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Propiedad de Armendariz para las extensiones PBW torcidas y su anillo clásico de cocientes [PDF]
Revista Integración, 2016 Consideramos un primer acercamiento a la noción de anillo de Armendariz para una extensión torcida de Poincaré-Birkho-Witt (PBW), y su anillo clásico de cocientes.
Armando Reyes, Héctor Suárez
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Journal of Algebraic Systems, 2023 We say a ring R with unity is left weakly Baer if the left annihilatorof any nonempty subset of R is right s-unital by right semicentral idempotents,which implies that R modulo the left annihilator of any nonempty subset isflat.
S. Mehralinejadian +2 more
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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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Communications in Algebra, 2014 A right module M over a ring R is called feebly Baer if, whenever xa = 0 with x ∈ M and a ∈ R, there exists e2 = e ∈ R such that xe = 0 and ea = a. The ring R is called feebly Baer if RR is a feebly Baer module. These notions are motivated by the commutative analog discussed in a recent paper by Knox, Levy, McGovern, and Shapiro [6].
M Tamer Kosan +2 more
exaly +4 more sources
Stone Commutator Lattices and Baer Rings
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we transfer Davey‘s characterization for κ -Stone bounded distributive lattices to lattices with certain kinds of quotients, in particular to commutator lattices with certain properties, and obtain related results on prime, radical ...
Mureşan Claudia
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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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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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International Electronic Journal of Algebra, 2021 A $\ast$-ring $R$ is called a $\pi$-Baer $\ast$-ring, if for any projection invariant left ideal $Y$ of $R$, the right annihilator of $Y $ is generated, as a right ideal, by a projection. In this note, we study some properties of such $\ast$-rings. We indicate interrelationships between the $\pi$-Baer $\ast ...
SHAHIDIKIA, Ali +2 more
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