We introduce a complete radical formula for modules over non-commutative rings which is
the equivalence of a radical formula in the setting of modules defined over commutative …

We introduce the concept of" uniformly primary submodules" of a module over a
commutative ring R, which generalizes the concept of" uniformly primary ideals" of R, a …

Most of the research on weakly prime and weakly 2-absorbing modules is for modules over
commutative rings. Only scatterd results about these notions with regard to non-commutative …

Let R be a commutative ring and let M be an R-module with the property that its zero
submodule has a primary decomposition. Let E be an injective R-module with W. Ass R (E) …

On Sums of Radical and Regular Rings Page 1 Journal of Mathematical Sciences, Vol. 128,
No. 6, 2005 ON SUMS OF RADICAL AND REGULAR RINGS MV Volkov and GV Tanana …

Let R be an associative ring with identity and M be a unitary right R‐module. A submodule N
of M is called a uniformly primal submodule provided that the subset B of R is uniformly not …

In this paper, we study some main properties of the commuting regular ideals and we give a
necessary and sufficient condition that a ring (or semi groups) is commuting regular. Some …

Jayaram and Tekir defined an R-module M, R is a commutative ring, to be “von Neumann
regular” if for each m∈ M, there exists an a∈ R such that R m= a M= a 2 M. Previously …

Let R be a commutative ring with 1 and M be a (left) unitary R–module. This essay gives
generalizations for the notions prime module and some concepts related to it. We termed an …

Throughout this paper, $ R $ is an associative ring (not necessarily commutative) with
identity and $ M $ is a right $ R $-module with unitary. In this paper, we introduce a new …