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Commutative rings

  • Algebraic Cobordismby Marc Levine; Fabien Morel

    Springer Berlin Heidelberg 2007; US$ 99.00

    Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism... more...

  • Algèbreby N. Bourbaki

    Springer Berlin Heidelberg 2007; US$ 39.95

    Formes sesquilinéaires et formes quadratiques Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce neuvième chapitre du Livre d? Algèbre , deuxième Livre du traité, est consacré aux formes quadratiques, symplectiques ou... more...

  • Algèbre commutativeby N. Bourbaki

    Springer Berlin Heidelberg 2007; US$ 79.95

    Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce volume du Livre d?Algèbre commutative, septième Livre du traité, comprend les chapitres: 1. Dimension; 2. Anneaux locaux noethériens complets. Le chapitre 8 traite de... more...

  • Arithmetic of Blowup Algebrasby Wolmer V. Vasconcelos

    Cambridge University Press 1994; US$ 64.00

    This book discusses recent developments in an important area of computational commutative algebra. more...

  • Arithmetical Properties of Commutative Rings and Monoidsby Scott T. Chapman

    CRC Press 2005; US$ 253.00

    Non-Atomic Unique Factorization in Integral Domains Daniel D. Anderson Divisibility Properties in Graded Integral Domains David F. Anderson Extensions of Half-Factorial Domains: A Survey Jim Coykendall C-Monoids and Congruence Monoids in Krull Domains Franz Halter-Koch Monotone Chains of Factorizations in C-Monoids Andreas Foroutan and Alfred Geroldinger... more...

  • Combinatorial Aspects of Commutative Algebra and Algebraic Geometryby Gunnar Fløystad; Trygve Johnsen; Andreas Leopold Knutsen

    Springer Berlin Heidelberg 2011; US$ 169.00

    Based on The Abel Symposium 2009 held in Voss, Norway, this volume features talks by leading researchers in the field. Topics include syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. more...

  • Combinatorial Commutative Algebraby Ezra Miller; Bernd Sturmfels

    Springer-Verlag New York Inc 2006; US$ 59.95

    Offers an introduction to combinatorial commutative algebra, focusing on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determined rings. The chapters in this work cover topics ranging from homological invariants of monomial ideals and their polyhedral resolutions, to tools for studying algebraic varieties. more...

  • Combinatorics and Commutative Algebraby Richard P. Stanley

    Springer 2007; US$ 69.95

    Some remarkable connections between commutative algebra and combinatorics have been discovered in recent years. This book provides an overview of two of the main topics in this area. The first concerns the solutions of linear equations in nonnegative integers. Applications are given to the enumeration of integer stochastic matrices (or magic squares),... more...

  • Commutative Algebraby Alberto Corso; Philippe Gimenez; Maria Vaz Pinto; Santiago Zarzuela

    CRC Press 2005; US$ 220.00

    A Theorem of Eakin and Sathaye and Green's Hyperplane Restriction Theorem. Liaison of Varieties of Small Dimension and Deficiency Modules. Regularity Jumps for Powers of Ideals. Integral Closure of Ideals and Annihilators of Homology. Poincaré Series of Surface Singularities. Multi-Graded Hilbert Coefficients. Torsion Freeness and Normality of Blowup... more...

  • Commutative Algebraby Marco Fontana; Salah-Eddine Kabbaj; Bruce Olberding; Irena Swanson

    Springer New York 2010; US$ 179.00

    Commutative Algebra presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. Topics include generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, and more. more...