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Tytuł:
A spectral synthesis property for \(C_b(X, \Beta)\)
Autorzy:
Arizmendi-Peimbert, H.
Carrillo-Hoyo, A.
Garcı́a, A.
Powiązania:
https://bibliotekanauki.pl/articles/745757.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
spectral synthesis
strict topology
closed ideals
topological divisors of zero
Opis:
Let \((C_b (X) , \Beta)\) be the algebra of all continuous bounded real or complex valued functions defined on a completely regular Hausdorff space \(X\) with the usual algebraic operations and with the strict topology \(\Beta\). It is proved that \((C_b (X) , \Beta)\) has a spectral synthesis, i.e. every of its closed ideals is an intersection of closed maximal ideals of codimension 1. We give one necessary and two sufficient conditions over \(X\) in order that \((C_b (X) , \Beta)\) has no proper non-zero closed principal ideals. Moreover if \(X\) satisfy any of these two conditions and is also a k-space, then any non zero element of \(C_b(X)\) is invertible or a topological divisor of zero.
Źródło:
Commentationes Mathematicae; 2008, 48, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
B-almost distributive fuzzy lattice
Autorzy:
Assaye, Berhanu
Alemneh, Mihret
Tefera, Gerima
Powiązania:
https://bibliotekanauki.pl/articles/749988.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
almost distributive lattice
Heyting almost distributive lattice (HADL)
B-almost distributive lattice
principal ideals of an almost distributive lattice
Opis:
The paper introduces the concept of B-Almost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a B-ADFL are investigated. We also prove the equivalency of B-algebra and B-fuzzy algebra. In addition, we extend PSADL to PSADFL and prove that B-ADFL implies PSADFL.
Źródło:
Bulletin of the Section of Logic; 2018, 47, 3
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vague ideals of implication groupoids
Autorzy:
Bandaru, Ravi
Shum, K.
Powiązania:
https://bibliotekanauki.pl/articles/729079.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
implication groupoids
distributive implication groupiods
vague ideals
Opis:
We introduce the concept of vague ideals in a distributive implication groupoid and investigate their properties. The vague ideals of a distributive implication groupoid are also characterized.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 2; 221-231
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Reversal of the Exemplifying Role of History in Horace Walpole s “The Castle of Otranto ”
Autorzy:
BARĆ, SYBILLA
Powiązania:
https://bibliotekanauki.pl/articles/957652.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Opolski
Tematy:
Gothic novel
exemplary historicism
neoclassical ideals
the Gothic machinery
the supematural
primogeniture
authenticity
the barbarie past versus the enlightened present
Opis:
According to the traditional understanding, the role of history in literary works was te- aching by example. History was expected to provide readers with ready formulae for appropriate behaviour, to introduce models to follow and to identify with, as well as to explain the difficulties of life. In the second half of the eighteenth century such an appro- ach to history tumed out to be inadeąuate. This article presents Horace Walpole’s The Castle of Otranto - the first Gothic novel in English literaturę - as a work that subverts exemplary historicism by reversing the traditional exemplifying role of history. Published in 1764, when neoclassical ideals were still being promoted by such important writers as Doctor Samuel Johnson, Walpole’s novel commenced a new trend in literaturę that fully developed in Romanticism proper. It is not really intended to teach by example or to ren- der medieval history in terms of modem Enlightenment standards. Instead of rational explanations and balanced opinions its readers get an abundance of supematural pheno- mena and extravagant events. With its emphasis on entertainment rather than education, the story is a signum temporis, a significant step on the way towards the priority of aesthe- tic values in literary works. The article focuses on the novel in the context of its publica- tion in the Age of Reason. The two different prefaces are briefly analysed, and the chan- ging critical reception is presented. Some attention is also given to Clara Reeve’s The Old English Baron as an immediate successor of Walpole’s book, and simultaneously a strong criticism of his innovative perception of the role of literaturę. Despite the multitude of un- favourable comments by eighteenth-century writers and critics, the conclusion reached in this article is that such Gothic novels opened up a new perspective in the literary world. Walpole’s role as the forerunner in this field remains unquestionable.
