논문KCI 등재
Bi-interior ideals and Fuzzy bi-interior ideals of Γ-semigroups
2
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
In this paper, we introduce the notion of a bi-interior ideal, fuzzy bi-interior ideal of Γ-semigroup and study the properties of bi-interior ideals, minimal bi-interior ideal and fuzzy bi-interior ideal. We characterize the (fuzzy)bi-interior ideal of Γ-semigroup and regular Γ-semigroup in terms of (fuzzy) bi-interior ideal of Γ-semigroup.
Abstract
In this paper, we introduce the notion of a bi-interior ideal, fuzzy bi-interior ideal of Γ-semigroup and study the properties of bi-interior ideals, minimal bi-interior ideal and fuzzy bi-interior ideal. We characterize the (fuzzy)bi-interior ideal of Γ-semigroup and regular Γ-semigroup in terms of (fuzzy) bi-interior ideal of Γ-semigroup.
참고문헌 (16)
- M. Murali Krishna Rao, "bi-interior Ideals in semigroups", Discussiones Mathematicae General Algebra and Applications, 38, pp.69~78 (2018)
- 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", Math. Debrecen, 4, pp.262~275 (1956), Von halbgruppend Publ
- K. Iseki, "Ideal theory of semgroup", Proc. Japan Acad, 32, pp.554~559 (1956)
- K. Iseki, "Ideal in semgroups", Proc. Japan Acad, 34, pp.29~31 (1958)
- M. Henriksen, "Ideals in semgroups with commutative addition", Amer. Math. Soc. Notices, 5, pp.321~ (1958)
- A. M. Shabir, "A note on quasi ideal in semgroups", Southeast Asian Bull. Math, 7, pp.923~928 (2004)
- 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)
- L. A. Zadeh, "Fuzzy sets", Information and control, 8, pp.338~353 (1965)
- A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
- N. Kuroki, "On fuzzy semigroups", Inform. Sci, 53, pp.203~236 (1991)
- M.Murali Krishna Rao, "Ideals in ordered Γ-semirings", Discussiones Mathematicae General Algebra and Applications, 38, pp.47~68 (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, "Γ-semirings-I", Southeast Asian Bull. Math, 19(1), pp.49~54 (1995)
관련 논문AI추천
Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제2호Quasi-interior ideals and fuzzy quasi-interior ideals of semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제2호Fuzzy bi-quasi interior ideals of Γ-semiringsMarapureddy Murali Krishna Rao, Rajendra Kumar Kona기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제30권 제1호Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semiringsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제1호Fuzzy soft quasi-interior ideals of Γ-semiringsM. Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호T-fuzzy ideals in ordered Γ-semiringsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호
이 간행물의 다른 논문 (6건)
Chlodowsky type (λ, q)-Bernstein Stancu operator of rough triple sequence space of fuzzy numbersAyhan Esi, Nagarajan Subramanian, M. Kemal Ozdemirpp. 1-15The (m, n)-fuzzy set and its application in BCK-algebras허걸, 전영배pp. 17-29Triangular shaped type-2 fuzzy numbers: Application to type-2 fuzzy differential equationsKimiaki Shinkai, Norihiro Someyama, Hiroaki Uesu, Shuya Kanagawapp. 31-54(ᾶ, α)-crossing cubic QS-ideal of QS-algebra이정곤, 허걸, Samy M. Mostafa, Christeen Karam Sorour Ebid, 전영배pp. 55-73Some results on operator semigroups of a Γ-semigroup in terms of fuzzy subsetsJohnson Aderemi Awolola, Musa Adeku Ibrahimpp. 75-84