Let R be a commutative ring. It is known that any injective endomorphism of finitely
generated R-module is an isomorphism if and only if every prime ideal of R is maximal. This …

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 …

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) …

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 …

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 …

On Weakly Semiprime Ideals in Commutative Rings Page 1 ISSN 1686-0209 Thai Journal of
Mathematics Volume 19 Number 1 (2021) Pages 125–129 http://thaijmath.in.cmu.ac.th On …

Recall that a ring R is said to be a quasi regular ring if its total quotient ring q (R) is von
Neumann regular. It is well known that a ring R is quasi regular iff it is a reduced ring …