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Groups, Rings and Group Rings
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.
Rings and Things and a Fine Array of Twentieth Century Associative Algebra
Surveys over 125 years of associative algebras, focusing on ring and module theory. Topics of discussion in part one include categorical properties from theorems of Frobenius and Stickelberger on the primary decomposition of finite Abelian groups; Hilbert's basis theorem and his Nullstellensatz; the modern formulations of Hillbert's theorem by Krull and Goldman; Maschke's theorem on the representation theory of finite groups over a field; the fundamental theorems of Wedderburn on the structure of finite dimensional algebras and finite skew fields; and their extensions by Braver, Kaplansky, Chevally, and Goldie. Also included is a study of rings with chain condition on annihilator ideals pioneered by Noether, Artin, and Jacobson and refined and extended by many later mathematicians. Part two contains Faith's (professor emeritus, Rutgers U.) impressions of some mathematical friends and places from the last half of the 20th century. Annotation copyrighted by Book News, Inc., Portland, OR.
Trends in Ring Theory
The Ring Theory Conference, held a the University of Miskolc, Hungary, successfully accomplished its two goals: to reflect contemporary trends in the subject area; and to offer a meeting place for a large number of Eastern European algebraists and their colleagues from around the world. Particular emphasis was placed on recent developments in the following four areas: representation theory, group algebras, PI algebras and general ring theory. This book presents 13 of the invited lectures.
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