Results 1 to 10 of about 6,218,340 (134)
GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES [PDF]
Barekeng, 2023 An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is called vN (von-Neumann)-regular ring if every element is regular. Recall that for any ring R always can be considered as module over itself.
Hubbi Muhammad, Sri Wahyuni
doaj +7 more sources
On n-flat modules and n-Von Neumann regular rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
doaj +7 more sources
von Neumann regular modules [PDF]
Communications in Algebra, 2017 In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules.
C. Jayaram, Ünsal Tekir
core +5 more sources
Characterizing $S$-flat modules and $S$-von Neumann regular rings by uniformity [PDF]
, 2021 Let $R$ be a ring and $S$ a multiplicative subset of $R$. An $R$-module $T$ is called $u$-$S$-torsion ($u$- always abbreviates uniformly) provided that $sT=0$ for some $s\in S$. The notion of $u$-$S$-exact sequences is also introduced from the viewpoint of uniformity.
Zhang, Xiaolei
openaire +3 more sources
Relative Regular Modules. Applications to von Neumann Regular Rings [PDF]
Applied Categorical Structures, 2009 6 ...
Leonard Dăuş
openaire +4 more sources
From regular modules to von Neumann regular rings via coordinatization [PDF]
Romanian Journal of Mathematics and Computer Science, 2013 In this paper we establish a very close link (in terms of von Neumann's coordinatization) between regular modules introduced by Zelmanowitz, on one hand, and von Neumann regular rings, on the other hand: we prove that the lattice $\mathcal{L}^{fg}(M)$ of all finitely generated submodules of a finitely generated regular module $M$, over an arbitrary ...
Leonard Daus, Mohamed A. Salim
openaire +4 more sources
The sum-product splitting property and injective direct sums of modules over von Neumann regular rings [PDF]
Proceedings of the American Mathematical Society, 1981 ABsmsAcr. Let (Mi)ie be a family of modules over a von Neumann regular ring. It is shown that for the splitness of the canonical inclusion ffl IMi c iEEIM it is necessary and sufficient that there be a finite subset F' of I such that the restricted sum DiE\,{M is semisimple with finitely many homogeneous components, all simple summands being finite ...
Birge Zimmermann-Huisgen
openaire +3 more sources
On ȷ-flat modules and ȷ-von Neumann regular rings
FilomatLet R be a commutative ring with a non-zero identity and ? be an ideal R. In this paper, we introduce and investigate the concepts of ?-torsion modules, ?-torsion free modules, ?-flat modules and ?-von Neumann regular rings. Many examples, characterizations, and properties of these notions are given.
Adam Anebri, Najib Mahdou, El Oubouhou
openaire +3 more sources
Projective modules over von Neumann regular rings have the finite exchange property [PDF]
Osaka Journal of Mathematics, 1983 Kiyoichi Oshiro
openaire +5 more sources
Some Properties of Strongly Principally Self-Injective Modules [PDF]
Journal of Applied Sciences and Nanotechnology, 2022 The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid +2 more
doaj +1 more source