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Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semirings

Marapureddy Murali Krishna Rao
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2019.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제18권 제1호|pp. 31-43|DOI 10.30948/afmi.2019.18.1.31

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참고문헌

키워드

Γ-semiringSemiringΓ-regular semiring

초록

In this paper, we introduce the notion of quasi-interior ideal and fuzzy quasi-interior ideal of $\Gamma$-semiring and we characterize the regular $\Gamma$-semiring in terms of fuzzy quasi-interior ideal of $\Gamma$-semiring.

Abstract

In this paper, we introduce the notion of quasi-interior ideal and fuzzy quasi-interior ideal of $\Gamma$-semiring and we characterize the regular $\Gamma$-semiring in terms of fuzzy quasi-interior ideal of $\Gamma$-semiring.

참고문헌 (33)

  1. P. J. Allen, "A fundamental theorem of homomorphism for semirings", Proc. Amer. Math. Sco, 21, pp.412~416 (1969)
  2. R. A. Good, "Associated groups for a semigroup", Bull. Amer. Math. Soc, 58, pp.624~625 (1952)
  3. M. Henriksen, "Ideals in semirings with commutative addition", Amer. Math. Soc. Notices, 5, pp.321~ (1958)
  4. K. Iseki, "Quasi-ideals in semirings without zero", Proc. Japan Acad, 34, pp.79~84 (1958)
  5. K. Iseki, ", Ideal theory of semiring", Proc. Japan Acad, 32, pp.554~559 (1956)
  6. K. Iseki, "Ideal in semirings", Proc. Japan Acad, 34, pp.29~31 (1958)
  7. R. D. Jagatap, "Quasi-ideals and minimal quasi-ideals in Γ-semirings", Novi Sad J. Math, 39(2), pp.79~87 (2009)
  8. N. Kuroki, "On fuzzy semigroups", Inform. Sc, 53(3), pp.203~236 (1991)
  9. S. Lajos, "On the bi-ideals in semigroups", Proc. Japan Acad, 45, pp.710~712 (1969)
  10. S. Lajos, "On the bi-ideals in associative ring", Proc. Japan Acad, 46, pp.505~507 (1970)
  11. D. Mandal, "Fuzzy ideals and fuzzy interior ideals in ordered semirings", Fuzzy info. and Engg, 6, pp.101~114 (2014)
  12. M. Murali Krishna Rao, "Γ-semirings-I", Southeast Asian Bull. Math, 19(1), pp.49~54 (1995)
  13. M. Murali Krishna Rao, "Γ -semiring-II", Southeast Asian Bulletin of Mathematics, 21(3), pp.281~287 (1997)
  14. M. Murali Krishna Rao, "The Jacobson radical of Γ -semiring", South eastAsian Bulletin of Mathematics, 23, pp.127~134 (1999)
  15. Marapureddy Murali Krishna Rao, "On \b{Γ}-semiring with identity", Discussiones Mathematicae - General Algebra and Applications, 37(2), pp.189~ (2017), Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora[DOI]
  16. M. Murali Krishna Rao, "Bi-quasi-ideals and fuzzy bi-quasi ideals of Γ -semigroups", Bull. Int. Math. Virtual Inst, 7(2), pp.231~242 (2017)
  17. Marapureddy Murali Krishna Rao, "Ideals in ordered Γ-semirings", Discussiones Mathematicae - General Algebra and Applications, 38(1), pp.47~ (2018), Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora[DOI]
  18. Marapureddy Murali Krishna Rao, "Ideals in ordered Γ-semirings", Discussiones Mathematicae - General Algebra and Applications, 38(1), pp.47~ (2018), Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora[DOI]
  19. Marapureddy Murali Krishna Rao, "Ideals in ordered Γ-semirings", Discussiones Mathematicae - General Algebra and Applications, 38(1), pp.47~ (2018), Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora[DOI]
  20. M. Murali Krishna Rao, "A study of generalization of bi- ideal, quasi- ideal and interior ideal of semigroup", Mathematica Morovica, 22(2), pp.103~115 (2018)
  21. M. Murali Krishna Rao, "A study of bi-quasi-interior ideal as a new generalization of ideal of generalization of semiring", Bull. Int. Math. Virtual Inst, 8, pp.519~535 (2018)
  22. M. Murali Krishna Rao, "Left bi-quasi ideals of semirings", Bull. Int. Math. Virtual Inst, 8, pp.45~53 (2018)[DOI]
  23. Marapureddy Murali Krishna Rao, "T-fuzzy ideals in ordered Γ-semirings", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 13(2), pp.253~276 (2017), 기초자연과학연구소[DOI]
  24. M. Murali Krishna Rao, "Fuzzy left and right bi-quasl ideals of semirings", Bulletin Of The International Mathematical Virtual Institute, 8(3), pp.449~460 (2018)
  25. M. Murali Krishna Rao, "Regular Γ-incline and field Γ -semiring", Novi Sad J. of Math, 45(2), pp.155~171 (2015)
  26. M. Murali Krishna Rao, "Left bi-quasi-ideals of Γ-semirings", Asia Paci c Journal of Mathematics, 4(2), pp.144~153 (2017)
  27. M. Murali Krishna Rao, "On fuzzy $k-$ideals, $k-$fuzzy ideals and fuzzy $2-$prime ideals in $\Gamma -$semirings", Journal of Applied Mathematics and Informatics, 34(5), pp.405~419 (2016), 한국전산응용수학회
  28. N. Nobusawa, "On a generalization of the ring theory", Osaka. J.Math, 1, pp.81~89 (1964)
  29. A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
  30. M. K. Sen, "On Γ-semigroup", Proc. of International Conference of algebra and its application, pp.301~308 (1981), Decker Publicaiton
  31. O. Steinfeld, "Uher die quasi ideals", Von halbgruppend Publ. Math. Debrecen, 4, pp.262~275 (1956)
  32. H. S. Vandiver, "Note on a simple type of algebra in which cancellation law of addition does not hold", Bull. Amer. Math. Soc, 40, pp.914~920 (1934)
  33. L. A. Zadeh, "Fuzzy sets", Information and control, 8, pp.338~353 (1965)

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