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Most popular at the top
- Cambridge University Press 2004; US$ 75.00
This book provides a unified approach to much of the theories of equivalence and duality between categories of modules. more...
- Springer-Verlag New York Inc 2006; US$ 19.95
The 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...
- CRC Press 2006; US$ 149.95
Geroldinger and Halter-Koch, both professors of mathematics at Karl Franzens University in Austria, outline the present state of the theory of non-unique factorizations and discuss related algebraic, combinatorial, and analytic fundamentals. The introductory chapter is accessible to readers with background in standard basic algebra. Coverage then m more...
- Cambridge University Press 2006; US$ 181.00
This book presents the theory of free ideal rings (firs) in detail. more...
- De Gruyter 2006; US$ 224.00
This 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...
- CRC Press 2006; US$ 179.95
There are many intersections between the fields of algebra and number theory, and in certain cases there exist explicit algebraic analogues of theorems from number theory. Presenting the tools needed to explore these linkages, this reference explains the conceptual foundations of commutative algebra arising from number theory. more...
- World Scientific Publishing Company 2005; US$ 234.00
The 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...
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 99.00
Absolute 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...
- Elsevier Science 2002; US$ 185.00
This 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...