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Selected Works of A.I. Shirshov (Contemporary Mathematicians)
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Binding: Hardcover, 1 edition, 242 pages
Publisher: Birkhäuser Basel
List Price: USD $199.00
Weight: 159
Dimension: H: 0.75 x L: 10 x W: 0.52 inches
ISBN 10: 3764388579
ISBN 13: 9783764388577
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Book 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 Gr bner 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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