[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b170203

A HOMOLOGICAL CHARACTERIZATION OF KRULL DOMAINS

Wang, Fang Gui (College of Mathematics and Software Science Sichuan Normal University)
Zhou, De Chuan (College of Science Southwest University of Science and Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.2, 2018 , pp. 649-657 More about this Journal

Abstract

Let R be a commutative ring. In this paper, the w-projective Basis Lemma for w-projective modules is given. Then it is shown that for a domain, nonzero w-projective ideals and nonzero w-invertible ideals coincide. As an application, it is proved that R is a Krull domain if and only if every submodule of finitely generated projective modules is w-projective.

Keywords

w-projective module; w-invertible; Krull domain; w-module;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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