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INTEGRAL CLOSURE OF A GRADED NOETHERIAN DOMAIN
- Park, Chang Hwan;
- Park, Mi Hee
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13초록
We show that, if R is a graded Noetherian ring and I is a proper ideal of R generated by 11 homogeneous elements, then any prime ideal of R minimal over I has h-height <= n, and that if R is a graded Noetherian domain with h-dim R <= 2, then the integral closure R' of R is also a graded Noetherian domain with h-dim R' <= 2. We also present a short improved proof of the result that, if R is a graded Noetherian domain, then the integral closure of R is a graded Krull domain.
키워드
graded ring; graded module; Noetherian ring; Krull domain; integral closure; RINGS
- 제목
- INTEGRAL CLOSURE OF A GRADED NOETHERIAN DOMAIN
- 저자
- Park, Chang Hwan; Park, Mi Hee
- 발행일
- 2011-05
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 48
- 호
- 3
- 페이지
- 449 ~ 464