- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Factorization and divisibility in generalized Rees rings Bull. Korean Math. Soc. 2004 Vol. 41, No. 3, 473-482 Published online September 1, 2004 Hwankoo Kim, Tae In Kwon, and Young Soo Park Hoseo University, Changwon National University, Kyungpook National University Abstract : Let $D$ be an integral domain, $I$ a proper ideal of $D$, and $R = D[It, t^{-1}]$ a generalized Rees ring, where $t$ is an indeterminate. For suitable conditions, we show that $R$ satisfies the ACCP (resp., is a BFD, an FFD, a (pre-)Schreier domain, a G-GCD domain, a PVMD, a v-domain) if and only if $D$ satisfies the ACCP (resp., is a BFD, an FFD, a (pre-)Schreier domain, a G-GCD domain, a PVMD, a v-domain) Keywords : ACCP, BFD, FFD, (pre-)Schreier, G-GCD domain, PVMD, v-domain MSC numbers : 13F05, 13F15, 13G05 Full-Text :