Źródło:
Stylistyka; 2007, 16; 293-303
1230-2287
2545-1669
Pojawia się w:
Stylistyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bi-ideals in k-regular and intra k-regular semirings
Autorzy:
Bhuniya, Anjan
Jana, Kanchan
Powiązania:
https://bibliotekanauki.pl/articles/729007.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
k-bi-ideals
k-ideals
semiprimary subsets
k-regular semirings
intra k-regular semirings
Opis:
Here we introduce the k-bi-ideals in semirings and the intra k-regular semirings. An intra k-regular semiring S is a semiring whose additive reduct is a semilattice and for each a ∈ S there exists x ∈ S such that a + xa²x = xa²x. Also it is a semiring in which every k-ideal is semiprime. Our aim in this article is to characterize both the k-regular semirings and intra k-regular semirings using of k-bi-ideals.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2011, 31, 1; 5-23
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Славянские возвышенные идеи свободы, общности и братства в письмах разных лиц к Л.Н. Толстому и его ответ Стефании Ляудын-Хшановской Польcкой женщине („Одной из многих”)
Slavonic glorious ideals of freedom, union and brotherhood in letters to Count Leo Tolstoy and the writer’s reply to Stefania Laudyn-Chrzanowska - „To a Polish Woman (One of Many)
Autorzy:
Białokozowicz, Bazyli
Powiązania:
https://bibliotekanauki.pl/articles/481739.pdf
Data publikacji:
2008-12-01
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
Leo Tolstoy
Russian literature
Slavonic ideals
Opis:
The author’s of Resurrection letters to different addressees, as well as about 60 thousand letters to the Russian writer from all over the world are kept in the Department of Manuscript Works of the National Museum of Count Leo Tolstoy in Moscow. Indeed, it is a real mine of knowledge of the writer’s contemporary Russia and the world of those days. The author of this publication pays particular attention to the letters of correspondents in Slavonic countries who subjected Slavonic glorious ideals of freedom, union and brotherhood to a penetrating analysis in view of a peaceful community of people of different nationalities, races and cultures. Such were the letters to Count Leo Tolstoy of 6th July 1909 by All-Slavonic Association „Slavia”, as well as the letters of 11th June 1910 by a revived Polish Fellowship Association — reverting to noble as well as tragic Arian history in the Poland of Reformation, signed by Marian Tadeusz Lubecki, Jozef Ostka, Stefan Baraniecki, Stanisław Parczyński, Kazimierz Piątka, Amelia Poznańska and many others. The Russian writer was applied to with many various requests (e.g. Osip Vysoky of Czech in the matter of rendering; Andża Mita Petrovic of Belgrade in the concern of Bosnia-Herzegovina annexation by Austria; Marian Zdziechowski of Cracow in the issue of tolstoizm as a religious-ethical doctrine; Jan Niecisław Ignacy Baudouin and Jan Styka in the question of death penalty). Tolstoy’s confidant in European and Slavonic matters was a Slovakian doctor and philosopher, Dusan Makovicky, living in Yasna Polyana, the author of a masterpiece — The Yasna Polyana Record (1904—1910). Count Leo Tolstoy would consequently answer the rankling the Slavonic society questions in harmony with his rationalistic doctrine, called tolstoizm. According to the writer’s sound belief God is love and through Jesus Christ shares with His love with people. A full union with God — it is the union in the truth, love and peace. A man who chooses love is soaked through with endless kind-heartedness. The main feature of Tolstoy was a grave concern for the world’s doom. A Christian should be totally deprived of hate and the feeling of revenge; love, forgiveness, compassion, fight against evil through spreading kindliness and noble feelings should be the trails of the religion based on the life and teachings of Christ, in agreement with the principle: who lives with God, chooses love. The love of fellow being was seen and felt by the writer as a significant value which ought to be learnt and contributed to incessantly. The writer as an architect and director of purified of Christianity alien layers and a moral philosopher constantly supported kindliness and condemned evil, spreading out the space of hope and love through his obedience to peace and evangelical source of Christianity, which was perspicaciously expressed in the letter to Stefania Laudyn-Chrzanowska, in a form of a voluminous article — A Reply to a Polish Woman (One of Many).
Źródło:
Acta Polono-Ruthenica; 2008, 1, XIII; 277-286
1427-549X
Pojawia się w:
Acta Polono-Ruthenica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equivalence and reduction of delay-differential systems
Autorzy:
Boudellioua, M. S.
