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Regular nearness semigroups

M. A. Ozturk|O. Tekin
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제24권 제2호|pp. 159-169|DOI 10.30948/afmi.2022.24.2.159

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키워드

SemigroupsNear setsNearness approximation spacesWeak nearness approximation spacesNearness semigroupsRegular nearness semigroups

초록

This paper concerned with basic concepts and some results on regular semigroup on weak nearness approximation spaces. Also, it is given an example related to the subject.

Abstract

This paper concerned with basic concepts and some results on regular semigroup on weak nearness approximation spaces. Also, it is given an example related to the subject.

참고문헌 (17)

  1. T. Saito, "Regular elements in an ordered semigroup", Pacic J. of Math, 13(1), pp.263~295 (1963)
  2. D. D. Miller, "Regular D-classes in semigroups", Trans. Amer. Math. Soc, 82, pp.270~280 (1956)
  3. J. Von Neumann, "On regular rings", Proc. Natl. Acad. Sci. USA, 22(12), pp.707~713 (1936)
  4. G. Szasz, "Remark on interior ideals of semigroups", Studia Scient. Math. Hung, 16, pp.61~63 (1981)
  5. Z. Pawlak, "Rough sets", Int. J. Comput. Inform. Sci, 11(5), pp.341~356 (1982)
  6. J. F. Peters, "Near sets, General theory about nearness of objects", Appl. Math. Sci, 1(53-56), pp.2609~2629 (2007)
  7. J. F. Peters, "Near sets, Special theory about nearness of objects", Fund. Inform, 75(1-4), pp.407~433 (2007)
  8. J. F. Peters, "Near sets: An introduction", Math. Comput. Sci, 7(1), pp.3~9 (2013)
  9. E. _Inan, "Near semigroups on nearness approximation spaces", Ann. Fuzzy Math. Inform, 10(2), pp.287~297 (2015)
  10. Ö. Tekin, "Quasi ideals of nearness semirings", Cumhuriyet Sci. J, 42(2), pp.333~338 (2021)
  11. Ö. Tekin, "Bi-ideals of nearness semirings", European Journal of Science and Technology, 28, pp.11~15 (2021)
  12. Mehmet Ali Ozturk, "Semiring on weak nearness approximation spaces", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 15(3), pp.227~241 (2018), 기초자연과학연구소[DOI]
  13. M. A. Öztürk, "Gamma semigroups on weak nearness approximation spaces", J. Int. Math. Virtual Inst, 9, pp.53~72 (2019)
  14. M. A. Öztürk, "Prime ideals of gamma semigroups on weak nearness approximation spaces", Asian-Eur. J. Math, 12(5), pp.1950080~ (2019)
  15. J. M . Howie, "Fundamentals of semigroup theory" (1995), Claredon Press
  16. M. A. Öztürk, "Ordered nearness semigroups"
  17. Ö. Tekin, "On Quasi ideals of nearness semigroups", 1st International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (2022)

관련 논문AI추천

Semiring on weak nearness approximation spacesMehmet Ali Ozturk기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제3호Nearness ringsEbubekir Inan, Mehmet Ali Ozturk기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제2호A note on ideals of the nearness hemiringsM. A. Ozturk기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제3호Regular convergence spaces박진원강원경기수학회 · 한국수학논문집2013 · 제21권 제4호(L,*,⊙)-quasiuniform Convergence Spaces induced by OperatorJung Mi Ko, Yong Chan Kim한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제2호Results on Strong Generalized Neighborhood Spaces민원근한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호

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