Algebras, Rings and Modules

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Volume 2, Mathematics and Its Applications 586

ISBN: 9048172926
ISBN 13: 9789048172924
Autor: Hazewinkel, Michiel/Gubareni, Nadiya/Kirichenko, V V
Verlag: Springer Verlag GmbH
Umfang: xii, 400 S.
Erscheinungsdatum: 30.11.2010
Auflage: 1/2007
Produktform: Kartoniert
Einband: KT

Contains almost all of the most important results in the theory of representations of posets, quivers and their applications to the representations of finite groups and finite dimensional algebras, most of them are given with full proofIncludes the most important results in the theory of quasi-Frobenius and right serial ringsIn particular, gives the algorithm of the construction of a finite Frobenius ring by means of a finite partially ordered set and it is provides the proof of the Cartan Determinant Conjecture for right serial Artinian ringsGives the full description of semiprime Noetherian semiperfect and semidistributive rings. In particular, with any finite poset it may be associated a prime Noetherian semiperfect and semidistributive ring with nonzero Jacobson radical and a finite ergodic Markov chainGives the description of semiprime Noetherian semiperfect and semidistributive rings of injective dimension at most oneUses the technique of quivers to study of special classes of rings such as quasi-Frobenius rings and right serial ringsDiscusses the properties of global dimension of different classes of rings

Artikelnummer: 1565524 Kategorie:

Beschreibung

InhaltsangabeGroups and group representations.- Quivers and their representations.- Representations of posets and of finite dimensional algebras.- Frobenius algebras and quasi-Frobenius rings.- Right serial rings.- Tiled orders over discrete valuation rings.- Gorenstein matrices.

Inhaltsverzeichnis

Preface.- Groups and group representations.- Quivers and their representations.- Representations of posets and finite dimensional algebras.- Frobenius algebras and quasi-Frobenius rings.- Right serial rings.- Tiled orders over discrete valuation rings.- Gorenstein matrices.- Suggestions for further reading.- Index.- Name Index.

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