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Algebraic fields

  • Euler Systems. (AM-147)by Karl Rubin

    Princeton University Press 2014; US$ 72.50

    One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations,... more...

  • Primes of the Form x2+ny2by David A. Cox

    Wiley 2014; US$ 59.95

    An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes... more...

  • Lecture Notes on Algebraic Structure of Lattice-Ordered Ringsby Jingjing Ma

    World Scientific Publishing Company 2014; US$ 75.00

    Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field. This book may be used as a textbook for graduate... more...

  • Emil Artin and Helmut Hasseby Günther Frei; Franz Lemmermeyer; Peter J. Roquette

    Springer 2014; US$ 149.00

    This volume consists of the English translations of the letters exchanged between Emil Artin to Helmut Hasse written from 1921 until 1958. The letters are accompanied by extensive comments explaining the mathematical background and giving the information needed for understanding these letters. Most letters deal with class field theory and shed a light... more...

  • Where is the Gödel-point hidingby Anna Horská

    Springer 2013; US$ 54.99

    This book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of formal derivations. A notable aspect of the proof is the representation... more...

  • Cohomology of Number Fieldsby Jürgen Neukirch; Alexander Schmidt; Kay Wingberg

    Springer 2013; US$ 179.00

    The second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. The first part provides algebraic background: cohomology of profinite groups, duality groups, free products, and homotopy theory of modules, with new... 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...

  • Algebras, Quivers and Representationsby Aslak Bakke Buan; Idun Reiten; Oyvind Solberg

    Springer 2013; US$ 109.00

    This book features survey and research papers from The Abel Symposium 2011: Algebras, quivers and representations, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like, commutative algebra, algebraic geometry, algebraic groups and combinatorics.... more...

  • Extensions of Rings and Modulesby Gary F. Birkenmeier; Jae Keol Park; SYED T RIZVI

    Springer 2013; US$ 79.99

    The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions. The first four chapters of the book discuss rings and modules which generalize injectivity (e.g., extending modules), or for which certain annihilators become direct summands (e.g., Baer rings). Ring extensions... more...

  • Quadratic Irrationalsby Franz Halter-Koch

    Taylor and Francis 2013; US$ 99.95

    Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.... more...