本が出ました





World Scientific から本が出ました。山口大学名誉教授の 大城 紀代市 先生 との共著で、タイトルは

CLASSICAL ARTINIAN RINGS AND RELATED TOPICS

です。この本では、原田環の構造研究を通しての、中山環等の古典的アルティン環の再発見について述べています。

以下は、World Scientific のウェブページ　http://www.worldscibooks.com/mathematics/7451.html　から抜き出した本の詳細です。

CLASSICAL ARTINIAN RINGS AND RELATED TOPICS
by Yoshitomo Baba (Osaka Kyoiku University, Japan) & Kiyoichi Oshiro (Yamaguchi University, Japan)
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.

Contents:
　A Theorem of Fuller
　Harada Rings
　The Structure Theory of Left Harada Rings
　Self-Duality of Left Harada Rings
　Skew Matrix Rings
　The Structure of Nakayama Rings
　Modules over Nakayama Rings
　Nakayama Algebras
　Local QF-rings
　Readership: Researchers in algebra.

312pp Pub. date: Sep 2009
ISBN: 978-981-4287-24-1
981-4287-24-5 US$85

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