Computational Aspects of Polynomial Identities
Book Details
Format
Hardback or Cased Book
ISBN-10
1568811632
ISBN-13
9781568811635
Publisher
Taylor & Francis Inc
Imprint
A K Peters
Country of Manufacture
US
Country of Publication
GB
Publication Date
Feb 22nd, 2005
Print length
400 Pages
Weight
650 grams
Dimensions
16.10 x 23.50 x 2.60 cms
Product Classification:
Algebra
Ksh 34,200.00
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This book introduces polynomial identity (PI)-algebras and reviews some well-known results and techniques, most of which are associated with the structure theory. It presents a full proof of Kemer's solution to 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.
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