[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b190757

FLAT DIMENSIONS OF INJECTIVE MODULES OVER DOMAINS

Hu, Kui (College of Science Southwest University of Science and Technology)
Lim, Jung Wook (Department of Mathematics Kyungpook National University)
Zhou, De Chuan (College of Science Southwest University of Science and Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.57, no.4, 2020 , pp. 1075-1081 More about this Journal

Abstract

Let R be a domain. It is proved that R is coherent when IFD(R) ⩽ 1, and R is Noetherian when IPD(R) ⩽ 1. Consequently, R is a G-Prüfer domain if and only if IFD(R) ⩽ 1, if and only if wG-gldim(R) ⩽ 1; and R is a G-Dedekind domain if and only if IPD(R) ⩽ 1.

Keywords

wG-gldim(R); G- $Pr{\ddot{u}}fer$ domain; IFD(R); IPD(R);

Citations & Related Records

Reference

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