In this paper, we introduce weakly 1-absorbing primary submodules of modules over
commutative rings. Let R be a commutative ring with a nonzero identity and M be a nonzero …

Let 𝑅 be a commutative ring with identity. The aim of this paper is introduce the notion of a
pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a …

Assume that M is an R-module where R is a commutative ring. A proper submodule N of M is
called a weakly 2-absorbing primary submodule of M if $0 {\neq} abm {\in} N $ for any $ a, b …

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 identity. A proper submodule N of an R-module M is said to
be a 2-absorbing submodule of M if whenever abm∈ N for some a, b∈ R and m∈ M, then …

Let R be a commutative ring with identity and M be a unitary R-module. A proper submodule
N of M is 2− absorbing if r1, r2, r3∈ R, m∈ M with r1r2r3m∈ M implies r1r2m∈ N or …

Let R be a commutative ring with identity and M be a unitary R-module. Let ϕ: S (M)→ S
(M)∪∅ ϕ:S(M)→S(M)∪{∅\} be a function, where S (M) is the set of submodules of M. We …

This article introduces the concept of S-2-absorbing primary submodule as a generalization
of 2-absorbing primary submodule. Let S be a multiplicatively closed subset of a ring R and …

In this paper, we introduce the notion of classical n-absorbing submodules of a module M
over a commutative ring R with identity, which is a generalization of classical prime …

Let R be a commutative ring with identity and M be a unitary R-module, In this paper, we
investigate some properties of almost 2-absorbing submodules of M as a new generalization …