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Selected Works of A.I. Shirshov
     

Selected Works of A.I. Shirshov

by Leonid A. Bokut, Murray Bremner, Victor Latyshev, Mikhail V. Kotchetov, Ivan Shestakov
 

This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921–1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His name is associated with notions and results on Gröbner-Shirshov bases, the Composition-Diamond Lemma,

Overview

This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921–1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His name is associated with notions and results on Gröbner-Shirshov bases, the Composition-Diamond Lemma, the Shirshov-Witt Theorem, the Lazard-Shirshov elimination process, Shirshov’s Height Theorem, Lyndon-Shirshov words, Hall-Shirshov bases, Shirshov’s theorem on the Kurosh problem for alternative and Jordan algebras, and Shirshov’s theorem on the speciality of Jordan algebras with two generators. Shirshov’s ideas were used by his student Efim Zelmanov for the solution of the Restricted Burnside Problem. Several famous algebraists provide in this book detailed comments on the impact of Shirshov’s work on current algebra.

Product Details

ISBN-13:
9783764388577
Publisher:
Birkhauser Basel
Publication date:
07/16/2009
Series:
Contemporary Mathematicians Series
Edition description:
2009
Pages:
242
Product dimensions:
7.01(w) x 10.00(h) x 0.03(d)

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