Temat: idempotents - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A characterization of weakly J(n)-rings
Autorzy:: Danchev, P. V.
Powiązania:: https://bibliotekanauki.pl/articles/2052406.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: Boolean rings
idempotents
units
nilpotents
Jacobson radical
J (n)-rings
pierścień Boole'a
idempotent pierścienia
element idempotentny
jednostki
nilpotent pierścienia
element nilpotentny
rodnik Jacobsona
Opis:: A ring $R$ is called a J(n)-ring if there exists a natural number $n \geq 1$ such that for each element $r \in R$ the equality $r^{n+1} = r$ holds and a weakly J(n)-ring if there exists a natural number $n \geq 1$ such that for each element $r \in R$ the equalities $r^{n+1} = r$ or $r^{n+1} = -r$ hold. We completely describe both classes of these rings R for any n, thus considerably extending some well-known results in the subject, especially that of V. Perić in Publ. Inst. Math. Beograd (1983) as well as, in particular, the classical description of Boolean rings when n = 1.
Źródło:: Journal of Mathematics and Applications; 2018, 41; 53-61
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Invo-regular unital rings
Autorzy:: Danchev, Peter V.
Powiązania:: https://bibliotekanauki.pl/articles/747073.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Unit-regular rings
clean rings
strongly clean rings
idempotents
involutions
nilpotents
units
Opis:: It was asked by Nicholson (Comm. Algebra, 1999) whether or not unit-regular rings are themselves strongly clean. Although they are clean as proved by Camillo-Khurana (Comm. Algebra, 2001), recently Nielsen and Ster showed in Trans. Amer. Math. Soc., 2018 that there exists a unit-regular ring which is not strongly clean. However, we define here a proper subclass of rings of the class of unit-regular rings, called invo-regular rings, and establish that they are strongly clean. Interestingly, without any concrete indications a priori, these rings are manifestly even commutative invo-clean as defined by the author in Commun. Korean Math. Soc., 2017.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2018, 72, 1
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: An irreducible semigroup of idempotents
Autorzy:: Drnovšek, Roman
Powiązania:: https://bibliotekanauki.pl/articles/1219585.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: invariant subspaces
idempotents
operator semigroups
Opis:: We construct a semigroup of bounded idempotents with no nontrivial invariant closed subspace. This answers a question which was open for some time.
Źródło:: Studia Mathematica; 1997, 125, 1; 97-99
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: On operator bands
Autorzy:: Drnovšek, Roman
Livshits, Leo
MacDonald, Gordon W.
Mathes, Ben
Radjavi, Heydar
Šemrl, Peter
Powiązania:: https://bibliotekanauki.pl/articles/1206129.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: invariant subspaces
idempotents
operator semigroups
Opis:: A multiplicative semigroup of idempotent operators is called an operator band. We prove that for each K>1 there exists an irreducible operator band on the Hilbert space $l^2$ which is norm-bounded by K. This implies that there exists an irreducible operator band on a Banach space such that each member has operator norm equal to 1. Given a positive integer r, we introduce a notion of weak r-transitivity of a set of bounded operators on a Banach space. We construct an operator band on $l^2$ that is weakly r-transitive and is not weakly (r+1)-transitive. We also study operator bands S satisfying a polynomial identity p(A, B) = 0 for all non-zero A,B ∈ S, where p is a given polynomial in two non-commuting variables. It turns out that the polynomial $p(A, B) = (A B - B A)^2$ has a special role in these considerations.
Źródło:: Studia Mathematica; 2000, 139, 1; 91-100
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Semiprime FDI-rings
Autorzy:: Gubareni, N.
Powiązania:: https://bibliotekanauki.pl/articles/122728.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: semiprime rings
prime rings
nilpotent ideal
nilpotency index
Jacobson radical
semiperfect ring
complete set of idempotents
FDI-rings
Opis:: In this paper we present some results for FDI-rings, i.e. rings with a complete set of pairwise orthogonal primitive idempotents. We consider the nilpotency index of ideals and give its upper band for ideals in some classes of rings. We also give a new proof of a criterion of semiprime FDI-rings to be prime.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 49-59
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Bi-ideals in Clifford ordered semigroup
Autorzy:: Hansda, Kalyan
Powiązania:: https://bibliotekanauki.pl/articles/728940.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Clifford (completely regular) ordered semigroup
ordered idempotents
bi-ideals
quasi-ideals
Opis:: In this paper we characterize both the Clifford and left Clifford ordered semigroups by their bi-ideals and quasi-ideals. Also we characterize principal bi-ideal generated by an ordered idempotent in a completely regular ordered semigroup.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 1; 73-84
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Dynamic projection operator method in the theory of hyperbolic systems of partial differential equations with variable coefficients
Autorzy:: Leble, S.
Vereshchagina, I.
Powiązania:: https://bibliotekanauki.pl/articles/1940707.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Gdańska
Tematy:: hyperbolic PDE
idempotents
inhomogeneous media
acoustics
Opis:: We consider a generalization of the projection operator method for the case of the Cauchy problem in 1D space for systems of evolution differential equations of first order with variable coefficients. It is supposed that the dependence of coefficients on the only variable χ is weak, that is described by the introduction of a small parameter. Such problem corresponds, for example, to the case of wave propagation in a weakly inhomogeneous medium. As an example, we specify the problem to adiabatic acoustics in waveguides with a variable cross-section. Projection operators are constructed for the Cauchy problem to fix unidirectional modes. The method of successive approximations (perturbation theory) is developed and based on the pseudodifferential operators theory. The application of projection operators adapted for the case under consideration allows deriving approximate evolution equations corresponding to the separated directed waves.
Źródło:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2017, 21, 2; 109-120
1428-6394
Pojawia się w:: TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:: Biblioteka Nauki

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