Computational Aspects of Polynomial Identities

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Mathematics - Algebra
Computational Aspects of Polynomial...

Computational Aspects of Polynomial Identities

Name: Computational Aspects of Polynomial Identities
ISBN: 9781568816234

Alexei Kanel-Belov, Louis Halle Rowen

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Main subject categories: • Polynomial Identity Theory [PI-Theory] • Affine PI-Algebras • Specht's Conjecture

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.

Категории:

Mathematics - Algebra

Том:

Година:

2018

Издание:

1, 1st published 2005

Издателство:

A K Peters, CRC Press, Taylor & Francis Group

Език:

english

Страници: