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Computational Aspects of Polynomial Identities.
・ISBN 978-0-367-44650-5 paper GB£ 68.99
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| 著者・編者 | Kanel-Belov, Alexei / Rowen, Louis Halle, |
|---|---|
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2019 |
| ページ数 | 400 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-11683> |
解説
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.