Let G be a ΓM-module. A ΓM-submodule N of G is said to be prime if for any ideal I of M and
for any ΓM-submodule V of G, V ΓI⊆ N implies V⊆ N or I⊆(N: G) M. The purpose of this …

Let R be an arbitrary ring and M be a right R-module. A proper submodule N of M is called
almost prime (respectively, weakly prime) if for each submodule K of M and each ideal I of R …

Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous to δsupplemented modules and principally⊕ …

Let R be a commutative ring with non-zero identity. We define a proper submodule Nof an R-
module M to be quasi-primary if PM Nrad R=):(is a prime ideal of R. In this case we also say …

The aim of this paper is to study the conditions by which a P-prime submodule can be
expressed as a finite intersection or union of P-prime submodules. Also corresponding to …

Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous of δ-supplemented modules defined by Kosan. The …

S-second submodules of a module Page 1 © Algebra and Discrete Mathematics RESEARCH
ARTICLE Volume 32 (2021). Number 2, pp. 197ś210 DOI:10.12958/adm1437 S-second …

We investigate some properties of supplement submodules. Some relations between lying-
above and weak supplement submodules are also studied. Let V be a supplement of a …

Prime submodules and prime modules have appeared in many contexts. Modifying the
structure of prime ideals, many authors want to transfer this notion to right or left modules …