Grups with prescribed quotient groups and associated module theory / L. Kurdachenko ; J. Otla ; I. Subbotin (2002)

Public ISBD Titre : Grups with prescribed quotient groups and associated module theory Type de document : texte imprimé Auteurs : L. Kurdachenko, Auteur ; J. Otla, Auteur ; I. Subbotin, Auteur Editeur : Singapore : World Scientific Année de publication : 2002 Collection : series in algebra num. Vol. 8 Importance : XVI-227 p. Format : 24 cm ISBN/ISSN/EAN : 978-981-02-4783-6 Note générale : Bibliogr. Index Langues : Anglais (eng) Mots-clés : Group theory Modules (Algebra) Electronic books Index. décimale : 512.5 Algèbre générale Résumé : the authors of this book present wel-established results as wel as newwer, contemporary achievements inthis area from the common integral point of view. this view is based on the implementation of module theory for solving group problems. Evidently, this approach requires investigation of some specific types of modules: infinite simple modules and just infinite modules(note the every infinite noetherian module has either an infinite simple factor-module or a just infinite factor-module). this book will therefore be useful for group theorists as well as ring and module theorists. Also, the level, style, and presentation make the book easily accessible to graduate students Note de contenu : I. Simple Modules On annihilators of modules Structure of simple modules over Abelian Groups Structure of simple modules over some generalization of Abelian groups II. Just infinite modules Some results on modules over Dedekind domains Just infinite modules over FC-hypercentral groups Just infinite modules over groups of finite 0-rank III. Just non-X-groups Fitting subgroup of some just non-X-groups Just non-Abelain groups Just non-hypercentral groups and just non-hypercentral modules Grups with prescribed quotient groups and associated module theory [texte imprimé] / L. Kurdachenko, Auteur ; J. Otla, Auteur ; I. Subbotin, Auteur . - Singapore : World Scientific, 2002 . - XVI-227 p. ; 24 cm. - (series in algebra; Vol. 8) . ISBN : 978-981-02-4783-6 Bibliogr. Index Langues : Anglais (eng) Mots-clés : Group theory Modules (Algebra) Electronic books Index. décimale : 512.5 Algèbre générale Résumé : the authors of this book present wel-established results as wel as newwer, contemporary achievements inthis area from the common integral point of view. this view is based on the implementation of module theory for solving group problems. Evidently, this approach requires investigation of some specific types of modules: infinite simple modules and just infinite modules(note the every infinite noetherian module has either an infinite simple factor-module or a just infinite factor-module). this book will therefore be useful for group theorists as well as ring and module theorists. Also, the level, style, and presentation make the book easily accessible to graduate students Note de contenu : I. Simple Modules On annihilators of modules Structure of simple modules over Abelian Groups Structure of simple modules over some generalization of Abelian groups II. Just infinite modules Some results on modules over Dedekind domains Just infinite modules over FC-hypercentral groups Just infinite modules over groups of finite 0-rank III. Just non-X-groups Fitting subgroup of some just non-X-groups Just non-Abelain groups Just non-hypercentral groups and just non-hypercentral modules

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046810	512.5 KUR	Papier	Bibliothèque Centrale	Mathématiques	Disponible