OVERRINGS OF t-COPRIMELY PACKED DOMAINS

Title & Authors
OVERRINGS OF t-COPRIMELY PACKED DOMAINS
Kim, Hwan-Koo;

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.
Keywords
t-coprimely packed;t-compactly packed;strong Mori domain;Pr$\small{\ddot{u}}$fer v-multiplication domain;tQR-property;(t-)flat;
Language
English
Cited by
1.
Overrings as Intersections of Localizations of an Integral Domain, Communications in Algebra, 2015, 43, 1, 225
2.
A note on generalized Krull domains, Journal of Algebra and Its Applications, 2014, 13, 07, 1450029
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