Results 11 to 20 of about 2,933 (156)
Baer and quasi-Baer annihilator conditions for nearrings and rings
Communications in Algebra, 2022 A ring with unity is called Baer (quasi-Baer) if the left annihilator of each nonempty set (ideal) is generated by an idempotent element. The origins of the class of Baer rings evolved as an abstraction of the strictly algebraic properties of von Neumann algebras. This concept has been extended to nearrings.
Gary F. Birkenmeier +5 more
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Extensiones PBW torcidas de anillos de Baer, quasi-Baer, p.p. y p.q-Baer
Revista Integración, 2015 El propósito de este artículo es estudiar las extensiones torcidas de Poincaré-Birkhoff-Witt de anillos de Baer, quasi-Baer, p.p. y p.q.-Baer. Utilizando una noción de rigidez, probamos que estas propiedades son estables para esta clase de extensiones ...
Armando Reyes
doaj +3 more sources
Polynomial extensions of Baer and quasi-Baer rings
Journal of Pure and Applied Algebra, 2001 A ring \(R\) is called (quasi-)Baer ring if the right annihilator of every (ideal) non-empty subset of \(R\) is generated, as a right ideal, by an idempotent of \(R\). Theorem 1.2. Let \(R\) be a quasi-Baer ring. Then the following extension rings are quasi-Baer rings, where \(X\) is an arbitrary nonempty set of not necessarily commuting indeterminates
Birkenmeier, Gary F. +2 more
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Skew Hurwitz series over quasi Baer and PS-rings
Le Matematiche, 2012 In this paper, we consider some properties of rings which are shared by the ring R and the ring T = (HR, σ ) of skew Hurwitz series. In particular we show that:1) If R is a ring with char(R) = 0 and σ is an R -automorphism such that σ (e) = e and the ...
Refaat Mohamed Salem
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A Characterization of δ-quasi-Baer Rings
A Characterization of δ-quasi-Baer RingsLet δ be a derivation on R. A ring R is called δ-quasi-Baer (resp. quasi-Baer) if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent of R. In this note first we give a positive answer to the question posed in Han et al. [7], then we show that R is δ-quasi-Baer iff the differential polynomial ring
Hashemi, Ebrahim
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Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchLet R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam +2 more
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A note on generalized quasi-Baer rings [PDF]
Kragujevac Journal of Mathematics, 2014 A ring with identity is generalized quasi-Baer if for any ideal I of R, the right annihilator of In is generated by an idempotent for some positive integer n, depending on I. We study the generalized quasi-Baerness of R[x; σ; б] over a generalized quasi-Baer ring R where a is an automorphism of R.
M. Anzani, Haj Javadi
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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Some results on quasi-t-dual Baer modules
, 2023 summary:Let $R$ be a ring and let $M$ be an $R$-module with $S=\rm{End}_R(M)$. Consider the preradical ${\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}$ for the category of right $R$-modules Mod-$R$ introduced by Y. Talebi and N.
Tribak, Rachid +2 more
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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