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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 hermitiennes... 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 diverses... more...

  • Approximate Commutative Algebraby Lorenzo Robbiano; John Abbott

    Springer Vienna 2009; US$ 179.00

    Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seen enormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific... 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

    The study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only over the last 30 years and has enjoyed a recent flurry of activity and advancement. This book presents the proceedings of two recent meetings that gathered key researchers from around the world... more...

  • Basic Modern Algebra with Applicationsby Mahima Ranjan Adhikari; Avishek Adhikari

    Springer India 2013; US$ 79.99

    In addition to the group, ring and module theory usually found in a standard modern algebra text, this book discusses group theory, semigroups, groups, topological groups and Lie groups, factorization theory, Noetherian and Artinian rings and more. more...

  • Categories and Commutative Algebraby

    Springer Berlin Heidelberg 2011; US$ 49.95

    L. Badescu: Sur certaines singularités des variétés algébriques.- D.A. Buchsbaum: Homological and commutative algebra.- S. Greco: Anelli Henseliani.- C. Lair: Morphismes et structures algébriques.- B.A. Mitchell: Introduction to category theory and homological algebra.- R. Rivet: Anneaux de séries formelles et anneaux henseliens.- P. Salmon: Applicazioni... 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...