SOME EXAMPLES OF ALMOST GCD-DOMAINS

• 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: PDF
• 발행일자: 2011.08.30

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