[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2016.24.3.537

WHEN THE NAGATA RING D(X) IS A SHARP DOMAIN

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

Publication Information

Korean Journal of Mathematics / v.24, no.3, 2016 , pp. 537-543 More about this Journal

Abstract

Let D be an integral domain, X be an indeterminate over D, D[X] be the polynomial ring over D, and D(X) be the Nagata ring of D. Let [d] be the star operation on D[X], which is an extension of the d-operation on D as in [5, Theorem 2.3]. In this paper, we show that D is a sharp domain if and only if D[X] is a [d]-sharp domain, if and only if D(X) is a sharp domain.

Keywords

star operation; sharp domain; polynomial ring; Nagata ring;

Citations & Related Records

Reference

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