Results 1 to 10 of about 174 (111)
Polynomial extensions of quasi-Baer rings
Acta Mathematica Hungarica, 2005 \textit{E. P. Armendariz} [J. Aust. Math. Soc. 18, 470-473 (1974; Zbl 0292.16009)] proved that a polynomial extension \(R[x]\) of a reduced ring \(R\) is a Baer ring if and only if \(R\) is Baer. Some generalizations of this result to more general classes of rings (quasi-Baer, p.p.-rings and p.q.-Baer) and different classes of ring extensions were ...
E Hashemi, A Moussavi
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On Crossed Product Rings Over p.q.-Baer and Quasi-Baer Rings
International Journal of Analysis and Applications, 2023 In this paper, we consider a ring R and a monoid M equipped with a twisting map f: M×M -> U(R) and an action map ω: M -> Aut(R). The main objective of our study is to investigate the conditions under which the crossed product structure R⋊M is p.q.-Baer ...
Eltiyeb Ali
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On twisted ordered monoid rings over quasi-Baer rings
Le Matematiche, 2011 In this paper we show that if M is an Ordered monoid then the twisted monoid ring R^T M is (left principally) quasi-Baer if and only if R is (left principally) quasi-Baer.
Ahmad Ageeb +2 more
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A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS
Taiwanese Journal of Mathematics, 2008 Let $R$ be a ring with unity. It is shown that the formal power series ring $R[[x]]$ is right p.q.-Baer if and only if $R$ is right p.q.-Baer and every countable subset of right semicentral idempotents has a generalized countable join.
Cheng, Yuwen, Huang, Feng-Kuo
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Generalized π-Baer *-rings [PDF]
Journal of Algebraic Systems, 2023 A *-ring $R$ is called a generalized $\pi$-Baer *-ring, if for any projection invariant left ideal $Y$ of $R$, the right annihilator of $Y^n$ is generated, as a right ideal, by a projection, for some positive integer $n$, depending on $Y$
Ali Shahidikia, Haimd Haj Seyyed Javadi
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BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS [PDF]
Journal of Algebraic Systems, 2019 A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an ...
E. Hashemi, Kh. Khalilnezhad, M. Ghadiri
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Quasi-Baer ring extensions and biregrular rings [PDF]
Bulletin of the Australian Mathematical Society, 2000 A ringRwith unity is called a (quasi-) Baer ring if the left annihilator of every (left ideal) nonempty subset ofRis generated (as a left ideal) by an idempotent. Armendariz has shown that ifRis a reduced PI-ring whose centre is Baer, thenRis Baer.
Birkenmeier, Gary F. +2 more
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A CHARACTERIZATION OF BAER-IDEALS [PDF]
Journal of Algebraic Systems, 2014 An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
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Baer and quasi-Baer properties of group rings [PDF]
Journal of the Australian Mathematical Society, 2007 AbstractA ring R is said to be a Baer (respectively, quasi-Baer) ring if the left annihilator of any nonempty subset (respectively, any ideal) of R is generated by an idempotent. It is first proved that for a ring R and a group G, if a group ring RG is (quasi-) Baer then so is R; if in addition G is finite then |G|–1 € R.
Yi, Zhong, Zhou, Yiqiang
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Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw 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 generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem +2 more
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