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#### Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

Cambridge University Press 1990; US$ 48.00The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists. more...

#### Arithmetic of Blowup Algebras

Cambridge University Press 1994; US$ 64.00This book discusses recent developments in an important area of computational commutative algebra. more...

#### Steps in Commutative Algebra

Cambridge University Press 2001; US$ 52.00Introductory account of commutative algebra, aimed at students with a background in basic algebra. more...

#### Combinatorics and Commutative Algebra

Springer 2007; US$ 69.95Some 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...

#### Fuzzy Commutative Algebra

World Scientific Publishing Company 1998; US$ 178.00This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date version of fuzzy commutative algebra, and focuses on the connection between L-subgroups of a group, and L-subfields of a field. In particular, an up-to-date treatment of nonlinear systems of fuzzy intersection equations is given. more...

#### Commutative Algebra

Springer 2014; US$ 129.00This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished... more...

#### Algebre Commutative

Springer 2007; US$ 79.95Ce 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...

#### The Separable Galois Theory of Commutative Rings, Second Edition

CRC Press 2015; US$ 109.95The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains... more...

#### Lecture Notes on Local Rings

World Scientific Publishing Company 2014; US$ 62.00The content in Chapter 1–3 is a fairly standard one–semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen–Macaulay rings and depth. In Chapters 4–6 the methods of injective modules, Matlis duality and... more...