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#### Non-Unique Factorizations

CRC Press 2006; US$ 172.95CONCEPTS IN FACTORIZATION THEORY AND EXAMPLES Atoms and Primes Free Monoids, Factorial Monoids and Factorizations BF-Monoids Systems of Sets of Lengths FF-Monoids The Catenary Degree and the Tame Degree Rings of Integers of Algebraic Number Fields ALGEBRAIC THEORY OF MONOIDS v-Ideals Prime Ideals and Localizations Complete Integral Closures and Krull... 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... more...

#### Certain Number-Theoretic Episodes In Algebra

CRC Press 2006; US$ 209.95ELEMENTS OF NUMBER THEORY AND ALGEBRA Theorems of Euler, Fermat and Lagrange Historical perspective Introduction The quotient ring Z / rZ An elementary counting principle Fermat?s two squares theorem Lagrange?s four squares theorem Diophantine equations Notes with illustrative examples Worked-out examples The Integral... 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...

#### Lifting Modules

Springer 2006; US$ 69.95Provides a study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules. This book introduces small submodules, the radical, variations on projectivity, and hollow dimension. It considers preradicals and torsion theories, decompositions of modules, supplements in modules, and lifting modules. 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...

#### 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...

#### Cyclotomic Fields and Zeta Values

Springer Berlin Heidelberg 2006; US$ 64.95Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures'' in modern arithmetic geometry involving the arithmetic behaviour... more...