Computational Aspects of Polynomial Identities
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A01=Alexei Kanel-Belov
A01=Louis Halle Rowen
advanced algebraic identities
Affine Algebra
Author_Alexei Kanel-Belov
Author_Louis Halle Rowen
Category=PBF
Central Polynomials
codimension growth analysis
Commutative Noetherian Ring
Cyclically Conjugate
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Codimension
Finite Dimensional
Finite Dimensional Algebras
Free Algebra
Gelfand Kirillov Dimension
GK Dimension
Group Algebra
Hilbert Series
Hopf Algebras
Jordan Algebras
Kemer's Theorem
Lie Algebras
Maximal T-ideals
Minimal Left Ideals
Multilinear Identities
Multilinear Polynomial
Nilpotence Index
noncommutative ring theory
PI algebra structure
polynomial identity research guide
Prime T-ideals
representation theory applications
Specht Module
symmetric group representations
Weyl Module
Young Diagram
Product details
- ISBN 9781568811635
- Weight: 635g
- Dimensions: 152 x 229mm
- Publication Date: 22 Feb 2005
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
Kanel-Belov, Alexei; Rowen, Louis Halle
