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ISBN: 9780511893520

ID: 9780511893520

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. Steps in Commutative Algebra: 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., Cambridge University Press

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ISBN: 9780511893520

ID: 713194235

Steps in Commutative Algebra: Rodney Y. Sharp Steps in Commutative Algebra: Rodney Y. Sharp eBooks > Belletristik > Erzählungen, Cambridge University Press

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ISBN: 9780511893520

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Steps in Commutative Algebra ab 37.99 EURO Steps in Commutative Algebra ab 37.99 EURO eBooks > Belletristik > Erzählungen, [PU: Cambridge University Press]

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** Details of the book - Steps in Commutative Algebra**

EAN (ISBN-13): 9780511893520

Publishing year: 1

Publisher: Cambridge University Press

Book in our database since 02.01.2008 17:55:41

Book found last time on 08.10.2017 15:20:16

ISBN/EAN: 9780511893520

ISBN - alternate spelling:

978-0-511-89352-0

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