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Valued Fields
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 99.99Absolute 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$ 185.00This 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$ 84.99Ever 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...
Simple Extensions with the Minimum Degree Relations of Integral Domains
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Taylor & Francis 2007; US$ 199.95Hilbert functions and resolutions are fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. This work explores fresh developments in the field as well as fundamental concepts. It also gives an introduction to multigraded Hilbert functions, mixed multiplicities, and joint reductions. more...
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Springer 2007; US$ 99.99Provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations, including the representations of quivers and finite partially ordered sets. This volume provides the theory of semiprime Noetherian semiperfect and semidistributive rings. more...
