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Most popular at the top
- Taylor and Francis 2006; US$ 164.95
From 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...
- 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$ 25.00
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...
- Cambridge University Press 2006; US$ 181.00
This book presents the theory of free ideal rings (firs) in detail. more...
- De Gruyter 2006; US$ 238.00
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...
- Taylor and Francis 2006; US$ 199.95
Many 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...
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 129.00
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$ 190.00
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...
- Springer-Verlag New York Inc 2006; US$ 74.95
Arranged 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...
- Springer 2006; US$ 69.95
Provides 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...