Lie Algebras, Rings and Related Topics

Lie Algebras, Rings and Related Topics

By: E. Zelmanov (editor), Alexander A. Mikhalev (editor), Yuen Fong (editor)Hardback

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Description

This monograph presents the recent developments and research in the various fields of algebra especially Lie algebras and rings undertaken in Russia, USA, and North Asia. Contributors include E. Zelmanov, the 1994 Field Medalist, A.A. Mikhalev, V.N. Latyshev and E.B. Vinberg.

Contents

Uniqueness of addition in lie algebra sl2 (V. Arshantsev).- Posner's theorem for generalized (sigma, tau)-derivations (K.I. Beidar, Y. Fong, W.-F. Ke, C.-H. Lee).- Free associative conformal algebras (L.A. Bokut, Y. Fong, W.-F. Ke).- (alpha, beta)-derivations with nilpotent values on lie ideals (J.-C. Chang).- The free partially commutative lie superalgebra: Elimination of variables (N.A. Dobrynin).- On determinant preservers over noncommutative principal ideal domains (A.E. Gouterman and A.V. Mikhalev).- Canonization and standard bases of filtered structures (V.N. Latyshev).- Combinatorial problems about free groups and algebras (A.A. Mikhalev, V. Shpilrain, J.-T. Yu).- Standard bases of ideals of free supercommutative polynomial algebras (epsilon-Grobner bases) (A.A. Mikhalev, E.A. Vasilieva).- Automorphic orbits in free algebras of rank two (A.A. Mikhalev, J.-T. Yu).- On the Grobner bases in ore extensions (V.A. Mushrub).- Extended centroid of skew polynomial rings and orthogonal completeness (V.A. Mushrub).- On injectivity properties for modules over a domain (V.A. Puninskaya).- Pure-injective and finite length modules over certain rings of differential polynomials (G. Puninski).- On distributively decomposable rings (A.A. Tuganbaev).- On stability of actions of reductive algebraic groups (E.B. Vinberg).- About Wiener numbers and polynomials (B.-Y. Yang, Y.-N. Yeh).- Semisimple finite dimensional Jordan superalgebras (E. Zelmanov).

Product Details

  • ISBN13: 9789624301106
  • Format: Hardback
  • Number Of Pages: 251
  • ID: 9789624301106
  • ISBN10: 9624301107

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