Benson Farb

R. Keith Dennis

Noncommutative Algebra

About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.

Michael R. Stein

Proceedings of a Seminar Held January 12-16, 1987, with Support from the National Science Foundation and Japan Society for the Promotion of Science

Algebraic K-theory and Algebraic Number Theory

Part 1 Algebraic K-Theory. Proceedings of a Conference Held at Oberwolfach, June 1980

Proceedings of a Conference Held at Oberwolfach, June 1980 Part II

Algebraic K — Theory

Claudio Pedrini

In the mid-1960s, several Italian mathematicians began to study the connections between classical arguments in commutative algebra and algebraic geometry, and the contemporaneous development of algebraic $K$-theory in the U.S. These connections were exemplified by the work of Andreotti-Bombieri, Salmon, and Traverso on seminormality, and by Bass-Murthy on the Picard groups of polynomial rings. Interactions proceeded far beyond this initial point to encompass Chow groups of singular varieties, complete intersections, and applications of $K$-theory to arithmetic and real geometry. This volume contains the proceedings from a U.S.-Italy Joint Summer Seminar, which focused on this circle of ideas. The conference, held in June 1989 in Santa Margherita Ligure, Italy, was supported jointly by the Consiglio Nazionale delle Ricerche and the National Science Foundation. The book contains contributions from some of the leading experts in this area.

Proceedings of the U.S.--Italy Joint Seminar Held June 18-24, 1989 at Santa Margherita Ligure, Italy, with Support from the National Science Foundation and Consiglio Nazionale Delle Ricerche

Algebraic K-theory, Commutative Algebra, and Algebraic Geometry

R. Keith Dennis

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