Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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Fδ-SUPPLEMENTED MODULES

  • Received : 2019.05.14
  • Accepted : 2020.04.17
  • Published : 2020.06.25
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Abstract

In this article, we define a (an amply) Fδ-supplemented module in category of R-Mod. The general properties of Fδ-supplemented modules are briefly discussed. Then, concentrating on the Fδ-small submodule, we find the necessary and sufficient condition for Fδ- supplemented modules. Also, we introduce ascending chain condition for Fδ-small submodules of any module and establish a basic theorem for amply Fδ-supplemented modules by using π-projectivity.

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References

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