Computational Aspects of Polynomial Identities: 9 (Research Notes in Mathematics) - Image 1

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CRC Press Computational Aspects of Polynomial Identities: 9 (Research Notes in Mathematics)

Name: Computational Aspects of Polynomial Identities: 9 (Research Notes in Mathematics)
Brand: CRC Press
Price: 82.9 GBP
Availability: InStock

Algebra

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Description

A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation. The authors also cover codimension theory, starting with Regev's theorem and continuing through the Giambruno-Zaicev exponential rank. The "best" proofs of classical results, such as the existence of central polynomials, the tensor product theorem, the nilpotence of the radical of an affine PI-algebra, Shirshov's theorem, and characterization of group algebras with PI, are presented. Review " ""The present book is written by two of the leading experts in the thoery of PI-algebras and fills a serious gap... It not only contains a comprehensive study of the main research done in polynomial identitites over the last 25 years. Its purpose is also to make more transparent important and difficult topics. I believe that the algebraic community will find the book interesting and useful. The text is suitable both for beginners and experts. The book (or parts of it) may serve as a graduate course on PI-algebras and on combinatorial ring theory. It can be used as a good source of references."" -Vesselin Drensky, Mathematiacl Reviews 2006b, February 2006 ""As a summary, the book contains a wealth of contemporary material about polynomial identities in associative algebras. It can be recommended to an advanced reader with substantial experience in the theory of PI-algebras."" -CMS Reviews, November 2006 ""All topics of the monograph are well-arranged and developed in a clear way... suitable not only as a useful reference for researchers but also as part of a course on PI-algebras for graduate students."" -EMS, December 2006 ""This book, written by masters in this area, beautifully describe [approaches to polynomial identities], partly following the historic development of some famous problems."" -Internationale Mathematische Nachrichten, August 2008" About the Author Kanel-Belov, Alexei; Rowen, Louis Halle

Product Specifications

Brand: CRC Press
Format: Hardcover
ASIN: 1568811632
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 22 February 2005
Listed Since: 20 October 2006

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CRC Press Computational Aspects of Polynomial Identities: 9 (Research Notes in Mathematics)

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