In this paper, we investigate the class of von Neumann regular modules over commutative
rings. More precisely, we introduce a characterization of regular modules, and then, we …

arXiv:1609.08054v1 [math.AC] 26 Sep 2016 Page 1 arXiv:1609.08054v1 [math.AC] 26 Sep
2016 1 SOME GENERALIZATIONS OF SECOND SUBMODULES H. ANSARI-TOROGHY AND …

In this paper, various results of reduced and semicommutative rings are extended to
reduced and semicommutative modules. In particular, we show:(1) For a principally quasi …

In this paper we work on weakly second submodules of a module over a noncommutative
ring. As a dualization of weakly prime submodules, some results are obtained by dualizing …

Weakly second modules over noncommutative rings Page 1 Hacettepe Journal of
Mathematics and Statistics Volume 45 (5) (2016), 1355 1366 Weakly second modules over …

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 …

In this article, we introduce the notion of strongly π-regular module which is a generalization
of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠ 0 …

Results gotten for a module M over a commutative ring have been broadened to module
over a ring which is not necessarily commutative. It has been indicated that an R-module M …

Let R be a commutative ring with nonzero identity. Our objective is to investigate
representable modules and to examine in particular when submodules of such modules are …

In this article, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …