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Commutative rings

  • Algebre Commutativeby N. Bourbaki

    Springer 2007; US$ 79.95

    Ce volume du Livre d Algebre commutative, septieme Livre du traite, comprend les chapitres: 8. Dimension; 9. Anneaux locaux noetheriens complets. Le chapitre 8 traite de diverses notions de dimension en algebre commutative, telles que la dimension de Krull d un anneau. Ces notions jouent un role capital en geometrie algebrique. Le chapitre 9 introduit,... more...

  • Arithmetic of Blowup Algebrasby Wolmer V. Vasconcelos

    Cambridge University Press 1994; US$ 62.00

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

  • Arithmetical Properties of Commutative Rings and Monoidsby

    Taylor and Francis 2010; US$ 241.00

    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...

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

    Springer 2011; US$ 149.00

    The Abel Symposium 2009 'Combinatorial aspects of Commutative Algebra and Algebraic Geometry', held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Soderberg theory, Schubert calculus, and quiver varieties. The volume... 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 Philippe Gimenez; Maria Vaz Pinto; Santiago Zarzuela

    Taylor and Francis 2010; US$ 210.00

    Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles presented... more...

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

    Springer 2010; US$ 179.00

    Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The... more...

  • Commutative Algebraby Irena Peeva

    Springer 2012; US$ 149.00

    This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements,... more...

  • Commutative Algebraby J. T. Knight

    Cambridge University Press 1971; US$ 49.00

    This introduction to commutative algebra gives an account of some general properties of rings and modules, with their applications to number theory and geometry. more...