Journal of applied mathematics & informatics

  • 제41권4호
  • /
  • Pages.697-705
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  • 2023
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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IRRESOLUTE TOPOLOGICAL RING WITH INHERENT PROPERTIES

  • 투고 : 2021.12.06
  • 심사 : 2023.05.04
  • 발행 : 2023.07.30
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초록

We studied new notions of analogues of topological rings. Salih [10] acquaints us with the notion of irresolute topological ring in 2018. In this paper, we further studied the space closely and characterized indispensable properties of the space. We prove that every open subset of an irresolute topological ring is irresolute topological ring. We also obtained the equivalent condition of neighborhood of an element in an irresolute topological ring. It is proved that ring homeomorphism of an irresolute topological ring is irresolute if it is irresolute at identity element e in the irresolute topological ring 𝓡.

키워드

과제정보

The authors are thankful to the reviewers for valuable suggestion to improve the manuscript.

참고문헌

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