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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$ 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

    Taylor and Francis 2005; 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$ 169.00

    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 Alberto Corso; Philippe Gimenez; Maria Vaz Pinto; Santiago Zarzuela

    CRC Press 2005; US$ 210.00

    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

    Springer New York 2013; US$ 149.00

    Provides an accessible and broad overview to the field of commutative algebra Includes expository contributions written by leaders in the field Accessible to graduate students and researchers who are new to the area more...

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

    Springer New York 2010; US$ 179.00

    Contains a collection of invited survey articles by some of the leading experts in commutative algebra. The included conributions have been carefully selected for their impact on the field. Prepresent various significant developments in both Noetherian and non-Noetherian commutative algebra. more...

  • Commutative Algebraby

    Springer New York 2014; US$ 129.00

    Contributions cover the flourishing areas of commutative algebra, not yet well represented in published literature Contains 100 open problems supplied by the authors Provides a multi-dimensional survey of the recent development of the field and an extensive bibliography more...