Results 21 to 30 of about 93 (57)
We propose different generalizations of unit-regularity of elements in general rings (non necessarily unital rings). We then study general rings for which all elements have these properties.
Mary, Xavier, Patrício, Pedro
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On Noncommutative Generalisations of Boolean Algebras [PDF]
Skew Boolean algebras (SBA) and Boolean-like algebras (nBA) are one-pointed and n-pointed noncommutative generalisation of Boolean algebras, respectively.
Bucciarelli, Antonio, Salibra, Antonino
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Polynomial extensions of cP-Baer rings
Birkenmeier and Heider, in [2], say that a ring R is right cP-Baer if the right annihilator of a cyclic projective right R-module in R is generated by an idempotent. These rings are a generalization of the right p.q.-Baer and abelian rings.
Aramideh, Nasibeh, Moussavi, Ahmad
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Topology and monoid representations
The goal of this paper is to use topological methods to compute $\mathrm{Ext}$ between an irreducible representation of a finite monoid inflated from its group completion and one inflated from its group of units, or more generally coinduced from a ...
Steinberg, Benjamin
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ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS [PDF]
Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew ...
Mohammad Habibi
core +1 more source
Semicentral idempotents in the multiplication ring of a centrally closed prime ring [PDF]
Let R be a ring and let M(R) stand for the multiplication ring of R. An idempotent E in M(R) is called left semicentral if its range E(R) is a right ideal of R.
Cabello, J.C., Cabrera, M., Nieto, E.
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Semiassociative algebras over a field
An associative central simple algebra is a form of matrices, because a maximal \'{e}tale subalgebra acts on the algebra faithfully by left and right multiplication.
Blachar, Guy +4 more
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On Principally Quasi-Baer Modules [PDF]
Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper, we introduce a class of modules that is a generalization of principally quasi-Baer rings and Baer modules.
Agayev, Nazım +3 more
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We investigate the question whether the p.q.-Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer may be affirmative.
Tai Keun Kwak
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Isomorphisms of Formal Matrix Rings with Zero Trace Ideals [PDF]
© 2018, Pleiades Publishing, Ltd. We obtain explicit criteria for the isomorphism of formal matrix rings with zero trace ideals. In particular, we consider the case of formal upper-triangular matrix rings with semicentral reduced rings on the principal ...
Tapkin D.
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