AbstractIn this paper we give explicit necessary and sufficient conditions for an infinite direct sum of modules with local endomorphism rings to be a CS-module. As consequences, we obtain new characterizations of ∑-CS modules and ∑-CS rings which cover several earlier known results on this topic
Let R be a ring, M a left R-module, I an infinite set, N either the direct sum or product of |I| cop...
AbstractA module M is said to satisfy the condition (℘∗) if M is a direct sum of a projective module...
It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnect...
AbstractIt is proved that if M is a uniform module such that M(ℵ1) is CS, then its endomorphism ring...
The main focus of this monograph is to offer a comprehensive presentation of known and new results o...
Paperback edition in the series Modern Birkhäuser Classics of the original book published in 1998
Based on the concept of row-minimal representation matrices of a module we present a new criteria fo...
Botnan MB, Crawley-Boevey WW. DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATH...
We give some new properties of almost injective modules and their endomorphism rings, and also provi...
AbstractIf C is any class of modules over a general ring R such that C is closed under direct sums, ...
According to the classical Krull–Schmidt Theorem, any module of finite composition length decomposes...
Our first purpose is to give a sufficient condition for modules over rings tobe expressed as a sum o...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
This expository monograph was written for three reasons. Firstly, we wanted to present the solution ...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
Let R be a ring, M a left R-module, I an infinite set, N either the direct sum or product of |I| cop...
AbstractA module M is said to satisfy the condition (℘∗) if M is a direct sum of a projective module...
It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnect...
AbstractIt is proved that if M is a uniform module such that M(ℵ1) is CS, then its endomorphism ring...
The main focus of this monograph is to offer a comprehensive presentation of known and new results o...
Paperback edition in the series Modern Birkhäuser Classics of the original book published in 1998
Based on the concept of row-minimal representation matrices of a module we present a new criteria fo...
Botnan MB, Crawley-Boevey WW. DECOMPOSITION OF PERSISTENCE MODULES. PROCEEDINGS OF THE AMERICAN MATH...
We give some new properties of almost injective modules and their endomorphism rings, and also provi...
AbstractIf C is any class of modules over a general ring R such that C is closed under direct sums, ...
According to the classical Krull–Schmidt Theorem, any module of finite composition length decomposes...
Our first purpose is to give a sufficient condition for modules over rings tobe expressed as a sum o...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
This expository monograph was written for three reasons. Firstly, we wanted to present the solution ...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
Let R be a ring, M a left R-module, I an infinite set, N either the direct sum or product of |I| cop...
AbstractA module M is said to satisfy the condition (℘∗) if M is a direct sum of a projective module...
It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnect...
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