LMSST: 51 Steps Commut Algebra 2ed - Brossura

Sharp

Brossura

ISBN 10: 0521646235 ISBN 13: 9780521646239

Casa editrice: Cambridge University Press, 2008

Riassunto

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.

Su questo libro

Recensione:

'... a very useful stepping-stone for students in their study of commutative algebra.' H. Mitsch, Universität Wien

'... Sharp is an excellent guide, clearly aiming never to leave his readers floundering ... This standard of care for his readers is maintained throughout the book ... this is a superb guide to an attractive and important area of mathematics, and one from which I will derive pleasure as a retirement project. But it will never be an easy ride.' John Baylis, The Mathematical Gazette

Descrizione del libro:

This introductory account of commutative algebra is aimed at students with a background only in basic algebra. It is thus suitable for first-year graduate students and advanced undergraduates, with a style which is throughout rigorous but concrete. This new edition contains additional chapters on regular sequences and on Cohen–Macaulay rings.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521646235
• ISBN 13: 9780521646239
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 368