[Download] "Selected Works of A.I. Shirshov" by Leonid A. Bokut, Victor Latyshev, Ivan Shestakov & Efim Zelmanov ~ eBook PDF Kindle ePub Free

May 31, 2021 Post a Comment

eBook details

Title: Selected Works of A.I. Shirshov
Author : Leonid A. Bokut, Victor Latyshev, Ivan Shestakov & Efim Zelmanov
Release Date : January 09, 2009
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 6311 KB

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.