Korean Journal of Mathematics

  • 제28권4호
  • /
  • Pages.907-913
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  • 2020
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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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)
  • 투고 : 2020.10.04
  • 심사 : 2020.12.07
  • 발행 : 2020.12.30
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초록

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.

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과제정보

This research was supported by Changwon National University in 2019-2020.

참고문헌

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