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.
General
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