Based on the concept of row-minimal representation matrices of a module we present a new criteria for indecomposability of a finitely generated module over a local ring. Moreover we get a finite algorithm using only standard base and syzygy computation to determine a direct sum decomposition of a decomposable module. (orig.)Available from TIB Hannover: RR 7760(1997,2) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
This paper is a continuation of a joint paper with B. Martin [MS] dealing with the problem of direct...
AbstractWe consider a category whose objects consist of a module together with a finite family of su...
AbstractWe characterize rings over which every projective module is a direct sum of finitely generat...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
A module over a semiring lacks zero sums (LZS) if it has the property that v +w = 0 implies v = 0 an...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
An open problem from the list of Eisenbud, cf. [DE] p. 367, connected with Groebner bases algorithm ...
Our first purpose is to give a sufficient condition for modules over rings tobe expressed as a sum o...
Introduction. This note investigates modules containing an essential direct sum of uniform submodule...
AbstractLet Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We...
AbstractIn this paper we give explicit necessary and sufficient conditions for an infinite direct su...
Abstract. Let R be a (possibly noncommutative) ring and let C be a class of finitely generated (righ...
This research aims to give the decompositions of a finitely generated module over some special ring,...
This paper is a continuation of a joint paper with B. Martin [MS] dealing with the problem of direct...
AbstractWe consider a category whose objects consist of a module together with a finite family of su...
AbstractWe characterize rings over which every projective module is a direct sum of finitely generat...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
A module over a semiring lacks zero sums (LZS) if it has the property that v +w = 0 implies v = 0 an...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
An open problem from the list of Eisenbud, cf. [DE] p. 367, connected with Groebner bases algorithm ...
Our first purpose is to give a sufficient condition for modules over rings tobe expressed as a sum o...
Introduction. This note investigates modules containing an essential direct sum of uniform submodule...
AbstractLet Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We...
AbstractIn this paper we give explicit necessary and sufficient conditions for an infinite direct su...
Abstract. Let R be a (possibly noncommutative) ring and let C be a class of finitely generated (righ...
This research aims to give the decompositions of a finitely generated module over some special ring,...
This paper is a continuation of a joint paper with B. Martin [MS] dealing with the problem of direct...
AbstractWe consider a category whose objects consist of a module together with a finite family of su...
AbstractWe characterize rings over which every projective module is a direct sum of finitely generat...
Add to ORKG