Powiązania:
https://bibliotekanauki.pl/articles/911236.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opis macierzowy
układ z opóźnieniem
równoważność systemu
bazy Gröbnera
polynomial matrix description
neutral delay-differential systems
strict system equivalence
determinantal ideals
Gröbner bases
Opis:
A new direct method is presented which reduces a given high-order representation of a control system with delays to a firstorder form that is encountered in the study of neutral delay-differential systems. Using the polynomial system description (PMD) setting due to Rosenbrock, it is shown that the transformation connecting the original PMD with the first-order form is Fuhrmann’s strict system equivalence. This type of system equivalence leaves the transfer function and other relevant structural properties of the original system invariant.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 15-22
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vom rechten Handeln in rechtloser Zeit – Ernst Wiecherts Novelle „Der Richter”
Acting rightly in times of lawlessness – Ernst Wiechert’s novella “The judge”
Autorzy:
Büttner, Matthias
Powiązania:
https://bibliotekanauki.pl/articles/967459.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Ernst Wiechert
novella
National Socialism
ideological delu
law and justice
moral integrity
guilt
dramatic structure
characterisation
humanism based on Christian ideals
Opis:
The novella "The Judge" by Ernst Wiechert gives testimony to the poet’s critical analysis and examination of the immediate National Socialist past and, at the same time, tries to provide some forward-looking re-orientation in terms of a comprehensive humanism based on Christian ideals. Wiechert’s narrative follows a dramatic structure in accordance with the tragedies of Classical Greek Antiquity. Faced with an existential crisis, the title character has to prove his moral integrity and steadfastness. Deluded by the pervasive Nazi ideology, the judge’s son goes astray by killing a former friend but finally, thanks to his father’s cautious, gentle guidance, finds his way back. At the end of the novella the son even atones for his wrongs while his father, an unfaltering representative and unswerving advocate of law and justice, resigns from his office in the face of the lawlessness he has experienced under the Nazi terror regime. Apart from analysing the plot of Wiechert’s novella, this study also examines the clearly outlined characters as well as the complex theme of guilt, repentance and forgiveness. Finally, the article focuses on the author’s intention of taking part in the social and political discourse of post-war Germany by conveying his message of humanity and moral integrity.
Źródło:
Acta Universitatis Lodziensis. Folia Germanica; 2015, 11; 157-168
2449-6820
Pojawia się w:
Acta Universitatis Lodziensis. Folia Germanica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An effective procedure for minimal bases of ideals in Z[x]
Autorzy:
Cáceres-Duque, Luis
Powiązania:
https://bibliotekanauki.pl/articles/728989.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
ideals
minimal bases for ideals
polynomials over integers
Opis:
We give an effective procedure to find minimal bases for ideals of the ring of polynomials over the integers.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 1; 5-11
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Complicated BE-algebras and characterizations of ideals
Autorzy:
Çeven, Yılmaz
Çiloğlu, Zekiye
Powiązania:
https://bibliotekanauki.pl/articles/729203.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
BE-algebras
complicated BE-algebras
ideals in BE-algebras
Opis:
In this paper, using the notion of upper sets, we introduced the notions of complicated BE-Algebras and gave some related properties on complicated, self-distributive and commutative BE-algebras. In a self-distributive and complicated BE-algebra, characterizations of ideals are obtained.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 1; 41-51
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On ideals of a skew lattice
Autorzy:
Costa, João Pita
Powiązania:
https://bibliotekanauki.pl/articles/728981.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
noncommutative lattice
skew lattice
band of semigroups
ideals
coset structure
Green's relations
skew Boolean algebras
Opis:
Ideals are one of the main topics of interest when it comes to the study of the order structure of an algebra. Due to their nice properties, ideals have an important role both in lattice theory and semigroup theory. Two natural concepts of ideal can be derived, respectively, from the two concepts of order that arise in the context of skew lattices. The correspondence between the ideals of a skew lattice, derived from the preorder, and the ideals of its respective lattice image is clear. Though, skew ideals, derived from the partial order, seem to be closer to the specific nature of skew lattices. In this paper we review ideals in skew lattices and discuss the intersection of this with the study of the coset structure of a skew lattice.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2012, 32, 1; 5-21
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Konsekwencje ideologizacji kooperatyzmu polskiego
Последствия идеологизации польского кооперативизма
Consequences of the Ideologization of Polish Cooperatism
Autorzy:
Cwynar, Katarzyna M.
