We investigate prime submodules of regular modules. In particular, we shall see that every
proper submodule of a regular module M over an integral domain is prime. Although (von …

Let be a commutative ring with an identity and be a unitary-module. We say that a non-zero
submodule of is primary if for each with en either or√ and an-module is a small primary …

Let R be a commutative ring with unity. M an R-Module. M is called coprime module (dual
notion of prime module) if ann M= ann M/N for every proper submodule N of M In this paper …

Let R be a commutative ring with unity. M an R-Module. M is called coprime module (dual
notion of prime module) if ann M= ann M/N for every proper submodule N of M In this paper …

We introduce in this paper, the notion of a 2-quasì-prime module as a generalization of
quasi-prime module, we know that a module E over a ring R is called quasi-prime module, if …

In this paper, we introduce the notion of a 2-prime module as a generalization of prime
module E over a ring R, where E is said to be prime module if (0) is a prime submodule. We …

It is known that every semiprime ring is a subdirect sum of prime rings. This is a
consequence of the fact that every semiprime ideal is an intersection of prime ideals. We aim …

Let R be a commutative ring with unity. And let E be a unitary R-module. This paper
introduces the notion of 2-prime submodules as a generalized concept of 2-prime ideal …

Distinguished prime submodules of a module over a commutative ring with non-zero identity
have been investigated in [1]. Here we study generalized distinguished prime submodules …

In this paper, we study the primal submodules of a module over a commutative ring with non-
zero identity. We generalize the primal decomposition of ideals (see [2]) to that of …