Results 181 to 190 of about 804 (216)

On Continuous Regular Rings

Canadian Mathematical Bulletin, 1961
A subset K of a lattice is said to be directed if for any a, b∊K there is c∊K with c ≥ a, b. A complete lattice L is called upper continuous if for every directed subset (aα) and every element b.The following is a slight improvement of [4; Anmerkung 1. 11, p. 11].
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Regular Rank Rings

Canadian Journal of Mathematics, 1965
1.1. Throughout this note, will denote an associative ring but we shall not require to possess a unit.If A and B are subsets of , then A + B will denote the set {x + y| x ∊ A, y ∊ B}. Aτ will denote the set {u ∊ | au = 0 for all a ∊ A} .Elements a and b will be said to be orthogonal if ab = ba = 0.
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The regularity of munn rings and semigroup rings

Acta Mathematica Sinica, 1995
A ring means an associative ring, modules over rings are left ones. A ring \(R\) is said to have the strong IBN property iff every free \(R\)- module of any rank \(n\) cannot be generated by less than \(n\) elements. Let \(M_n (R)\) denote the full matrix ring of degree \(n\) over \(R\).
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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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Hyperspectral Image Super-Resolution Algorithm Based on Graph Regular Tensor Ring Decomposition

Remote Sensing, 2023
Kewen Qu, Wenxing Bao, Wei Feng
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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