Add to ORKGThis memoir is a presentation of the works carried out by the author in ring and module theory. More precisely the author studied arithmetical commutative rings, in particular valuation rings (which are not necessarily integral domain). The most remarkable result is the proof of the following fact: any local ring of bounded module type is an almost maximal valuation ring. Are also presented some results on the localization of injective modules and on the pure-injective hulls of some classes of modules.Ce mémoire est une présentation des travaux que l'auteur a réalisé en théorie des aneaux et des modules. Plus précisément l'auteur s'est consacré à l'étude des anneaux commutatifs arithmétiques et plus particulièrement aux anneaux de valuation...
Abstract. If R ̂ is the pure-injective hull of a valuation ring R, it is proved that R ̂ ⊗R M is the...
AbstractIf R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-...
If $\widehat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\widehat{R}\o...
This memoir is a presentation of the works carried out by the author in ring and module theory. More...
It is shown that every commutative local ring of bounded module type is an almost maximal valuation ...
It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there ...
Abstract. Let R be a local ring of bounded module type. It is shown that R is an almost maximal valu...
Abstract. It is shown that each almost maximal valuation ring R, such that every indecomposable inje...
It is shown that each almost maximal valuation ring R such that every indecomposable injective modul...
It is shown that each almost maximal valuation ring R such that every indecomposable injective modul...
AbstractIt is shown that each almost maximal valuation ring R, such that every indecomposable inject...
ABSTRACT. New classes of valuation domains R are discussed; they admit various characterizations dep...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
AbstractIt is shown that each almost maximal valuation ring R, such that every indecomposable inject...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
Abstract. If R ̂ is the pure-injective hull of a valuation ring R, it is proved that R ̂ ⊗R M is the...
AbstractIf R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-...
If $\widehat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\widehat{R}\o...
This memoir is a presentation of the works carried out by the author in ring and module theory. More...
It is shown that every commutative local ring of bounded module type is an almost maximal valuation ...
It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there ...
Abstract. Let R be a local ring of bounded module type. It is shown that R is an almost maximal valu...
Abstract. It is shown that each almost maximal valuation ring R, such that every indecomposable inje...
It is shown that each almost maximal valuation ring R such that every indecomposable injective modul...
It is shown that each almost maximal valuation ring R such that every indecomposable injective modul...
AbstractIt is shown that each almost maximal valuation ring R, such that every indecomposable inject...
ABSTRACT. New classes of valuation domains R are discussed; they admit various characterizations dep...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
AbstractIt is shown that each almost maximal valuation ring R, such that every indecomposable inject...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
Abstract. If R ̂ is the pure-injective hull of a valuation ring R, it is proved that R ̂ ⊗R M is the...
AbstractIf R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-...
If $\widehat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\widehat{R}\o...