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Fuzzy soft quasi-interior ideals of Γ-semirings
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In this paper, we introduce the notion of quasi-interior ideal and fuzzy soft quasi-interior ideal of $\Gamma$-semiring and we characterize the regular $\Gamma$-semiring in terms of fuzzy soft quasi-interior ideal of $\Gamma$-semiring.
Abstract
In this paper, we introduce the notion of quasi-interior ideal and fuzzy soft quasi-interior ideal of $\Gamma$-semiring and we characterize the regular $\Gamma$-semiring in terms of fuzzy soft quasi-interior ideal of $\Gamma$-semiring.
참고문헌 (30)
- H. S. Vandiver, "Note on a simple type of algebra in which cancellation law of addition does not hold", Bull. Amer. Math. Soc.(N.S), 40, pp.914~920 (1934)
- M. Murali Krishna Rao, "Γ-semirings-I", Southeast Asian Bull. Math, 19(1), pp.49~54 (1995)
- M. Murali Krishna Rao, "Γ-semirings-II", Southeast Asian Bulletin of Mathematics, 21(3), pp.281~287 (1997)
- M. Murali Krishna Rao, "The Jacobson radical of Γ-semiring", South east Asian Bulletin of Mathematics, 23, pp.127~134 (1999)
- R. A. Good, "Associated groups for a semigroup", Bull. Amer. Math. Soc, 58, pp.624~625 (1952)
- S. Lajos, "On the bi-ideals in semigroups", Proc. Japan Acad, 45, pp.710~712 (1969)
- S. Lajos, "On the bi-ideals in associative ring", Proc. Japan Acad, 46, pp.505~507 (1970)
- O. Steinfeld, "Uher die quasi ideals", Von halbgruppend Publ. Math. Debrecen, 4, pp.262~275 (1956)
- K. Iseki, "Quasi-ideals in semirings without zero", Proc. Japan Acad, 34, pp.79~84 (1958)
- K. Iseki, "Ideal theory of semiring", Proc. Japan Acad, 32, pp.554~559 (1956)
- K. Iseki, "Ideal in semirings", Proc. Japan Acad, 34, pp.29~31 (1958)
- M. Henriksen, "Ideals in semirings with commutative addition", Amer. Math. Soc. Notices, 5, pp.321~ (1958)
- R. D. Jagatap, "Quasi-ideals and minimal quasi-ideals in Γ-semirings", Novi Sad J. Math, 39(2), pp.79~87 (2009)
- M. Murali Krishna Rao, "Γ-semiring with identity", Discussiones Mathematicae General Algebra and Applications, 37, pp.189~2071 (2017)
- M. Murali Krishna Rao, "Ideals in ordered Γ-semirings", Discussiones Mathematicae General Algebra and Applications, 38, pp.47~68 (2018)
- M. Murali Krishna Rao, "bi-interior Ideals in semigroups", Discussiones Mathematicae General Algebra and Applications, 38, pp.69~78 (2018)
- 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]
- M. Murali Krishna Rao, "Left bi-quasi ideals of semirings", Bull. Int. Math. Virtual Inst, 8, pp.45~53 (2018)
- 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)
- M. Murali Krishna Rao, "Left bi-quasi-ideals of Γ-semirings", Asia Pacific Journal of Mathematics, 4(2), pp.144~153 (2017)
- L. A. Zadeh, "Fuzzy sets", Information and control, 8, pp.338~353 (1965)
- U. M. Swamy, "Fuzzy prime ideals of rings", Jour. Math. Anal. Appl, 134, pp.94~103 (1988)
- W. J. Liu, "Fuzzy invariant subgroups and fuzzy ideals", Fuzzy sets and Systems, 8, pp.133~139 (1982)
- D. Mandal, "Fuzzy ideals and fuzzy interior ideals in ordered semirings", Fuzzy info. and Engg, 6, pp.101~114 (2014)
- M. Murali Krishna Rao, "Fuzzy soft Γ-semiring and fuzzy soft k ideal over Γ-semiring", Ann. Fuzzy Math. Inform, 9(2), pp.12~25 (2015)
- Y. B. Jun, "Concave soft sets, Critical Soft Points and union-soft ideals of ordered semigroups", The Sci. World J, 2014, pp.11~ (2014)
- G. Muhiuddin, "Intersectional soft sets theory applied to generalized hypervector spaces", Ana. Stii. ale Univ. Ovid. Cons. -Seria Math, 28(3), pp.171~191 (2020)
- G. Muhiuddin, "Int-soft ideals over the soft sets in ordered semigroups", AIMS Mathematics, 5(3), pp.2412~2423 (2020)
- G. Muhiuddin, "Subalgebras of BCK", BCI-algebras based on cubic soft sets, 2014, pp.2014, 9~
- N. Kuroki, "On fuzzy semigroups", Inform Sci, 53(3), pp.203~236 (1991)
관련 논문AI추천
Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semiringsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제1호Fuzzy (soft) tri-quasi ideals of $\Gamma$-semiringsMarapureddy Murali Krishna Rao, Noorbhasha Rafi, Rajendra Kumar Kona기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제27권 제2호Fuzzy bi-quasi interior ideals of Γ-semiringsMarapureddy Murali Krishna Rao, Rajendra Kumar Kona기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제30권 제1호T-fuzzy ideals in ordered Γ-semiringsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호Tri-ideals and fuzzy tri-ideals of $\Gamma$-semiringsM. Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제2호
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