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Item Details
Title: STEPS IN COMMUTATIVE ALGEBRA
By: Rodney Y. Sharp, J. Bruce
Format: Paperback

List price: £46.99
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ISBN 10: 0521646235
ISBN 13: 9780521646239
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 4 January, 2001
Edition: 2nd Revised edition
Series: London Mathematical Society Student Texts No. 51
Pages: 368
Description: Introductory account of commutative algebra, aimed at students with a background in basic algebra.
Synopsis: This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative algebra and algebraic geometry. The style throughout is rigorous but concrete, with exercises and examples given within chapters, and hints provided for the more challenging problems used in the subsequent development. After reminders about basic material on commutative rings, ideals and modules are extensively discussed, with applications including to canonical forms for square matrices. The core of the book discusses the fundamental theory of commutative Noetherian rings. Affine algebras over fields, dimension theory and regular local rings are also treated, and for this second edition two further chapters, on regular sequences and Cohen-Macaulay rings, have been added. This book is ideal as a route into commutative algebra.
Illustrations: bibliography, index
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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ASPECTS OF QUANTUM FIELD THEORY IN CURVED SPACETIME (PB)
AUTOMORPHISMS OF SURFACES AFTER NIELSEN AND THURSTON (PB)
BRAIDS AND COVERINGS (PB)
CLASSICAL INVARIANT THEORY (HB)
CLASSICAL INVARIANT THEORY (PB)
COMMUNICATION THEORY (PB)
COMMUTATIVE ALGEBRA
COMMUTATIVE ALGEBRA (PB)
COMPLEX ALGEBRAIC CURVES (PB)
COMPLEX ALGEBRAIC SURFACES (HB)
COMPLEX ALGEBRAIC SURFACES (PB)
CONSENSUS, CONFUSION AND CONTROVERSY (PB)
CURVES & SINGULARITIES (HB)
CURVES & SINGULARITIES (PB)
CURVES AND SINGULARITIES
CURVES AND SINGULARITIES (HB)
CURVES AND SINGULARITIES (PB)
DESIGNS, GRAPHS, CODES AND THEIR LINKS (HB)
DESIGNS, GRAPHS, CODES AND THEIR LINKS (PB)
DYNAMICAL SYSTEMS AND ERGODIC THEORY (PB)
ELEMENTARY THEORY OF L-FUNCTIONS AND EISENSTEIN SERIES (HB)
ELEMENTARY THEORY OF L-FUNCTIONS AND EISENSTEIN SERIES (PB)
ELLIPTIC FUNCTIONS (HB)
ELLIPTIC FUNCTIONS (PB)
FOURIER ANALYSIS ON FINITE GROUPS AND APPLICATIONS (PB)
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS (HB)
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS (PB)
HILBERT SPACE (PB)
HYPERBOLIC GEOMETRY FROM A LOCAL VIEWPOINT (HB)
HYPERBOLIC GEOMETRY FROM A LOCAL VIEWPOINT (PB)
LMSST: 24 LECTURES ON ELLIPTIC CURVES (PB)
LOCAL COHOMOLOGY
LOCAL COHOMOLOGY (HB)
LOCAL COHOMOLOGY (HB)
LOCAL COHOMOLOGY (PB)
LOCAL FIELDS (PB)
MICROCONTROLLERS
MICROCONTROLLERS (PB)
PERMUTATION GROUPS (PB)
POTENTIAL THEORY IN THE COMPLEX PLANE (PB)
PRESENTATIONS OF GROUPS (PB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (HB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (PB)
SET THEORY FOR THE WORKING MATHEMATICIAN (PB)
SINGULAR POINTS OF PLANE CURVES (HB)
SPACETIME AND SINGULARITIES (PB)
STEPS IN COMMUTATIVE ALGEBRA
STEPS IN COMMUTATIVE ALGEBRA (PB)
THE ALGORITHMIC RESOLUTION OF DIOPHANTINE EQUATIONS (HB)
THE LAPLACIAN ON A RIEMANNIAN MANIFOLD (HB)
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UNDERGRADUATE ALGEBRAIC GEOMETRY (PB)
UNDERGRADUATE COMMUTATIVE ALGEBRA (HB)
UNDERGRADUATE COMMUTATIVE ALGEBRA (PB)
YOUNG TABLEAUX (PB)

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