Korean J. Math.  Vol 19, No 4 (2011)  pp.
DOI: https://doi.org/10.11568/kjm.2011.19.4.

ON ALMOST PSEUDO-VALUATION DOMAINS, II

Gyu Whan Chang

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 ∈ D[X]|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 Dw is a PvMD, if and only if D[X] is a t-locally APVD, if and only if D[X]Nv is a locally APVD. 


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ISSN: 1976-8605 (Print), 2288-1433 (Online)

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