ENGLISH

Selected works of A.I. Shirshov

By Ivan Shestakov , Leonid A. Bokut , Victor Latyshev , Efim Zelmanov , Murray Bremner , Mikhail V. Kotchetov

Book information

Publisher
Birkhäuser
Year
2009
ISBN
9783764388577, 3764388579
Open Library ID
OL25030127M
Language
english
Format
PDF
Filesize
1 MB (1318725 bytes)
Series
Contemporary Mathematicians
Pages
234\234
Topic
Mathematics Algebra
Library
Kolxo3
Time added
2010-07-29 05:14:56

Description

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.

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