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#### 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...

#### 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

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...

#### Field Arithmetic

Springer 2008; US$ 219.00Explores Diophantine fields through their absolute Galois groups. This work features the techniques from algebraic geometry, number theory, and profinite groups. It helps graduate students to learn the generalizations of finite field ideas. more...

#### Difference Algebra

Springer 2008; US$ 139.00Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays,... more...

#### Modules and Comodules

Springer 2008; US$ 169.00The 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...

#### Modules over Discrete Valuation Domains

De Gruyter 2008; US$ 238.00This book provides the first systematic treatment of modules over discrete valuation domains which plays an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text which is supplemented by exercises and interesting open problems. An important contribution... more...

#### Algebras, Rings and Modules

Springer 2007; US$ 139.00Provides 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...

#### An introduction to nonassociative algebras

Elsevier Science 2011; US$ 72.95An introduction to nonassociative algebras more...