Add to ORKGThe concepts of prime ideals and prime modules were introduced over noncommutative rings. In this article we generalize these concepts and introduce the concepts of primary ideals and primary modules over noncommutative rings. Also we give equivalent definitions of primary ideals over noncommutative rings. Finally, we study some properties of primary submodules over noncommutative rings
In this paper, we study the concept of weakly primary subtractive ideals over arbitrary semirings. W...
Abstract. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and ...
AbstractThis article introduces and advances the basic theory of “uniformly primary ideals” for comm...
Abstract. Primary-like and weakly primary-like submodules are two new generalizations of primary ide...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
Let $ \phi:{\mathcal{S}}(M) \rightarrow {\mathcal{S}}(M) \cup \{\emptyset\} $ be a function where $ ...
Abstract: Let be a positive integer. The structure of rings all of whose ideals are n-primary for so...
AbstractAttached primes and secondary representations were introduced in 1973 by Macdonald [I.G. Mac...
In this work we will develop a study in the area of Commutative Algebra, which essentially deals wi...
Abstract. The present paper introduces and studies some new types of rings and ideals such as genera...
We introduce primary ideals and prove the Lasker-Noether theorem, namely that in a noetherian ring a...
Let R be an associative ring with nonzero identity and let M be a unitary left R−module. In this pap...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
This thesis is a study of some properties of prime ideals in commutative rings with unity
In modul theory, we define prime submodules which motivated by the definition of prime ideals in a r...
In this paper, we study the concept of weakly primary subtractive ideals over arbitrary semirings. W...
Abstract. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and ...
AbstractThis article introduces and advances the basic theory of “uniformly primary ideals” for comm...
Abstract. Primary-like and weakly primary-like submodules are two new generalizations of primary ide...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
Let $ \phi:{\mathcal{S}}(M) \rightarrow {\mathcal{S}}(M) \cup \{\emptyset\} $ be a function where $ ...
Abstract: Let be a positive integer. The structure of rings all of whose ideals are n-primary for so...
AbstractAttached primes and secondary representations were introduced in 1973 by Macdonald [I.G. Mac...
In this work we will develop a study in the area of Commutative Algebra, which essentially deals wi...
Abstract. The present paper introduces and studies some new types of rings and ideals such as genera...
We introduce primary ideals and prove the Lasker-Noether theorem, namely that in a noetherian ring a...
Let R be an associative ring with nonzero identity and let M be a unitary left R−module. In this pap...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
This thesis is a study of some properties of prime ideals in commutative rings with unity
In modul theory, we define prime submodules which motivated by the definition of prime ideals in a r...
In this paper, we study the concept of weakly primary subtractive ideals over arbitrary semirings. W...
Abstract. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and ...
AbstractThis article introduces and advances the basic theory of “uniformly primary ideals” for comm...