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Singh, Balwant

Basic commutative algebra - Singapore: World Scientific, 2022 - xiv, 390p. Pbk.

Contents:
Rings and Ideals
Modules and Algebras
Polynomial and Power Series Rings
Homological Tools I
Tensor, Symmetric and Exterior Algebras
Finiteness Conditions
Primary Decomposition
Filtrations and Completions
Numerical Functions
Principal Ideal Theorem
Integral Extensions
Normal Domains
Transcendental Extensions
Affine Algebras
Derivations and Differentials
Valuation Rings and Valuations
Homological Tools II
Homological Dimensions
Depth
Regular Rings
Divisor Class Groups

This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are familiarity with groups, rings and fields. Proofs are self-contained.

The book will be useful to beginners and experienced researchers alike. The material is so arranged that the beginner can learn through self-study or by attending a course. For the experienced researcher, the book may serve to present new perspectives on some well-known results, or as a reference.

ISBN: 9781944659936

Subjects--Topical Terms:
COMMUTATIVE ALGEBRA
HOMOLOGICAL DIMENSIONS
MODULES AND ALGEBRA
RINGS

Dewey Class. No.: 512.71 / SIN-B