Format:
1 Online-Ressource (xiii, 320 Seiten)
ISBN:
9781139171762
Series Statement:
Cambridge studies in advanced mathematics 8
Uniform Title:
Kakan kan ron
Content:
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 Ratliff's 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.
Additional Edition:
ISBN 9780521367646
Additional Edition:
Erscheint auch als Druck-Ausgabe Matsumura, Hideyuki, 1930 - Commutative ring theory Cambridge [u.a.] : Cambridge Univ. Pr., 1989 ISBN 0521259169
Additional Edition:
ISBN 0521367646
Additional Edition:
ISBN 9780521367646
Language:
English
Subjects:
Mathematics
Keywords:
Kommutativer Ring
DOI:
10.1017/CBO9781139171762
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