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  • 1
    Online Resource
    Online Resource
    Cambridge : Cambridge University Press
    Format: 1 online resource (xii, 355 pages)
    Edition: Second edition
    ISBN: 9780511623684 , 978-0-521-64623-9
    Series Statement: London Mathematical Society student texts 51
    Content: 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
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015)
    Additional Edition: Erscheint auch als
    Language: English
    Keywords: Kommutative Algebra
    URL: Volltext  (URL des Erstveröffentlichers)
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