Add to ORKGInternational audienceIt is proved that localizations of injective $R$-modules of finite Goldie dimension are injective if $R$ is an arithmetical ring satisfying the following condition: for every maximal ideal $P$, $R_P$ is either coherent or not semicoherent. If, in addition, each finitely generated $R$-module has finite Goldie dimension, then localizations of finitely injective $R$-modules are finitely injective too. Moreover, if $R$ is a Prüfer domain of finite character, localizations of injective $R$-modules are injective
In the Thesis, we define the notion of a localization and explore its connections to properties of m...
In this paper we study some properties of GC- projective, injective and flat modules, where C is a s...
Abstract: In this paper we study on commutative rings with identity and all modules are unital left ...
International audienceIt is proved that localizations of injective $R$-modules of finite Goldie dime...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
International audienceIt is shown that a ring is left semihereditary if and only each homomorphic im...
International audienceIt is proven that each indecomposable injective module over a valuation domain...
It is shown that each almost maximal valuation ring R such that every indecomposable injective modul...
AbstractA module M is said to be weakly injective if every finitely generated submodule of its injec...
AbstractIt is shown that each almost maximal valuation ring R, such that every indecomposable inject...
Abstract. It is shown that each almost maximal valuation ring R, such that every indecomposable inje...
AbstractWe find a bound for the Goldie dimension of hereditary modules in terms of the cardinality o...
This memoir is a presentation of the works carried out by the author in ring and module theory. More...
Abstract. We prove the following result on the universal localization of a ring R at an ideal I: If ...
In this paper, we introduce and study a homological invariant of modules called P-injective dimensio...
In the Thesis, we define the notion of a localization and explore its connections to properties of m...
In this paper we study some properties of GC- projective, injective and flat modules, where C is a s...
Abstract: In this paper we study on commutative rings with identity and all modules are unital left ...
International audienceIt is proved that localizations of injective $R$-modules of finite Goldie dime...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
International audienceIt is shown that a ring is left semihereditary if and only each homomorphic im...
International audienceIt is proven that each indecomposable injective module over a valuation domain...
It is shown that each almost maximal valuation ring R such that every indecomposable injective modul...
AbstractA module M is said to be weakly injective if every finitely generated submodule of its injec...
AbstractIt is shown that each almost maximal valuation ring R, such that every indecomposable inject...
Abstract. It is shown that each almost maximal valuation ring R, such that every indecomposable inje...
AbstractWe find a bound for the Goldie dimension of hereditary modules in terms of the cardinality o...
This memoir is a presentation of the works carried out by the author in ring and module theory. More...
Abstract. We prove the following result on the universal localization of a ring R at an ideal I: If ...
In this paper, we introduce and study a homological invariant of modules called P-injective dimensio...
In the Thesis, we define the notion of a localization and explore its connections to properties of m...
In this paper we study some properties of GC- projective, injective and flat modules, where C is a s...
Abstract: In this paper we study on commutative rings with identity and all modules are unital left ...