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#### Approximations and Endomorphism Algebras of Modules

De Gruyter 2012; US$ 377.00This monograph? now in its second revised and extended edition? provides a thorough treatment of module theory, a subfield of algebra. The authors develop an approximation theory as well as realization theorems and present some of its recent applications, notably to infinite-dimensional combinatorics and model theory. The book starts from... more...

#### Contemporary Ring Theory 2011

World Scientific Publishing Company 2012; US$ 143.00The 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... more...

#### Rings and Nearrings

De Gruyter 2007; US$ 238.00This volume consists of seven papers related in various matters to the research work of Kostia Beidar?, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics. Most papers are based on talks... more...

#### Field Theory

Springer 2007; US$ 64.95Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The... more...

#### The Geometry of Syzygies

Springer 2006; US$ 44.95Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It... more...

#### From Fourier Analysis and Number Theory to Radon Transforms and Geometry

Springer New York 2012; US$ 149.00???A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis?s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics,... more...

#### Serre's Problem on Projective Modules

Springer Berlin Heidelberg 2010; US$ 119.00?Serre?s Conjecture?, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x ,. . . ,x], where k is a ?eld. This statement was motivated by the fact that 1 n the af?ne scheme... more...

#### Six Short Chapters on Automorphic Forms and L-functions

Springer Berlin Heidelberg 2012; US$ 109.00This treatment of the period conjectures of Shimura and the moment conjecture covers two little-discussed, yet vital topics in number theory. It also provides a guide to the frontiers of research on these themes, as well as an overview of relevant literature. more...

#### A Survey of Trace Forms of Algebraic Number Fields

World Scientific Publishing Company 1984; US$ 113.00Every finite separable field extension F/K carries a canonical inner product, given by trace(xy). This symmetric K-bilinear form is the trace form of F/K.When F is an algebraic number field and K is the field Q of rational numbers, the trace form goes back at least 100 years to Hermite and Sylvester. These notes present the first systematic treatment... more...

#### Ring Theory, 83

Elsevier Science 2012; US$ 72.95This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will... more...