[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2020.28.4.907

A CHARACTERIZATION OF w-ARTINIAN MODULES

Kwon, Tae In (Department of Mathematics Changwon National University)
Kim, Hwankoo (Division of Computer and Information Engineering Hoseo University)
Zhou, De Chuan (School of Science Southwest University of Science and Technology)

Publication Information

Korean Journal of Mathematics / v.28, no.4, 2020 , pp. 907-913 More about this Journal

Abstract

Let R be a commutative ring with identity and let M be a w-module over R. Denote by ℱM the set of all w-submodules of M such that (M/N)w is w-cofinitely generated. Then it is shown that M is w-Artinian if and only if ℱM is closed under arbitrary intersections, if and only if ℱM satisfies the descending chain condition.

Keywords

w-cofinitely generated; w-Artinian module;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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