This paper aims to introduce a new class of submodules, called (m, n)-semiprime
submodule, which is a generalization of semiprime submodule. Let M be a unital A-module …

This article gives several properties of a new type of submodules, namely weakly (m, n)-
semiprime submodules where m and n are positive integers satisfying m> n. The primary …

This article introduces the concept of S‐semiprime submodules which are a generalization
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …

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 submodule of an R-module M which Dauns 1 was named semiprime submodules that
they are generalized of semiprime ideals, which get big importance at last years, many …

Let R be a commutative ring with identity and M be a unitary R-module. Let ϕ: S (M)→ S
(M)∪{∅} be a function, where S (M) is the set of submodules of M. Suppose n≥ 2 is a …

Let be a commutative ring with identity and a fixed ideal of and be an unitary-module. We
say that a proper submodule of is-semi prime submodule if with. In this paper, we investigate …

A note on finite union of primary submodules Page 1 EURASIAN BULLETIN OF
MATHEMATICS EBM (2019), VOL. 2, NO. 1, 32-35 A note on finite union of primary …

This paper presents two generalizations, one of prime submodules called S (N)− locally
prime submodules and the other of weakly prime submodules called S (N)− weakly prime …

Abstract" In this article," we introduce the concept of a WE-Prime submodule", as a stronger
form of a weakly prime submodule. And as a" generalization of WE-Prime submodule, we …