Rings, Modules, and the Total

Adolf Mader

ISBN 10: 3764371250 / ISBN 13: 9783764371258

Edité par Birkhäuser Basel, Springer Basel Jun 2004, 2004

A propos de cet article

Neuware -In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of 'partially invertible homomorphisms¿, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The 'total¿ consists of all elements that are not partially invertible. The total contains the radical and the singular and cosingular submodules, but while the total is closed under right and left multiplication, it may not be closed under addition. Cases are discussed where the total is additively closed. The total is particularly suited to deal with the endomorphism ring of the direct sum of modules that all have local endomorphism rings and is applied in this case. Further applications are given for torsion-free Abelian groups.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 152 pp. Englisch. N° de réf. du vendeur 9783764371258

Détails bibliographiques

Titre : Rings, Modules, and the Total

Éditeur : Birkhäuser Basel, Springer Basel Jun 2004

Date d'édition : 2004

Reliure : Taschenbuch

Etat : Neu

A propos de ce titre

Synopsis :

Accessible to anyone with a basic knowledge of ring and module theory

A short introduction to torsion-free Abelian groups is included