Results 231 to 240 of about 38,836 (265)

On regular rings and continuous rings, III

Annali di Matematica Pura ed Applicata, 1984
[Part II, cf. Kyungpook Math. J. 21, 171-176 (1981; Zbl 0516.16007).] A left A-module M is called FK-injective if, for any left submodule F isomorphic to a complement nonzero left submodule K of M, any relative complement C of \({}_ AF\) in \({}_ AM\) and any left submodule L of M containing \(C+F\), every epimorphism of \({}_ AL\) into \({}_ AK ...
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Semiregular, weakly regular, and π-regular rings

Journal of Mathematical Sciences, 2002
This is a survey paper related to regular rings and their generalizations. It introduces many rings and modules, such as: semiregular and regular modules, semiregular and regular rings, semiprime and nonsingular rings, weakly \(\pi\)-regular and weakly regular rings, strongly \(\pi\)-regular and \(\pi\)-regular rings, rings of quotients and Pierce ...
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Regular semiartinian rings

Russian Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On regular rings and V-rings

Monatshefte f�r Mathematik, 1979
In this note, certain generalisations of strongly regular rings are considered in connection with regular rings andV-rings. The result that strongly regular rings are left (and right)V-rings [11] is extended. A condition for prime leftV-rings to be primitive with non-zero socle is given (this is related to a question ofFisher [7, Problem 3].
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Regular P.I.-Rings

Proceedings of the American Mathematical Society, 1973
Armendariz, E. P., Fisher, Joe W.
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The complete matrix ring over an adjoint regular ring is adjoint regular

Semigroup Forum, 2009
A ring \(R\) is adjoint regular if \(R\) forms a regular semigroup with respect to the circle composition \(a\circ b=a+b-ab\). \textit{X.-K. Du} [Northeast. Math. J. 4, No. 4, 463-468 (1988; Zbl 0697.16007)] has conjectured that the ring \(R_n\) of all \(n\times n\) matrices over \(R\) is adjoint regular whenever \(R\) is.
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A symmetric generalization of $$\pi $$-regular rings

Ricerche Di Matematica, 2021
Peter V Danchev
exaly  

On stable range one property and strongly $$\pi $$-regular rings

Afrika Matematika, 2020
Mahdou Najib
exaly  

Regular and generalized regular rings

1974
During his study of continuous geometries, J. von Neumann found that any complemented modular lattice satisfying certain mild conditions arises from a specific type of ring, which he termed a regular ring. In the first place, these rings turn out to be a generalization of artinian semisimple rings, and subsequent studies have shown that the concepts of
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Modules Whose Endomorphism Rings are Unit-Regular

Communications in Algebra, 2016
Gangyong Lee, Xiaoxiang Zhang
exaly