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#### Combinatorial Commutative Algebra

Springer-Verlag New York Inc 2006; US$ 59.95Offers 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...

#### Integral Closure

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 179.00Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of... more...

#### Commutative Algebras of Toeplitz Operators on the Bergman Space

Springer 2008; US$ 189.00This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields... more...

#### Torsors and Rational Points

Cambridge University Press 2001; US$ 108.00This book, first published in 2001, is a complete and coherent exposition of the theory and applications of torsors to rational points. more...

#### Partially Ordered Rings and Semi-Algebraic Geometry

Cambridge University Press 1979; US$ 88.00The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. more...

#### Commutative Ring Theory and Applications

CRC Press 2002; US$ 297.00Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geometry,... more...

#### Geometric And Combinatorial Aspects Of Commutative Algebra

CRC Press 2001; US$ 275.00This work is based on the lectures presented at the International Conference of Commutative Algebra and Algebraic Geometry held in Messina, Italy. It discusses developments and advances in commutative algebra, algebraic geometry, and combinatorics - highlighting the theory of projective schemes, the geometry of curves, determinantal and stable ideals,... more...

#### Trends in Commutative Algebra

Cambridge University Press 2004; US$ 48.00Describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics. more...

#### Commutative Algebra

CRC Press 2005; US$ 220.00A 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...

#### Arithmetical Properties of Commutative Rings and Monoids

CRC Press 2005; US$ 253.00Non-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...