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Algebraic fields

Most popular at the top

  • Number Fields and Function Fieldsby Gerard van der Geer; Ben Moonen; René Schoof

    Springer 2006; US$ 104.00

    Ever 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)by Jürgen Neukirch

    Springer 2006; US$ 59.95

    Algebraische 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 Domainsby Susumu Oda; Ken-ichi Yoshida

    Taylor and Francis 2007; US$ 220.00

    Although 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 Functionsby Irena Peeva

    Taylor and Francis 2007; US$ 220.00

    Hilbert 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...

  • Modules over Discrete Valuation Domainsby Piotr A. Krylov; Askar A. Tuganbaev

    De Gruyter 2008; US$ 238.00

    This 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...

  • Field Arithmeticby Michael D. Fried; Moshe Jarden

    Springer 2008; US$ 219.00

    Explores 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 Algebraby Alexander Levin; A. Verschoren

    Springer 2008; US$ 139.00

    Difference 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 Comodulesby Tomasz Brzezinski; Jose Luis Gomez-Pardo; Ivan Shestakov; Patrick F. Smith

    Springer 2008; US$ 169.00

    The 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...

  • Algebras, Rings and Modulesby Michiel Hazewinkel; Nadiya Gubareni; V.V. Kirichenko

    Springer 2007; US$ 139.00

    Provides 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...

  • Class Field Theoryby Nancy Childress

    Springer 2008; US$ 49.95

    Presents an introduction to class field theory that takes a traditional approach. This book attempts to present the material using the original techniques of proof (global to local). It is suitable for graduate course on algebraic number theory, as well as for students who are interested in self-study. more...