- OVERRINGS OF t-COPRIMELY PACKED DOMAINS
- Kim, Hwan-Koo ;
- Journal of the Korean Mathematical Society, volume 48, issue 1, 2011, Pages 191~205
- DOI : 10.4134/JKMS.2011.48.1.191

Abstract

It is well known that for a Krull domain R, the divisor class group of R is a torsion group if and only if every subintersection of R is a ring of quotients. Thus a natural question is that under what conditions, for a non-Krull domain R, every (t-)subintersection (resp., t-linked overring) of R is a ring of quotients or every (t-)subintersection (resp., t-linked overring) of R is at. To address this question, we introduce the notions of *-compact packedness and *-coprime packedness of (an ideal of) an integral domain R for a star operation * of finite character, mainly t or w. We also investigate the t-theoretic analogues of related results in the literature.