Methods in ring theory : proceedings of the Trento conference

書誌事項

Methods in ring theory : proceedings of the Trento conference

edited by Vesselin S. Drensky, Antonio Giambruno, Sudarshan Sehgal

(Lecture notes in pure and applied mathematics, v. 198)

M. Dekker, c1998

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内容説明・目次

内容説明

"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."

目次

  • Identities of algebras with actions of Hopf algebras
  • consequences of degree n+2 of the standard polynomial of degree n
  • generators of the units of the modular group algebra of a finite p-group
  • Young derivation of the trace cocharacters of the 2x2 matrices
  • torsion subgroups of units in Artinian rings
  • polynomial ideals and identities of matrices
  • Gefand-Kirillov dimension of PI-algebras
  • PI-algebras and codimension growth
  • unit bases in small cyclic group rings
  • units in integral group rings - a survey
  • on the multilinear components of the regular prime varieties
  • units in group rings and geometry
  • the semiprimitivity of group algebra
  • scale for codimension growth of Lie algebras
  • the Hopf shuffle algebra and Lie series
  • graded identities and cocharacters of products of T-ideals
  • deformations of represenations
  • the Engel condition, semigroup identities and collapsibility in associative rings
  • idempotent ideals in Lie nilpotent rings
  • units and group identities in rings
  • varieties and identities of affine Kac-Moody algebras.

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