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Computational Aspects of Polynomial Identities (Hardcover, New)
Loot Price: R5,425
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Computational Aspects of Polynomial Identities (Hardcover, New)
Expected to ship within 12 - 17 working days
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Some of the important advances in Polynomial Identity (PI) theory
in the last twenty years have remained accessible only to experts,
limiting the exposure of advanced aspects of PI-theory to the
general mathematical community. This book's main objective is to
describe these breakthroughs in full, starting with Shirshov's
theorem, discussing Kemer's solution of Specht's conjecture in
characteristic zero, and completing with a proof of the theorem.
The authors detail the theory needed for this proof in the early
chapters of the book. Later chapters discuss related topics such as
counterexamples to Specht's conjecture in characteristic p,
Noetherian PI-algebras, Poincare-Hilbert series, Gelfand-Kirillov
dimension, the combinatoric theory of affine PI-algebras, the
ideals of identities, multilinear identities in terms of
representation theory, and trace identities.
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