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#### Problems in Algebraic Number Theory

Springer New York 2006; US$ 79.99Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in training the mind of a researcher. It would not be an exaggeration to say that the ability to do mathematical research lies essentially asking "well-posed"... more...

#### Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conference

World Scientific Publishing Company 2005; US$ 144.00The 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...

#### 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$ 79.99Cyclotomic 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 Berlin Heidelberg 2006; US$ 44.99Die algebraische Zahlentheorie ist eine der traditionsreichsten und gleichzeitig heute besonders aktuellen Grunddisziplinen der Mathematik. In dem vorliegenden Buch wird sie in einem ausführlichen und weitgefaßten Rahmen abgehandelt, der sowohl die Grundlagen als auch ihre Höhepunkte enthält. Die Darstellung führt den Leser in konkreter Weise in das... more...

#### Determinantal Ideals

Birkhäuser Basel 2007; US$ 109.00This 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...

#### 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...

#### Difference Algebra

Springer Netherlands 2008; US$ 139.00This book contains a systematic study of partial difference algebraic structures and their applications, as well as coverage of the classical theory of ordinary difference rings and field extensions. more...

#### Modules and Comodules

Birkhäuser Basel 2008; US$ 179.00The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory, some... more...