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    Wyświetlanie 1-11 z 11
    Tytuł:
    On fuzzy topological subalgebras of BCC-algebras
    Autorzy:
    Dudek, Wiesław
    Bae, Young
    Hong, Sung
    Powiązania:
    https://bibliotekanauki.pl/articles/728878.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    BCC-algebra
    fuzzy subalgebra
    fuzzy topological subalgebra
    Opis:
    We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 77-86
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Normal pseudo-BCK-algebras
    Autorzy:
    Dymek, Grzegorz
    Powiązania:
    https://bibliotekanauki.pl/articles/745204.pdf
    Data publikacji:
    2011
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    pseudo-BCK-algebra
    subalgebra
    ideal
    atom
    Opis:
    A normal pseudo-BCK-algebra \(X\) is an algebra in which every subalgebra of \(X\) is an ideal of \(X\). Characterizations of normal pseudo-BCK-algebras are given.
    Źródło:
    Commentationes Mathematicae; 2011, 51, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Superior subalgebras and ideals of BCK/BCI-algebras
    Autorzy:
    Jun, Young
    Song, Seok
    Powiązania:
    https://bibliotekanauki.pl/articles/728862.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    superior mapping
    superior subalgebra
    (commutative) superior ideal
    Opis:
    The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 85-99
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Positive Implicative Soju Ideals in BCK-Algebras
    Autorzy:
    Xin, Xiao Long
    Borzooei, Rajab Ali
    Jun, Young Bae
    Powiązania:
    https://bibliotekanauki.pl/articles/749900.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    soju subalgebra
    soju ideal
    positive implicative soju ideal
    Opis:
    The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.
    Źródło:
    Bulletin of the Section of Logic; 2019, 48, 1
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Length Neutrosophic Subalgebras of BCK=BCI-Algebras
    Autorzy:
    Jun, Young Bae
    Khan, Madad
    Smarandache, Florentin
    Song, Seok-Zun
    Powiązania:
    https://bibliotekanauki.pl/articles/1023278.pdf
    Data publikacji:
    2020-12-30
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    interval neutrosophic set
    interval neutrosophic length
    length neutrosophic subalgebra
    Opis:
    Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.
    Źródło:
    Bulletin of the Section of Logic; 2020, 49, 4; 377-400
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A note on semidirect sum of Lie algebras
    Autorzy:
    Ostrowski, Tadeusz
    Powiązania:
    https://bibliotekanauki.pl/articles/729075.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Lie algebra
    subalgebra
    ideal
    center
    semidirect sum
    homomorphism
    derivation
    Killing form
    Opis:
    In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 2; 233-247
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
    Autorzy:
    Derseh, Beza Lamesgin
    Alaba, Berhanu Assaye
    Wondifraw, Yohannes Gedamu
    Powiązania:
    https://bibliotekanauki.pl/articles/43179778.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    PMS-algebra
    intuitionistic fuzzy PMS-subalgebra
    homomorphism
    cartesian product and strongest intuitionistic fuzzy relation
    Opis:
    In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS-subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.
    Źródło:
    Bulletin of the Section of Logic; 2023, 52, 1; 19-38
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals
    Autorzy:
    Hamidi, Mohammad
    Powiązania:
    https://bibliotekanauki.pl/articles/43182799.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    single-valued neutrosophic (hyper)\(BCK\)-subalgebra
    quasi commutative diagram
    extendable single-valued neutrosophic (hyper)\(BCK\)-ideal
    Opis:
    This paper introduces the concept of single-valued neutrosophic hyper \(BCK\)-subalgebras as a generalization and alternative of hyper \(BCK\)-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper \(BCK\)-subalgebra and one a single-valued neutrosophic hyper \(BCK\)-ideal. In this study level subsets play the main role in the connection between singlevalued neutrosophic hyper \(BCK\)-subalgebras and hyper \(BCK\)-subalgebras and the connection between single-valued neutrosophic hyper \(BCK\)-ideals and hyper \(BCK\)-ideals. The congruence and (strongly) regular equivalence relations are the important tools for connecting hyperstructures and structures, so the major contribution of this study is to apply and introduce a (strongly) regular relation on hyper \(BCK\)-algebras and to investigate their categorical properties (quasi commutative diagram) via single-valued neutrosophic hyper \(BCK\)-ideals. Indeed, by using the single-valued neutrosophic hyper \(BCK\)-ideals, we define a congruence relation on (weak commutative) hyper \(BCK\)-algebras that under some conditions is strongly regular and the quotient of any (single-valued neutrosophic)hyper \(BCK\)-(sub)algebra via this relation is a (single-valued neutrosophic)(hyper \(BCK\)-subalgebra) \(BCK\)-(sub)algebra.
    Źródło:
    Bulletin of the Section of Logic; 2023, 52, 4; 411-440
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras
    Autorzy:
    Jun, Young Bae
    Song, Seok-Zun
    Powiązania:
    https://bibliotekanauki.pl/articles/750012.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    Inf-hesitant fuzzy p-ideal
    p-semisimple BCI-algebra
    Inf-hesitant fuzzy subalgebra
    Inf-hesitant fuzzy ideal
    Opis:
    Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are discussed. Using the notion of Inf-hesitant fuzzy (p-) ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.
    Źródło:
    Bulletin of the Section of Logic; 2020, 49, 1
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Complex Fuzzy Sets with Application in BCK/BCI-Algebras
    Autorzy:
    Jun, Young Bae
    Xin, Xiao Long
    Powiązania:
    https://bibliotekanauki.pl/articles/749996.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
    Tematy:
    complex t-norm
    min-complex t-norm
    complex subalgebra
    complex left (right) reduced ideal
    complex characteristic function
    Opis:
    As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras. The notions of a complex subalgebra and a complex left (right) reduced ideal in a BCK/BCI- algebra are introduced, and related properties are investigated. Characterizations of a complex subalgebra are provided, and the homomorphic image (preimage) of a complex subalgebra and a complex left (right) reduced ideal.
    Źródło:
    Bulletin of the Section of Logic; 2019, 48, 3; 173-185
    0138-0680
    2449-836X
    Pojawia się w:
    Bulletin of the Section of Logic
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Certain group dynamical systems induced by Hecke algebras
    Autorzy:
    Cho, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/255101.pdf
    Data publikacji:
    2016
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    free probability
    free moments
    free cumulants
    Hecke algebra
    normal Hecke subalgebra
    free probability spaces
    representations
    operators
    Hilbert spaces
    dynamical systems
    crossed product algebras
    Opis:
    In this paper, we study dynamical systems induced by a certain group [formula] embedded in the Hecke algebra H(Gp) induced by the generalized linear group Gp = GL2(Qp) over the p-adic number fields Qp for a fixed prime p. We study fundamental properties of such dynamical systems and the corresponding crossed product algebras in terms ol free probability on the Hecke algebra H(Gp).
    Źródło:
    Opuscula Mathematica; 2016, 36, 3; 337-373
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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