Noncommutative Rings

A collection of the survey lectures delivered at the Microprogram on Noncommunicative Rings held at the Mathematical Sciences Research Institute, July 10-12, 1989. Primarily concerned with recent advances in ring theory, the text also focuses on related areas of mathematics where ring theory might be expected to have an impact. Topics covered include quantum groups, the algebraic aspects of quantum field theory, finite dimensional Lie algebras, and the modern theory of Noetherian rings and localization.