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Extensiones PBW torcidas de anillos de Baer, quasi-Baer, p.p. y p.q-Baer [PDF]
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
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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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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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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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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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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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