http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Computational aspects of polynomial identities
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.
chapter 1 Basic Results -- chapter 2 Affine Pl-algebras -- chapter 3 T-ldeals and Relatively Free Algebras -- chapter 4 Specht's Problem in the Affine Case -- chapter 5 Representations of Sn and Their Applications -- chapter 6 Superidentities and Kemer's Main Theorem -- chapter 7 Pl-Algebras in Characteristic p -- chapter 8 Recent Structural Results -- chapter 9 Poincare-Hilbert Series and Gelfand-Kirillov Dimension -- chapter 10 More Representation Theory -- chapter 11 Unified Theory of Identities -- chapter 12 Trace Identities -- chapter 13 Exercises -- chapter 14 Lists of Theorems and Examples -- chapter 15 Some Open Questions.
by Alexei Kanel-Belov and Louis Halle Rowen.