Add to ORKGAbstract: In this paper we study on commutative rings with identity and all modules are unital left -modules unless otherwise stated. We define the concept of small submodules for localization modules and additionally, we present the relation between an -module and an -localization module for all maximal ideals of in view of being supplemented
Ore localization of rings and modules is a technique that is widely used throughout non-commutative ...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
Zöschinger studied modules whose radicals have supplements and called these modules radical suppleme...
Let R be a ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call...
This paper discuses localization, one of the most important concepts in commutative algebra. A proce...
Abstract. Let R be a commutative ring with identity and M be a unital R-module. Then M is called a m...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
International audienceIt is proved that localizations of injective $R$-modules of finite Goldie dime...
Let R be an associative (not necessarily commutative) ring with unit. The study of flat left R-modul...
The purpose of this thesis is to develop the machinery of noncommutative localization as it is being...
Let R be a commutative ring with nonzero identity, S⊆R be a multiplicatively closed subset of R, and...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
Let R be a left Noetherian ring with identity. (All modules considered are unital left modules.) The...
The primary objective of this thesis is to present a unified account of the various generalizations ...
AbstractThis paper examines localization for a collection L of minimal prime ideals of a right noeth...
Ore localization of rings and modules is a technique that is widely used throughout non-commutative ...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
Zöschinger studied modules whose radicals have supplements and called these modules radical suppleme...
Let R be a ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call...
This paper discuses localization, one of the most important concepts in commutative algebra. A proce...
Abstract. Let R be a commutative ring with identity and M be a unital R-module. Then M is called a m...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
International audienceIt is proved that localizations of injective $R$-modules of finite Goldie dime...
Let R be an associative (not necessarily commutative) ring with unit. The study of flat left R-modul...
The purpose of this thesis is to develop the machinery of noncommutative localization as it is being...
Let R be a commutative ring with nonzero identity, S⊆R be a multiplicatively closed subset of R, and...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
Let R be a left Noetherian ring with identity. (All modules considered are unital left modules.) The...
The primary objective of this thesis is to present a unified account of the various generalizations ...
AbstractThis paper examines localization for a collection L of minimal prime ideals of a right noeth...
Ore localization of rings and modules is a technique that is widely used throughout non-commutative ...
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ide...
Zöschinger studied modules whose radicals have supplements and called these modules radical suppleme...