[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2017.57.3.433

A Characterization of Dedekind Domains and ZPI-rings

Rostami, Esmaeil (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman)

Publication Information

Kyungpook Mathematical Journal / v.57, no.3, 2017 , pp. 433-439 More about this Journal

Abstract

It is well known that an integral domain D is a Dedekind domain if and only if D is a Noetherian almost Dedekind domain. In this paper, we show that an integral domain D is a Dedekind domain if and only if D is an almost Dedekind domain such that Max(D) is a Noetherian topological space as a subspace of Spec(D) with respect to the Zariski topology. We also give a new characterization of ZPI-rings.

Keywords

Dedekind domain; almost Dedekind domain; ZPI-ring;

Citations & Related Records

Reference

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