Archivum Mathematicum Page 1 Archivum Mathematicum Siamak Yassemi The dual notion
of prime submodules Archivum Mathematicum, Vol. 37 (2001), No. 4, 273--278 Persistent …

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 …

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] …

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 …

There are various approaches to transfer the prime ideal notion to prime submodule. The
definition of primeness in modules have appeared in many ways. In this paper we define …

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 with identity and M be a unitary R-module. The notions of
associated and supported PRIME SUBMODULE s of a module are defined. Our aim is to …

A proper submodule P of a module M over a ring R is said to be prime if re EP for r ER and
e• M implies that either e• P or r• P: R M. In this paper we investigate the œoIIowing two …

We introduce the concept of almost semiprime submodules of unitary modules over a
commutative ring with nonzero identity. We investigate some basic properties of almost …

We investigate some properties of n-submodules. More precisely, we find a necessary and
sufficient condition for every proper submodule of a module to be an n-submodule. Also, we …