Powiązania:
https://bibliotekanauki.pl/articles/497328.pdf
Data publikacji:
2018
Wydawca:
Stowarzyszenie Filozofów Krajów Słowiańskich
Tematy:
кооперативизм
идеологизация
государственные кооперативы
политический нейтралитет
искажение идеалов
kooperatyzm
ideologizacja
spółdzielczość państwowa
neutralność polityczna
wypaczenie ideałów
cooperative movement
ideologization
state cooperatives
political neutrality
distortion of ideals
Opis:
Одним из основных принципов кооперативного движения, принятого в XIX веке, было правило политического (и религиозного) нейтралитета. Несоблюдение этого принципа означало подчинение кооперативной деятельности политическим интересам, определяемым политическими движениями или государственными органами. Политизация кооперативизма привела к искажению идеалов этого движения. Возрождение польской государственности после второй мировой войны было отмечено марксизмом-ленинизмом как правильное направление для формирования политической системы коммунизма. Это означало отрицание политического нейтралитета и автономии кооперации. Автор указывает на положительные и отрицательные последствия тогдашней идеологизации польского кооперативизма в их теоретическом и практическом измерении.
One of the basic principles of the cooperative movement, adopted in the nineteenth century, was the rule of political (and religious) neutrality. Disobey this rule led to the merger or even subordination of the cooperative’s activities to political interests presented by political movements or state authorities. Politicization of cooperatism resulted in a distortion of the ideals of this movement. The rebirth of Polish statehood after the Second World War was marked by marxism-leninism as the right direction for shaping the political system. This meant the negation of political neutrality and autonomy of the cooperatives. The author points to the positive and negative effects of the ideologization of Polish cooperatism in their theoretical and practical dimension.
Źródło:
ΣΟΦΙΑ. Pismo Filozofów Krajów Słowiańskich; 2018, 18; 117-131
1642-1248
Pojawia się w:
ΣΟΦΙΑ. Pismo Filozofów Krajów Słowiańskich
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cztery razy jedno, jedno dzielone na cztery? Język poezji a wspólnota domu. Rodzina poetów
Four times one, one divided by four? The language of poetry and the community of home. The poets’ family
Autorzy:
Dąbrowska-Czoch, Maria
Powiązania:
https://bibliotekanauki.pl/articles/627159.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Gdański. Wydział Filologiczny
Tematy:
family autobiographism
the differences and the coherences
the images of home
the works of people
the same family space
the world of values and memory
the issue of ideals
memory
historical perspective
autobiografizm rodzinny
różnice jak i powiązania
obrazy domu
twórczość osób
ta sama przestrzeń rodzinna
świat wartości i pamięci
kwestia ideałów
pamięć
perspektywa historyczna
Opis:
W odniesieniu do całego tomiku T. Ferenc, Z. Jankowskiego, A. Janko i M. Wieczorek Cztery twarze domu. Antologia rodzinna można użyć, mając na uwadze, że „żadna synteza nie może być tylko sumą” (Mieczysław Jastrun), określenia autobiografizm rodzinny. Zarysowuje się w tych wierszach jakaś wspólna historia. Starałam się opisać zarówno różnice jak i powiązania pomiędzy obrazami domu w twórczości osób należących do tej samej przestrzeni rodzinnej. Łączy się ona również ze światem wartości i pamięci. U Zbigniewa Jankowskiego wyróżnia się kwestia ideałów, u Teresy Ferenc zaznaczona jest szczególnie pamięć. U Janko tło historyczne jest nie aż tak konkretne. U Wieczorek obecna jest również, choć w zupełnie inny sposób, w kontekście sztuki, perspektywa historyczna.
With reference to the whole volume by T. Ferenc, Z. Jankowski, A. Janko, M. Wieczorek entitled Cztery twarze domu. Antologia rodzinna (‘Four faces of home. Family anthology’), having in mind the words of Mieczysław Jastrun that “no synthesis can be only a sum”, it is possible to use the expression family autobiographism. In these poems a kind of common history can be observed. What tried to describe are both the differences and the coherences between the images of home in the works of people belonging to the same family space. The space is also related to the world of values and memory. Zbigniew Jankowski makes the issue of ideals stand out, Teresa Ferenc particularly highlights the issue of memory. Janko does not make historical background very specific. In her work Wieczorek presents, though in a completely different manner – in the context of art – historical perspective.
