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http://dx.doi.org/10.11568/kjm.2011.19.4.343

ON ALMOST PSEUDO-VALUATION DOMAINS, II  

Chang, Gyu Whan (Department of Mathematics University of Incheon)
Publication Information
Korean Journal of Mathematics / v.19, no.4, 2011 , pp. 343-349 More about this Journal
Abstract
Let D be an integral domain, $D^w$ be the $w$-integral closure of D, X be an indeterminate over D, and $N_v=\{f{\in}D[X]{\mid}c(f)_v=D\}$. In this paper, we introduce the concept of $t$-locally APVD. We show that D is a $t$-locally APVD and a UMT-domain if and only if D is a $t$-locally APVD and $D^w$ is a $PvMD$, if and only if D[X] is a $t$-locally APVD, if and only if $D[X]_{N_v}$ is a locally APVD.
Keywords
almost pseudo-valuation domain (APVD); (t-)locally APVD; UMT-domain; $D[X]_{N_v}$;
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Times Cited By KSCI : 1  (Citation Analysis)
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