학술저널
SOME EXAMPLES OF ALMOST GCD-DOMAINS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 3
-
2011.08601 - 607 (7 pages)
- 2
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.
1. Introduction
2. Almost weakly factorial AGCD-Domain
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