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Commutative Ring Theory by H. Matsumura , Translated by Miles Reid, CAMBRIDGE UNIVERSITY PRESS

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  • General Information  
    Author(s)H. Matsumura , Translated by Miles Reid
    PublisherCAMBRIDGE UNIVERSITY PRESS
    EditionRevised
    ISBN9780521367646
    Pages376
    BindingPaperback
    Language_x000D_English
    Publish YearOctober 2008

    Description

    CAMBRIDGE UNIVERSITY PRESS Commutative Ring Theory by H. Matsumura , Translated by Miles Reid

    In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliffs theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.show more