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Contemporary Ring Theory 2011 - Proceedings Of The Sixth China-japan-korea International Conference On Ring Theory (Hardcover)
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Contemporary Ring Theory 2011 - Proceedings Of The Sixth China-japan-korea International Conference On Ring Theory (Hardcover)
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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 semi-simple
rings; the study of radical rings; and the construction of rings
with given radical and semi-simple factor rings. Recently, this has
extended to many new parts: The zero-divisor theory, containing the
study of coefficients of zero-dividing polynomials and the study of
annihilators over noncommutative rings, that is related to the
Koethe's conjecture; the study of nil rings and Jacobson rings; the
study of applying ring-theoretic 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 China-Japan-Korea 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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