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Commutative Ring Theory / by H. Matsumura and M. Reid. [Electronic Resource]

By: Material type: Computer fileComputer fileSeries: Cambridge Studies in Advanced MathematicsPublication details: Cambridge : Cambridge University Press, 1987Description: xiv, 320pISBN:
  • 9781139171762
Related works:
  • Reid, M. (Tr.) [Author]
Subject(s): DDC classification:
  • 512.4 M429C
Online resources: Summary: 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.
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Holdings
Item type Home library Collection Call number Status Notes Date due Barcode Item holds
e-Book e-Book S. R. Ranganathan Learning Hub Online Textbook 512.4 M429C (Browse shelf(Opens below)) Available Platform : Cambridge Core EB0402
Total holds: 0

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.

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