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http://dx.doi.org/10.4134/JKMS.2011.48.1.191

OVERRINGS OF t-COPRIMELY PACKED DOMAINS  

Kim, Hwan-Koo (DEPARTMENT OF INFORMATION SECURITY HOSEO UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 191-205 More about this Journal
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$\ddot{u}$fer v-multiplication domain; tQR-property; (t-)flat;
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