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Commutative Ring Theory

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Commutative Ring Theory - Matsumura, H., and Reid, Miles (Translated by)
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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, ...

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Commutative Ring Theory 1989, Cambridge University Press, Cambridge

ISBN-13: 9780521367646

Trade paperback