Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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τw-LOEWY MODULES AND THEIR APPLICATIONS

  • Kim, Hwankoo (Division of Computer & Information Engineering Hoseo University) ;
  • Lim, Jung Wook (Department of Mathematics Kyungpook National University) ;
  • Zhou, Dechuan (Southwest University of Science and Technology)
  • Received : 2019.01.13
  • Accepted : 2019.02.28
  • Published : 2019.11.30
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Abstract

In this paper, we study a theory for the structure of ${\tau}_w$-Loewy series of modules over commutative rings, where ${\tau}_w$ is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between ${\tau}_w$-Loewy modules and w-Artinian modules.

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Acknowledgement

Supported by : Hoseo University

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