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LOCALLY DIVIDED DOMAINS OF THE FORM $D[X]_N_v$  

Chang, Gyu Whan (Department of Mathematics University of Incheon)
Publication Information
Korean Journal of Mathematics / v.18, no.1, 2010 , pp. 37-43 More about this Journal
Abstract
Let D be an integral domain, X be an indeterminate over D, and $N_v=\{f{\in}D[X]{\mid}(A_f)_v=D\}$. In this paper, we introduce the concept of t-locally divided domains, and we then prove that $D[X]_{N_v}$ is a locally divided domain if and only if D is a t-locally divided UMT-domain, if and only if D[X] is a t-locally divided domain.
Keywords
(t-)locally divided domain; UMT-domain; the ring $D[X]_{N_v}$;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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