본문 바로가기
KERD
논문KCI 등재

Intra-regular and weakly regular ordered ternary semigroups

Shahida Bashir|Xiankun Du
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제13권 제4호|pp. 539-551|DOI 10.30948/afmi.2017.13.4.539

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

RegularFuzzy idealOrdered ternary semigroupWeakly regularIntra-regularQuasi-idealBi-ideal

초록

In this paper we characterize regular and weakly regular, intra-regular and weakly regular, regular and intra-regular ordered ternary semigroups in terms of fuzzy ideals, respectively.

Abstract

In this paper we characterize regular and weakly regular, intra-regular and weakly regular, regular and intra-regular ordered ternary semigroups in terms of fuzzy ideals, respectively.

참고문헌 (36)

  1. S. Bashir, "On weakly regular fuzzy ordered ternary semigroups", Appl. Math. Inf. Sci, 10(6), pp.1~8 (2016)
  2. R. Chinram, "Fuzzy ideals and fuzzy filters of ordered ternary semigroups", J. Math. Res, 2(1), pp.9~97 (2010)
  3. A. H. Clifford, "The algebraic theory of semigroups. Vol. I" (1961), Amer. Math. Soc
  4. Vanita Rohit Daddi, "On Ordered Ternary Semigroups", Kyungpook Mathematical Journal, 52(4), pp.375~381 (2012), 경북대학교 자연과학대학 수학과
  5. T. K. Dutta, "On ideals in regular ternary semigroups, Discuss", Discuss. Math. Gen. Algebra Appl, 28, pp.147~159 (2008)
  6. R. B. Feizullaer, "Ternary semigroup locally homeomorphic mapping", Dokl. Akad. Nauk. USSR, 252(5), pp.1063~1065 (1980)
  7. Aiyared Iampan, "Characterizing the minimality and maximality of ordered lateral ideals in ordered ternary semigroups", 대한수학회지, 46(4), pp.775~784 (2009), 대한수학회
  8. A. Iampan, "On ordered ideal extensions of ordered ternary semigroups", Lobachevskii J. Math, 31(1), pp.13~17 (2010)
  9. Y. B. Jun, "On ordered filters of implicative semigroups", Semigroup Forum, 54, pp.75~82 (1997)
  10. S. Kar, "Fuzzy quasi-ideals and fuzzy bi-ideals of ternary semigroup", Ann. Fuzzy Math. Inform, 2(4), pp.407~423 (2012)
  11. S. Kar, "Fuzzy ideals of ternary semigroup", Fuzzy Inform. Eng, 2, pp.181~193 (2012)
  12. N. Kehayopulu, "On weakly prime ideals of ordered semigroups", Semigroup Forum, 44, pp.341~346 (1992)
  13. N. Kehayopulu, "On intra-regular ordered semigroups", Semigroup Forum, 46, pp.271~278 (1993)
  14. N. Kehayopulu, "Fuzzy sets in ordered semigroup s", Semigroup Forum, 65, pp.128~132 (2002)
  15. N. Kehayopulu, "The embedding of an ordered semigroup into a poe-semigroup in terms of fuzzy sets", Inform Sci, 152, pp.231~236 (2003)
  16. N. Kehayopulu, "Regular ordered semigroups in terms of fuzzy subsets", Inform. Sci, 176, pp.3675~3693 (2006)
  17. N. Kehayopulu, "Intra-regular ordered semigroups in terms of fuzzy sets", Lobachevskii J. Math, 30(1), pp.23~29 (2009)
  18. N. Kehayopulu, "Left quasi-regular and intra-regular ordered semigroups using fuzzy ideals", Quasigroups Related Systems, 20(2), pp.239~249 (2012)
  19. H. K. Kim, "Ternary semigroup associative on each pair of factor", Simon Stevin, 54, pp.65~74 (1980)
  20. N. Kuroki, "Fuzzy bi-ideals in semigroups", Comment. Math. Univ. St. Pauli, 28, pp.17~21 (1979)
  21. N. Kuroki, "On fuzzy ideals and fuzzy bi-ideals in semigroups", Fuzzy Sets and Systems, 5, pp.203~215 (1981)
  22. N. Kuroki, "On fuzzy semigroups", Inform. Sci, 53, pp.203~236 (1991)
  23. N. Kuroki, "Fuzzy generalized bi-ideals in semigroups", Inform. Sci, 66, pp.235~243 (1992)
  24. N. Kuroki, "Fuzzy semiprime quasi-ideals in semigroups", Inform. Sci, 75, pp.201~211 (1993)
  25. S. Lekkoksung, "On intra-regular ordered ternary semigroup", Int. J Math. Analysis, 6(2), pp.69~73 (2012)
  26. N. Lekkoksung, "Characterizations of regular ordered ternary semigroups in terms of fuzzy subsets", Southeast-Asian J. Sci, 2(2), pp.141~153 (2013)
  27. N. Lekkoksung, "On right weakly regular ordered ternary semigroup", Quasigroups related systems, 22, pp.257~266 (2014)
  28. E. S. Lyapin, "Realization of ternary semigroups in binary semigroups. Modern algebra", pp.1981
  29. M. Shabir, "Prime bi-ideals in ternary semigroup", Quasigroups related systems, 16, pp.239~256 (2008)
  30. M. Shabir, "Characterizations of ordered semigroups by the properties of their fuzzy generalized bi-ideals", New Math. Nat. Comput, 4(2), pp.237~250 (2008)
  31. M. Shabir, "Characterizations of ordered semigroups by the properties of their fuzzy ideals", Comput. Math. Appl, 59, pp.539~549 (2010)
  32. M. Shabir, "On fuzzy ordered semigroups", Inform. Sci, 274, pp.236~248 (2014)
  33. F. M. Sioson, "On regular algebraic systems", Proc. Japan. Acad. Ser. A Math. Sci, 39, pp.283~286 (1963)
  34. J. Tang, "Some characterizations of left weakly regular ordered semigroups", Commun. Math. Res, 27(3), pp.253~267 (2011)
  35. J. Tang, "Characterizations of regular ordered semigroups by generalized fuzzy ideals", J. Intell. Fuzzy Systems, 26(1), pp.239~252 (2014)
  36. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

Quasi-interior ideals and fuzzy quasi-interior ideals of semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제2호On interval valued fuzzy quasi-ideals of semigroupsN. Thillaigovindan, V. Chinnadurai영남수학회 · East Asian Mathematical Journal2009 · 제25권 제4호Characterization of regular semigroup by (∈, ∈∨(k*, q_k))-fuzzy idealsKhaista Rahman, Muhammad Sajjad Ali Khan, Saleem Abdullah, Syed Zaheer Abbas기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제3호On Ordered Ternary SemigroupsVanita Rohit Daddi, Yashashree Shivajirao Pawar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호Bi-interior ideals and Fuzzy bi-interior ideals of Γ-semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제1호T-fuzzy ideals in ordered Γ-semiringsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호

이 간행물의 다른 논문 (8건)

Rough sets in neutrosophic approximation spaceC. Antony Crispin Sweety, I. Arockiaranipp. 449-463Fuzzy orbit* continuous mappingsM. K. Uma, R. Malathipp. 465-474Reduction of an intuitionistic fuzzy matrix to fuzzy matrix with some algebraic propertiesS. Sriram, T. Muthurajipp. 475-483Transitive and strongly transitive intuitionistic fuzzy matricesMadhumangal Pal, Rajkumar Pradhanpp. 485-498Soft single point space and soft metrizableOrhan Gocurpp. 499-507
원문 보기