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#### Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings

Cambridge University Press 2004; US$ 80.00This book provides a unified approach to much of the theories of equivalence and duality between categories of modules. more...

#### Non-Unique Factorizations

Taylor and Francis 2006; US$ 164.95From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factorizations:... more...

#### The Square Root of 2

Springer-Verlag New York Inc 2006; US$ 25.00The square root of 2 is a fascinating number, if a little less famous than such mathematical stars as pi, the number e, the golden ratio, or the square root of 1. This book shows why v2 is an important number, and how, in puzzling out its special qualities, mathematicians gained insights into the illusive nature of irrational numbers. more...

#### Free Ideal Rings and Localization in General Rings

Cambridge University Press 2006; US$ 192.00This book presents the theory of free ideal rings (firs) in detail. more...

#### Approximations and Endomorphism Algebras of Modules

De Gruyter 2006; US$ 238.00This monograph 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 is devoted to graduate students interested in algebra as well as to experts... more...

#### Valued Fields

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 129.00Absolute values and their completions - such as the p-adic number fields - play an important role in number theory. In valuation theory, the notion of a completion has to be replaced by that of "Henselization". This book develops the theory of valuations as well as of Henselizations. more...

#### Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conference

World Scientific Publishing Company 2005; US$ 234.00The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory. The review articles, written by specialists, provide an excellent overview of the... more...

#### Problems in Algebraic Number Theory

Springer-Verlag New York Inc 2006; US$ 74.95Arranged to present the evolution of concepts and ideas of the subject, this is a collection of about 500 problems in algebraic number theory. Containing solved problems, it is designed for students with the usual background of undergraduate algebra. more...

#### Almost Free Modules

Elsevier Science 2002; US$ 195.00This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings. This second edition is completely revised and udated to include major... more...

#### Number Fields and Function Fields

Springer 2006; US$ 104.00Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas. This title contains articles which explore various aspects of the parallel worlds of function fields and number fields, ranging from Arakelov geometry to Drinfeld modules, and t-motives. more...