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#### Introductory Algebraic Number Theory

Cambridge University Press 2003; US$ 56.00This book provides an introduction to algebraic number theory suitable for senior undergraduates and beginning graduate students in mathematics. 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...

#### Certain Number-Theoretic Episodes In Algebra

Taylor and Francis 2006; US$ 199.95Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutative algebra... 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...

#### 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...

#### 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...

#### Simple Extensions with the Minimum Degree Relations of Integral Domains

Taylor and Francis 2007; US$ 220.00Although there are many types of ring extensions, simple extensions have yet to be thoroughly explored in one book. Covering an understudied aspect of commutative algebra, Simple Extensions with the Minimum Degree Relations of Integral Domains presents a comprehensive treatment of various simple extensions and their properties. In particular, it examines... more...

#### Syzygies and Hilbert Functions

Taylor and Francis 2007; US$ 220.00Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts. Written... 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...