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#### Certain Number-Theoretic Episodes In Algebra

CRC Press 2006; US$ 209.95Many 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...

#### 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...

#### 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...

#### Lifting Modules

Birkhäuser Basel 2008; US$ 69.95Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to provide a thorough study of supplements and projectivity... 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...

#### Algebraische Zahlentheorie (Springer-Lehrbuch Masterclass) (German Edition)

Springer 2006; US$ 59.95Algebraische Zahlentheorie: eine der traditionsreichsten und aktuellsten Grunddisziplinen der Mathematik. Das vorliegende Buch schildert ausführlich Grundlagen und Höhepunkte. Konkret, modern und in vielen Teilen neu. Neu: Theorie der Ordnungen. Plus: die geometrische Neubegründung der Theorie der algebraischen Zahlkörper durch die "Riemann-Roch-Theorie"... more...

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

CRC Press 2007; US$ 231.00Although 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

CRC Press 2007; US$ 231.00Hilbert 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...

#### Determinantal Ideals

Birkhäuser Basel 2007; US$ 99.00This comprehensive overview of determinantal ideals includes an analysis of the latest results. Following the carefully structured presentation, you?ll develop new insights into addressing and solving open problems in liaison theory and Hilbert schemes. more...