Computational Aspects Of Polynomial Identities


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Computational Aspects of Polynomial Identities


Computational Aspects of Polynomial Identities

Author: Alexei Kanel-Belov

language: en

Publisher: CRC Press

Release Date: 2015-10-22


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Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. This edition gives all the details involved in Kemer's proof of Specht's conjecture for affine PI-algebras in characteristic 0.The

Computational Aspects of Polynomial Identities


Computational Aspects of Polynomial Identities

Author: Alexei Kanel-Belov

language: en

Publisher: CRC Press

Release Date: 2005-02-22


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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. T

Polynomial Identities in Algebras


Polynomial Identities in Algebras

Author: Onofrio Mario Di Vincenzo

language: en

Publisher: Springer Nature

Release Date: 2021-03-22


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This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.