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Integral closure and
generalized transforms in graded domains
Jon Lee Johnson |
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Vol. 107 (1983), No. 1, 173–178
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Abstract |
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In this article we consider the integral closure of integral domains by using the generalized transform and valuation rings. The first section establishes the basic theory in a general setting while the second deals with applications to graded rings, ending with a generalization of theorems due to Kuan and Seidenberg on integral closure in Z+ graded rings. As in a number of recent articles, we investigate the idea that if a property holds in the graded case, and it holds for Rs = {a∕b∣a,b ∈ R,b a homogeneous non-zero divisor}, then the property holds for the ring. |
Mathematical Subject Classification 2000
Primary: 13B20, 13B20
Secondary: 13A05
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Milestones
Received: 7 October 1981
Published: 1 July 1983
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Authors |
| Jon Lee Johnson | |
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