Let R be a commutative ring with a nonzero identity and let M be a unitary R-module. We
introduce the concepts of 2-absorbing and weakly 2-absorbing submodules of M and give …

All rings are commutative with 1= 0, and all modules are unital. The purpose of this paper is
to investigate the concept of 2-absorbing primary submodules generalizing 2-absorbing …

Sažetak All rings are commutative with identity, and all modules are unital. The purpose of
this article is to investigate n-absorbing submodules. For this reason we introduce the …

In this paper, we introduce the concept of 2-absorbing submodules as a generalization of 2-
absorbing ideals. Let R be a commutative ring and M an R-module. A proper submodule N …

Let $ R $ be a commutative ring with non-zero identity. We define a proper submodule $ N $
of an $ R $-module $ M $ to be weakly prime if $0\not= rm\in N $($ r\in R, m\in M $) implies …

Let R be a commutative ring and M an R-module. In this paper, we study the dual notion of
prime submodules (that is, second submodules of M) and investigate the conditions under …

Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let (M) be
the set of all submodules of M, and φ:(M)→(M)∪{∅} be a function. We say that a proper …

A proper submodule N of an R-module M is called a weakly prime [resp. a prime]
submodule, if for any elements a, b∈ R and x∈ M, the condition abx∈ N [resp. ax∈ N] …

Modules in which every proper submodule (resp. proper nonzero submodule) is prime
(called fully prime (almost fully prime)) and with some other related notions are fully …

In this article, we define almost prime submodules as a new generalization of prime and
weakly prime submodules of unitary modules over a commutative ring with identity. We …