Add to ORKG(Communicated by Shokrollah Salarian) Abstract. Let N be a submodule of a module M and a mini-mal primary decomposition of N is known. A formula to compute Baer's lower nilradical of N is given. The relations between classi-cal prime submodules and their nilradicals are investigated. Some situations in which semiprime submodules can be written as nite intersection of classical prime submodule are stated
Given and be commutative ring with unity. The (, )-bimodule structure has beengeneralized into the...
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is ...
Copyright c © 2013 Adil Kadir Jabbar. This is an open access article distributed under the Creative ...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
Abstract. Let M be a fixed left R-module. For a left R-module X, we introduce the notion of M-prime ...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
In modul theory, we define prime submodules which motivated by the definition of prime ideals in a r...
Let R be a commutative ring with identity and let M be a unitary R-module. Let S(M) be the set of al...
Let R be a commutative ring with identity and let M be a unitary R-module. Let S(M) be the set of al...
Abstract. Primary-like and weakly primary-like submodules are two new generalizations of primary ide...
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is ...
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:We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investi...
summary:We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investi...
Given and be commutative ring with unity. The (, )-bimodule structure has beengeneralized into the...
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is ...
Copyright c © 2013 Adil Kadir Jabbar. This is an open access article distributed under the Creative ...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
Abstract. Let M be a fixed left R-module. For a left R-module X, we introduce the notion of M-prime ...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
In modul theory, we define prime submodules which motivated by the definition of prime ideals in a r...
Let R be a commutative ring with identity and let M be a unitary R-module. Let S(M) be the set of al...
Let R be a commutative ring with identity and let M be a unitary R-module. Let S(M) be the set of al...
Abstract. Primary-like and weakly primary-like submodules are two new generalizations of primary ide...
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is ...
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:We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investi...
summary:We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investi...
Given and be commutative ring with unity. The (, )-bimodule structure has beengeneralized into the...
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is ...
Copyright c © 2013 Adil Kadir Jabbar. This is an open access article distributed under the Creative ...