대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제29권1호
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- Pages.65-72
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- 1992
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
TIGHT CLOSURES AND INFINITE INTEGRAL EXTENSIONS
- Moon, Myung-In (Department of Mathematics, Seoul National University) ;
- Cho, Young-Hyun (Department of Mathematics, Seoul National University)
- 발행 : 1992.02.01
초록
All rings are commutative, Noetherian with identity and of prime characteristic p, unless otherwise specified. First, we describe the definition of tight closure of an ideal and the properties about the tight closure used frequently. The technique used here for the tight closure was introduced by M. Hochster and C. Huneke [4,5, or 6]. Using the concepts of the tight closure and its properties, we will prove that if R is a complete local domain and F-rational, then R is Cohen-Macaulay. Next, we study the properties of R
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