호남수학학술지 (Honam Mathematical Journal)

  • 제46권4호
  • /
  • Pages.650-656
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  • 2024
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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⊕-ESSENTIAL SUPPLEMENTED MODULES

  • Celil Nebiyev (Department of Mathematics, Ondokuz Mayis University) ;
  • Hasan Huseyin Okten (Technical Sciences Vocational School, Amasya University)
  • 투고 : 2024.05.25
  • 심사 : 2024.07.26
  • 발행 : 2024.12.20
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초록

In this work ⊕ - e-supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕-e-supplemented modules is also ⊕-e-supplemented. Let M be a distributive and ⊕-e-supplemented R-module. Then every factor module and homomorphic image of M are ⊕ - e-supplemented. Let M be a ⊕ - e-supplemented R-module with SSP property. Then every direct summand of M is ⊕ - e-supplemented.

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과제정보

This research was in part supported by grants from Ondokuz Mayis University (Project No: PYO.EGF.1901.19.002).

참고문헌

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