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Algebraic fields

Most popular at the top

  • Contemporary Ring Theory 2011by Jin Yong Kim; Chan Huh; Yang Lee

    World Scientific Publishing Company 2012; US$ 143.00

    The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor... more...

  • Rings and Nearringsby Mikhail Chebotar; Yuen Fong; Weng-Fong Ke; Pjek-Hwee Lee

    De Gruyter 2007; US$ 238.00

    This volume consists of seven papers related in various matters to the research work of Kostia Beidar?, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics. Most papers are based on talks that... more...

  • Field Theoryby Steven Roman

    Springer 2007; US$ 64.95

    Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The... more...

  • The Geometry of Syzygiesby David Eisenbud

    Springer 2006; US$ 44.95

    Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It... more...

  • Serre's Problem on Projective Modulesby T.Y. Lam

    Springer 2010; US$ 119.00

    An invaluable summary of research work done in the period from 1978 to the present more...

  • From Fourier Analysis and Number Theory to Radon Transforms and Geometryby Hershel M. Farkas; Robert C. Gunning; Marvin I. Knopp

    Springer 2012; US$ 149.00

    A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics,... more...

  • Six Short Chapters on Automorphic Forms and L-functionsby Ze-Li Dou; Qiao Zhang

    Springer 2011; US$ 109.00

    Six Short Chapters on Automorphic Forms and L-functions' treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contemporary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with... more...

  • A Survey of Trace Forms of Algebraic Number Fieldsby Pierre E. Conner; R. Perlis

    World Scientific Publishing Company 1984; US$ 113.00

    Every finite separable field extension F/K carries a canonical inner product, given by trace(xy). This symmetric K-bilinear form is the trace form of F/K.When F is an algebraic number field and K is the field Q of rational numbers, the trace form goes back at least 100 years to Hermite and Sylvester. These notes present the first systematic treatment... more...

  • Algebraby Gernot Stroth

    De Gruyter 2013; US$ 839.00

    The expanded and revised new edition of this text offers an elegant and coherent introduction to the material covered in a university-level algebra course. The solving of systems of equations is a central and unifying approach in the work. The textbook presents the interconnections between group theory, ring theory, and algebraic field theory, and... more...

  • Lectures on the Asymptotic Theory of Idealsby D. Rees

    Cambridge University Press 1988; US$ 60.00

    In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general... more...