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Algebraic fields

Most popular at the top

  • Certain Number-Theoretic Episodes In Algebraby R Sivaramakrishnan

    CRC Press 2006; US$ 209.95

    ELEMENTS OF NUMBER THEORY AND ALGEBRA Theorems of Euler, Fermat and Lagrange Historical perspective Introduction The quotient ring Z / rZ An elementary counting principle Fermat?s two squares theorem Lagrange?s four squares theorem Diophantine equations Notes with illustrative examples Worked-out examples The Integral... more...

  • Advances In Ring Theory - Proceedings Of The 4th China-japan-korea International Conferenceby J. L. Chen; N Q Ding; H Marubayashi

    World Scientific Publishing Company 2005; US$ 234.00

    The 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 Theoryby M. Ram Murty; Jody Esmonde

    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...

  • Almost Free Modulesby P.C. Eklof; A.H. Mekler

    Elsevier Science 2002; US$ 195.00

    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...

  • Lifting Modulesby John Clark; Christian Lomp; Narayanaswami Vanaja

    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...

  • 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...

  • Cyclotomic Fields and Zeta Valuesby John Coates; R. Sujatha

    Springer Berlin Heidelberg 2006; US$ 64.95

    Cyclotomic 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...

  • Determinantal Idealsby Rosa M. Miró-Roig

    Birkhäuser Basel 2007; US$ 99.00

    This 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 Domainsby Susumu Oda; Ken-ichi Yoshida

    CRC Press 2007; US$ 231.00

    The Ring R[a] n R[a-1] Anti-Integral Extension and Flat Simple Extensions The Ring R(Ia) and the Anti-Integrality of a Strictly Closedness and Integral Extensions Upper-Prime, Upper-Primary, or Upper-Quasi-Primary Ideals Some Subsets of Spec(R) in the Birational Case SIMPLE EXTENSIONS OF HIGH DEGREE Sharma Polynomials Anti-Integral Elements... more...

  • Syzygies and Hilbert Functionsby Irena Peeva

    CRC Press 2007; US$ 231.00

    Some Results and Questions on Castelnuovo-Mumford Regularity Marc Chardin Hilbert Coefficients of Ideals with a View toward Blowup Algebras Alberto Corso and Claudia Polini A Case Study in Bigraded Commutative Algebra David Cox, Alicia Dickenstein and Hal Schenck Lex-Plus-Powers Ideals Christopher A. Francisco and Benjamin P. Richert Multiplicity... more...