Articoli correlati a Classical Artinian Rings and Related Topics

Classical Artinian Rings and Related Topics - Rilegato

Baba, Yoshitomo; Oshiro, Kiyoichi

 
9789814287241: Classical Artinian Rings and Related Topics
Rilegato
ISBN 10: 9814287245 ISBN 13: 9789814287241
Casa editrice: World Scientific Pub Co Inc, 2009

Sinossi

Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate ring theorists with their abundance of properties and structural depth. In 1978, M Harada introduced a new class of artinian rings which were later called Harada rings in his honour. Quasi-Frobenius rings, Nakayama rings and Harada rings are very closely interrelated. As a result, from a new perspective, we may study the classical artinian rings through their interaction and overlap with Harada rings. The objective of this seminal work is to present the structure of Harada rings and provide important applications of this structure to the classical artinian rings. In the process, we cover many topics on artinian rings, using a wide variety of concepts from the theory of rings and modules. In particular, we consider the following topics, all of which are currently of much interest and ongoing research: Nakayama permutations, Nakayama automorphisms, Fuller's theorem on i-pairs, artinian rings with self-duality, skew-matrix rings, the classification of Nakayama rings, Nakayama group algebras, the Faith conjecture, constructions of local quasi-Frobenius rings, lifting modules, and extending modules. In our presentation of these topics, the reader will be able to retrace the history of artinian rings.

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Recensione

The techniques used are many and varied, with much from previous work of the two authors. They have done a fine job of bringing the material together. --Mathematical Reviews

Product Description

Book by Yoshitomo Baba Kiyoichi Oshiro

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Editore
World Scientific Pub Co Inc
Data di pubblicazione
2009
Lingua
Inglese
ISBN 10 
9814287245
ISBN 13 
9789814287241
Rilegatura
Copertina rigida
Numero di pagine
300
Contatto del produttore
non disponibile
Persona responsabile
gpsr@libri.de
gpsr@libri.de

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