Źródło:
Język - Szkoła - Religia; 2014, 9, 2; 122-141
2080-3400
Pojawia się w:
Język - Szkoła - Religia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Seksualizacja dzieciństwa. Wybrane aspekty
Sexualisation of childhood. Selected aspects
Autorzy:
Dobosz, Dagmara
Powiązania:
https://bibliotekanauki.pl/articles/1387391.pdf
Data publikacji:
2019-12-17
Wydawca:
Uniwersytet Gdański. Wydawnictwo Uniwersytetu Gdańskiego
Tematy:
sexualisation
media
childhood
beauty ideals
popular culture
Opis:
This paper presents an overview of issues related to the problem of child sexualisation in the context of exposing children to sexualised images of teenagers and adults, especially in the context of promoting feminine beauty ideals as well as styling young girls as adults and giving them an erotic character. As a framework the definition of sexualisation developed by the APA was used. Possible consequences of sexualisation were discussed based on a review of previously published studies.
Źródło:
Problemy Wczesnej Edukacji; 2019, 47, 4; 125-134
1734-1582
2451-2230
Pojawia się w:
Problemy Wczesnej Edukacji
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
General and mathematician: Adam Olgierd Uziembło (1906-1990)
Autorzy:
Duda, Roman
Powiązania:
https://bibliotekanauki.pl/articles/749665.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
biogram, logical connectives, semigroups of transformations, unity, ideals
Opis:
Adam Olgierd Uziembło (AOU) urodził się 3 maja 1906 roku w Kimrach nad Wołgą w rodzinie Adama (1985-1971) i Marii Jadwigi (z domu Wierzejskiej). Jego dziadek Józef Uziembło (1854-1918) był w latach 1974-1878 organizatorem kółek socjalistycznych w Kijowie, Moskwie i Warszawie. AOU wychowywał się w domu babki Katarzyny razem z dwiema siostrami stryjecznymi. Kiedy rodzice się rozwiedli - pozostał pod opieką matki i babki. W czasie I wojny światowej ojciec AOU był w wojsku austriackim, a potem w polskich legionach. W 1917 r. ożenił się po raz drugi  z Marią Janiną z domu Kalińską, z którą miał córkę Anielę (ur. 1919).           AOU znalazł się w Moskwie, gdzie po rewolucji uczył się w polskiej szkole, którą prowadziło NKWD, a uczyły w niej m.in. jego matka Maria, Maria Domrazek, Zofia Dzierżyńska (żona Feliksa), Zofia Słomnicka-Samelson i inni.  Do Polski AOU przyjechał z matką w 1920 r. Uczył się w gimnazjum im. Rejtana w Warszawie i tam zdał maturę w 1924  r., a potem do 1932 r. studiował matematykę na Uniwersytecie Warszawskim. Interesowała go logika i brał udział w seminariach profesora Jana Łukasiewicza i docenta Alfreda Tarskiego.  Studia musiał przerwać. Wojnę spędził w oflagu, a potem wstąpił do wojska. Ukończył je dopiero na Uniwersytecie Wrocławskim 1956 r. i tamże doktoryzował  się w 1962 r., a w 1968 r. uzyskał habilitację na Uniwersytecie Warszawskim.
Adam Olgierd Uziembło (AOU) was born on 3rd May of 1906 in Kimry on the Volga in the family of Adam (1985-1971) and Maria Jadwiga (née Wierzejski). His grandfather Joseph Uziembło (1854-1918)  was the organizer of the socialist circles in Kiev, Moscow and Warsaw in the years 1974-1878. AOU grew up in his grandmother Catherine's house, along with two uncle Władysław's doughters. When his parents got divorced - remained under the care of his mother and grandmother. During the World War I AOU father was in the Austrian army, and then in the Polish Legions. In 1917 he married a second time with Maria Janina (ne\'e Kalińska), with whom he had a daughter, Angela (b. 1919).           AOU was in Moscow, where after the revolution he was taught in Polish schools, which led the NKVD, and taught in it, among others, his mother, Maria, Maria Domrazek, Sofia Dzerzhinskaya (wife of Felix), Sophia Słomnicka-Samelson, and others. To Poland AOU came with his mother in 1920. He studied at the Gymnasium Rejtana in Warsaw, where he was  graduated in 1924, and then he studied mathematics at the University of Warsaw up to 1932. He was interested in logic and participated in seminars Professor Jan {\L}ukasiewicz and Associate Professor Alfred Tarski. He had to stop the study. He spent the war in a POW  camp (Oflag), then joined the army. He was graduated from the Wrocław University in 1956.  And there he received his doctorate degree in 1962. In 1968 he got habilitation at the Warsaw University.
Źródło:
Antiquitates Mathematicae; 2014, 8
1898-5203
2353-8813
Pojawia się w:
Antiquitates Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł

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