[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2016.53.2.447

POWER SERIES RINGS OVER PRÜFER v-MULTIPLICATION DOMAINS

Chang, Gyu Whan (Department of Mathematics Education Incheon National University)

Publication Information

Journal of the Korean Mathematical Society / v.53, no.2, 2016 , pp. 447-459 More about this Journal

Abstract

Let D be an integral domain, { $X_{\alpha}$ } be a nonempty set of indeterminates over D, and $$D{\mathbb{[}}\{X_{\alpha}\}{\mathbb{$ $]$ $}_1}$$ be the first type power series ring over D. We show that if D is a t-SFT $Pr{\ddot{u}}fer$ v-multiplication domain, then $$D{\mathbb{[}}\{X_{\alpha}\}{\mathbb{$ $]$ $}}_{1_{D-\{0\}}}$$ is a Krull domain, and $$D{\mathbb{[}}\{X_{\alpha}\}{\mathbb{$ $]$ $}}_1$$ is a $Pr{\ddot{u}}fer$ v-multiplication domain if and only if D is a Krull domain.

Keywords

t-operation; t-SFT PvMD; power series ring; Krull domain;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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