Artinian Modules over Group Rings (Frontiers in Mathematics) - Couverture souple

Livre 6 sur 48: Frontiers in Mathematics

Kurdachenko, Leonid A.

 
9783764377649: Artinian Modules over Group Rings (Frontiers in Mathematics)
Couverture souple
ISBN 10 : 376437764X ISBN 13 : 9783764377649
Editeur : Birkhäuser Basel, 2006

Synopsis

This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of semisimplicity of artinian modules, it also focuses on recent advanced results on these matters. The theory of modules over groups has its own specific character that plays an imperative role here and, for example, allows a significant generalization of the classical Maschke Theorem on some classes of infinite groups. Conversely, it leads to establishing direct decompositions of artinian modules related to important natural formations, which, in turn, find very efficient applications in infinite groups. As self-contained as possible, this book will be useful for students as well as for experts in group theory, ring theory, and module theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of semisimplicity of artinian modules, it also focuses on recent advanced results on these matters. The theory of modules over groups has its own specific character that plays an imperative role here and, for example, allows a significant generalization of the classical Maschke Theorem on some classes of infinite groups. Conversely, it leads to establishing direct decompositions of artinian modules related to important natural formations, which, in turn, find very efficient applications in infinite groups. As self-contained as possible, this book will be useful for students as well as for experts in group theory, ring theory, and module theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser Basel
Date d'édition
2006
Langue
anglais
ISBN 10 
376437764X
ISBN 13 
9783764377649
Reliure
Broché
Nombre de pages
264
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9783764391522: Artinian Modules over Group Rings

Edition présentée

ISBN 10 :  3764391529 ISBN 13 :  9783764391522
Editeur : Springer, 2008
Couverture souple