This new proceedings is a collection of papers presenting the recent developments and research in various fields of algebra, especially Lie Algebras, Rings and their related topics undertaken in the U.S.A., Russia, North Asia and Israel. Contributors include E. Zelmanov, the 1994 Fields Medalist, L. Bokut, G nter F. Pilz, Koichiro Harada, Alexander Kemer, V.K. Kharchenko, L. Makar-Limanov and Louis H. Rowen.
|Product dimensions:||6.14(w) x 9.21(h) x 0.03(d)|
Table of Contents
Preface. A survey on polynomials and polynomial and compatible structures; E. Aichinger, G.F. Pilz. Gröbner-Shirshov bases for algebras, groups and semigroups; L. Bokut, Y. Fong, L.-S. Shiao. Sylow-2 subgroups of finite simple groups; K. Harada, Mong Lung Lang. Combinatorial representation theory and crystal bases; Seok-Jin Kang. On some problems in PI-theory in characteristic p connects with dividing by p; A. Kemer. Quantum Lie algebras and related problems; V.K. Kharchenko. Gröbner-Shirshov bases for representations of Lie algebras and Hecke algebras of type A; Kyu-Hwan Lee. The existence of a simple nil ring (after Agata Smoktunowicz); I.V. L'vov. Locally nilpotent derivations on the surface xy = p(z); L. Makar-Limanov. Division algebras; L.H. Rowen. R[x,y] is Brown-McCoy radical if R[x] is Jacobson radical; A. Smoktunowicz. Applications of dualizing complexes; Q.-S. Wu, J.J. Zhang. Idempotents in conformal algebras; E. Zelmanov.