Add to ORKGDedicated to O.A.S. Karamzadeh on the occasion of his 65th birthday Abstract. We introduce and study the notion of “classical prime dimension ” of modules as a new generalization of the notion of “classical Krull dimension ” of commutative rings to modules over arbitrary rings. 1
This thesis concerns the interplay between the structures of modules and those of their overlying ri...
This thesis concerns the interplay between the structures of modules and those of their overlying ri...
AbstractLet R be a ring with identity. Let C be a class of R-modules which is closed under submodule...
AbstractIn this article, we introduce and study a generalization of the classical Krull dimension fo...
Maryam Molakarimi In ring theory, it is shown that a commutative ring R with Krull dimension has cla...
1 Introduction We analyse the notion of Krull dimension of a commutative ring and of a distributive...
In this paper we look at the properties of modules and prime ideals in finite dimensional noetherian...
Let $R$ be a commutative ring with identity, and $n\geq 1$ an integer. A proper submodule $N$ o...
In modul theory, we define prime submodules which motivated by the definition of prime ideals in a r...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
Let R, T be two commutative rings and ϕ: R − → T be a ring homomorphism. In this paper we are concer...
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of ...
Let R and S be rings and let M be a left S-, right R-bimodule such that M has Krull dimension both a...
AbstractLet R and S be rings and let M be a left S-, right R-bimodule such that M has Krull dimensio...
AbstractWe describe classes of prime ideals in ultraproducts of commutative rings. We consider in pa...
This thesis concerns the interplay between the structures of modules and those of their overlying ri...
This thesis concerns the interplay between the structures of modules and those of their overlying ri...
AbstractLet R be a ring with identity. Let C be a class of R-modules which is closed under submodule...
AbstractIn this article, we introduce and study a generalization of the classical Krull dimension fo...
Maryam Molakarimi In ring theory, it is shown that a commutative ring R with Krull dimension has cla...
1 Introduction We analyse the notion of Krull dimension of a commutative ring and of a distributive...
In this paper we look at the properties of modules and prime ideals in finite dimensional noetherian...
Let $R$ be a commutative ring with identity, and $n\geq 1$ an integer. A proper submodule $N$ o...
In modul theory, we define prime submodules which motivated by the definition of prime ideals in a r...
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodu...
Let R, T be two commutative rings and ϕ: R − → T be a ring homomorphism. In this paper we are concer...
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of ...
Let R and S be rings and let M be a left S-, right R-bimodule such that M has Krull dimension both a...
AbstractLet R and S be rings and let M be a left S-, right R-bimodule such that M has Krull dimensio...
AbstractWe describe classes of prime ideals in ultraproducts of commutative rings. We consider in pa...
This thesis concerns the interplay between the structures of modules and those of their overlying ri...
This thesis concerns the interplay between the structures of modules and those of their overlying ri...
AbstractLet R be a ring with identity. Let C be a class of R-modules which is closed under submodule...