The aim of this paper is to introduce the concept of classical weakly prime submodules which is the generalization of the notion of weakly classical prime submodules to modules over arbitrary noncommutative rings. We study some properties of classical weakly prime submodules and investigate their structure in different classes of modules. Also, the structure of such submodules of modules over duo rings is completely described. We investigate some properties of classical weakly prime submodules of multiplication modules
We introduce the dual notions of S(N)-weakly prime submodules, that is, S(0)-weakly second submodule...
We introduce the dual notions of S(N)-weakly prime submodules, that is, S(0)-weakly second submodule...
This paper presents the theory of weak primary decomposition of modules over a commutative ring. A g...
Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have ...
Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have ...
In this paper, all rings are commutative with nonzero identity. Let M be an R -module. A proper subm...
Throughout this article, all rings will be treated as communicative with non zero identity and all m...
Abstract. Primary-like and weakly primary-like submodules are two new generalizations of primary ide...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
In this paper, we study the concept of weakly primary subtractive ideals over arbitrary semirings. W...
We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital ...
Let $R$ be a commutative ring with identity and let $M$ be a unitary $R$-module. We say that a prope...
Let R be an associative ring with nonzero identity and let M be a unitary left R−module. In this pap...
Let R be a commutative ring with identity and M be an R-module. A non-zero submodule N of M is said...
Let M be an R-module. The module M is called multiplication if for anysubmodule N of M we have N = I...
We introduce the dual notions of S(N)-weakly prime submodules, that is, S(0)-weakly second submodule...
We introduce the dual notions of S(N)-weakly prime submodules, that is, S(0)-weakly second submodule...
This paper presents the theory of weak primary decomposition of modules over a commutative ring. A g...
Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have ...
Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have ...
In this paper, all rings are commutative with nonzero identity. Let M be an R -module. A proper subm...
Throughout this article, all rings will be treated as communicative with non zero identity and all m...
Abstract. Primary-like and weakly primary-like submodules are two new generalizations of primary ide...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
In this paper, we study the concept of weakly primary subtractive ideals over arbitrary semirings. W...
We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital ...
Let $R$ be a commutative ring with identity and let $M$ be a unitary $R$-module. We say that a prope...
Let R be an associative ring with nonzero identity and let M be a unitary left R−module. In this pap...
Let R be a commutative ring with identity and M be an R-module. A non-zero submodule N of M is said...
Let M be an R-module. The module M is called multiplication if for anysubmodule N of M we have N = I...
We introduce the dual notions of S(N)-weakly prime submodules, that is, S(0)-weakly second submodule...
We introduce the dual notions of S(N)-weakly prime submodules, that is, S(0)-weakly second submodule...
This paper presents the theory of weak primary decomposition of modules over a commutative ring. A g...