summary:We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investigate the primary decomposition of any submodule into primary submodules of $R\times R.
Let R be a commutative ring with identity and M be a unitary R- module. We shall say that M is a pri...
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 ...
summary:We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investi...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
summary:In this paper the concept of the second submodule (the dual notion of prime submodule) is in...
summary:In this paper the concept of the second submodule (the dual notion of prime submodule) is in...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
summary:In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed sub...
summary:In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed sub...
For a submodule $N$ of an $R$-module $M$, a unique product of prime ideals in $R$ is assigned, which...
A torsion module over a principal ideal domain has special properties related to the way how it is d...
Let $R$ be a commutative ring with identity, and $n\geq 1$ an integer. A proper submodule $N$ o...
Let R be a commutative ring with identity and M be a unitary R- module. We shall say that M is a pri...
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 ...
summary:We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investi...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
summary:In this paper the concept of the second submodule (the dual notion of prime submodule) is in...
summary:In this paper the concept of the second submodule (the dual notion of prime submodule) is in...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
summary:In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed sub...
summary:In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed sub...
For a submodule $N$ of an $R$-module $M$, a unique product of prime ideals in $R$ is assigned, which...
A torsion module over a principal ideal domain has special properties related to the way how it is d...
Let $R$ be a commutative ring with identity, and $n\geq 1$ an integer. A proper submodule $N$ o...
Let R be a commutative ring with identity and M be a unitary R- module. We shall say that M is a pri...
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 ...