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Algebraic fields

Most popular at the top

  • Field Arithmeticby Michael D. Fried

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 159.00

    Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting... more...

  • The Brauer-Hasse-Noether Theorem in Historical Perspectiveby Peter Roquette

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 29.99

    The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although... more...

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

    Springer 2006; US$ 64.95

    Cyclotomic fields have occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest theorem known about them. This work presents the proof of the "main conjecture'' for cyclotomic fields. It is useful to both graduate students and non-experts in Iwasawa theory. more...

  • Determinantal Idealsby Rosa Maria Miro-Roig

    Springer 2007; US$ 89.99

    Determinantal ideals are a central topic in both commutative algebra and algebraic geometry. This book addresses three problems: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and, unobstructedness and dimension of families of standard determinantal ideals. more...

  • Endliche Körperby Hans Kurzweil

    Springer 2007; US$ 19.95

    more...

  • Radical Theory of Ringsby J.W. Gardner; R. Wiegandt

    Taylor and Francis 2003; US$ 283.00

    Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals... more...

  • Cohomology of Vector Bundles and Syzygiesby Jerzy Weyman

    Cambridge University Press 2003; US$ 113.00

    An exposition of the important geometric technique of calculating syzygies. more...

  • Function Field Arithmeticby Dinesh S Thakur

    World Scientific Publishing Company 2004; US$ 236.00

    This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. more...

  • Algebras, Rings and Modulesby Michiel Hazewinkel

    Springer 2004; US$ 129.00

    The text of the first volume of the book covers the major topics in ring and module theory and includes both fundamental classical results and more recent developments. The basic tools of investigation are methods from the theory of modules, which allow a very simple and clear approach both to classical and new results. An unusual main feature of this... more...

  • Non-Unique Factorizationsby Alfred Geroldinger; Franz Halter-Koch

    Taylor and Francis 2010; US$ 164.95

    From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factorizations:... more...