Add to ORKGIn this work, we study strongly prime submodules and strongly 0-dimensional modules. We give some equivalent conditions for being a strongly 0-dimensional module. Besides we show that the quasi-Zariski topology on the spectrum of a strongly 0-dimensional module satisfies all separation axioms and it is a metrizable space
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
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}...
In a multiplication module, prime submodules have the following property: if a prime submodule conta...
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of ...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
The purpose of this work is to analyse the analogue of prime modules in commutative case – strongly ...
A commutative ring R with identity is called a strongly 0-dimensional ring if whenever a prime ideal...
Let R be a commutative ring and let M be a top R-module. In this article, we investigate some proper...
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 note we compare some notions of primeness for modules existing in the literature. We charact...
In this paper, we introduce and study the concept of strongly dccr∗ modules. Strongly dccr∗ conditio...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
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}...
In a multiplication module, prime submodules have the following property: if a prime submodule conta...
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of ...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
The purpose of this work is to analyse the analogue of prime modules in commutative case – strongly ...
A commutative ring R with identity is called a strongly 0-dimensional ring if whenever a prime ideal...
Let R be a commutative ring and let M be a top R-module. In this article, we investigate some proper...
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 note we compare some notions of primeness for modules existing in the literature. We charact...
In this paper, we introduce and study the concept of strongly dccr∗ modules. Strongly dccr∗ conditio...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
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}...