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Contemporary Ring Theory 2011 Proceedings of the Sixth ChinaJapanKorea International Conference on Ring Theory,Used
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The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semisimple rings; the study of radical rings; and the construction of rings with given radical and semisimple factor rings. Recently, this has extended to many new parts: The zerodivisor theory, containing the study of coefficients of zerodividing polynomials and the study of annihilators over noncommutative rings, that is related to the Kthe's conjecture; the study of nil rings and Jacobson rings; the study of applying ringtheoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences.This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth ChinaJapanKorea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory.
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