Results 231 to 240 of about 182,974 (268)
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On Strongly ?-Regular Group Rings
Southeast Asian Bulletin of Mathematics, 2003An element \(x\) in a ring \(R\) is said to be left or right \(\pi\)-regular if there exists \(y\in R\) and a positive integer \(n\) such that \(x^n=yx^{n+1}\) or \(x^n=x^{n+1}y\), respectively. If \(x\) is both left and right \(\pi\)-regular, then it is strongly \(\pi\)-regular, and \(R\) is said to be a strongly \(\pi\)-regular ring if all its ...
Chin, A. Y. M., Chen, H. V.
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On almost strongly regular rings
Journal of Algebra and Its ApplicationsA ring R is called almost strongly regular if for each a ∈ R, either a or 1 − a is strongly regular. The class of almost strongly regular rings lies properly between the class of strongly regular rings and the class of strongly clean rings.
Jian Cui, Yuanlin Li
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Acta Mathematica Hungarica, 1990
An associative ring \(R\) with identity is called strongly regular if for each \(a\in R\) there is an \(x\in R\) such that \(a=a^ 2x\). It is easy to see that a Noetherian ring \(R\) is strongly regular if and only if it is a finite direct product of division rings.
C. Jayaram
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An associative ring \(R\) with identity is called strongly regular if for each \(a\in R\) there is an \(x\in R\) such that \(a=a^ 2x\). It is easy to see that a Noetherian ring \(R\) is strongly regular if and only if it is a finite direct product of division rings.
C. Jayaram
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Tight closure and strongly F-regular rings
Research in Mathematical Sciences, 2022Melvin Hochster
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Left orders in strongly regular rings
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1993SynopsisIn this paper we characterise left orders in strongly regular rings, both for classical left orders and left orders in the sense of Fountain and Gould [2] where the ring of quotients need not have an identity.
P. N. Ánh, L. Márki
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A note on strongly π-regular rings
Acta Mathematica Hungarica, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strongly regular rings and rational identities of division rings
Periodica Mathematica Hungarica, 1987J. Lawrence
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Weakly and Strongly Regular Near-rings
Algebra Colloquium, 2005In this paper, we prove some basic properties of left weakly regular near-rings. We give an affirmative answer to the question whether a left weakly regular near-ring with left unity and satisfying the IFP is also right weakly regular. In the last section, we use among others left 0-prime and left completely prime ideals to characterize strongly ...
Argac, N, Groenewald, NJ
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Mod-retractable strongly π-regular rings and group algebras
, 2020In this work, we show that a two-sided mod-retractable and strongly π-regular ring is two-sided semiartinian. On the other hand, a strongly π-regular von Neumann regular ring is left mod-retractable if and only if it is a left semiartinian V-ring.
Mostafa Alaoui Abdallaoui +2 more
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