Computational Aspects of Polynomial Identities

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Taylor & Francis, Feb 22, 2005 - Mathematics - 378 pages
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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.

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About the author (2005)

Charles L. Byrne earned his BA from Georgetown University and his MA and Ph.D. from the University of Pittsburgh, where he studied Mathematics. From 1979 to 1993 he was a consultant to the Acoustics Division, US Naval Research Laboratory. During that time he also served as chair of the Department of Mathematical Sciences at the University of Massachusetts, Lowell. He is currently a professor at UMass, Lowell and a consultant to the Department of Radiology, University of Massachusetts Medical School in Worcester.

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