학술논문
SOME EXAMPLES OF ALMOST GCD-DOMAINS
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Gyu Whan Chang
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 24, No. 3, 601~607쪽, 전체 7쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2011.08.30
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국문 초록
영문 초록
Let D be an integral domain, X be an indeterminateover D, and D[X] be the polynomial ring over D. We show that
D is an almost weakly factorial PvMD if and only if D + XDS[X] is an integrally closed almost GCD-domain for each (saturated) multiplicative subset S of D, if and only if D + XD1[X] is an integrally closed almost GCD-domain for any t-linked overring D1 of D, if and only if D1 + XD2[X] is an integrally closed almost GCD-domain for all t-linked overrings D1 µ D2 of D.
목차
1. Introduction
2. Almost weakly factorial AGCD-Domain
키워드
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