Korean Journal of Mathematics

  • 제26권3호
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  • Pages.373-385
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  • 2018
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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FUZZY HOMOMORPHISM THEOREMS ON GROUPS

  • 투고 : 2018.02.26
  • 심사 : 2018.06.27
  • 발행 : 2018.09.30
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초록

In this paper we introduce the notion of a fuzzy kernel of a fuzzy homomorphism on groups and we show that it is a fuzzy normal subgroup of the domain group. Conversely, we also prove that any fuzzy normal subgroup is a fuzzy kernel of some fuzzy epimorphism, namely the canonical fuzzy epimorphism. Finally, we formulate and prove the fuzzy version of the fundamental theorem of homomorphism and those isomorphism theorems.

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참고문헌

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피인용 문헌

  1. L-fuzzy cosets in universal algebras vol.71, pp.3, 2021, https://doi.org/10.1515/ms-2021-0005