KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 1

Fuzzy bi-$Gamma$-ideals in $Gamma$-semigroups

Pirince D.R.WİLLİAMS
K. B. LATHA
E. CHANDRASEKERAN
Sayfa
1–15
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, chain conditions relating to fuzzy bi-$Gamma$-ideals of $Gamma$-semigroups are investigated.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we consider the fuzzification of bi-$Gamma$-ideals in $Gamma$-semigroups, and investigate some of their related properties.
📊
Temel Bulgular & Veri:Maximal fuzzy bi-$Gamma$-ideals of $Gamma$-semigroups are introduced and their properties discussed.
💡
Sonuç & Katkı:Finally, chain conditions relating to fuzzy bi-$Gamma$-ideals of $Gamma$-semigroups are investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we consider the fuzzification of bi-$Gamma$-ideals in $Gamma$-semigroups, and investigate some of their related properties. Maximal fuzzy bi-$Gamma$-ideals of $Gamma$-semigroups are introduced and their properties discussed. Finally, chain conditions relating to fuzzy bi-$Gamma$-ideals of $Gamma$-semigroups are investigated.

🔖

Bu Makaleye Atıf Yap

D.R.WİLLİAMS, P., LATHA, K. B., CHANDRASEKERAN, E. (2022). Fuzzy bi-$Gamma$-ideals in $Gamma$-semigroups. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 1, 1–15. https://ajindex.com/articles/530683

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (25)

  1. Anthony, J. M. and Sherwood, H. Fuzzy groups redefined, J.Math. Anal. Appl. 69, 124-130,1979
  2. Barnes, W. E. On the T-rings of Nobusawa, Pacific J. Math. 18, 411-422, 1966
  3. Booth, G. L. A note on F-nearrings, Stud. Sci. Hungarica 23, 471-475, 1988
  4. Chinram R. Generalized transformation semigroups whose sets of quasi-ideals and bi-ideals coincide, Kyungpook Math. J. 45, 161-166, 2005
  5. Chinram, R. and Jirojkul, C. On bi-T-ideals in Y-semigroups, Songklanakarin J. Sci. Technol. 29(1), 231-234, 2007
  6. Das, P. S. Fuzzy groups and level subgroups, J. Math. Anal. Appl. 84, 264 -269, 1981
  7. Dib, K. A. On Fuzzy spaces and Fuzzy group theory, Inform. Sci. 80, 253-282, 1994
  8. Jun, Y. B. and Lee, C.Y. Fuzzy T-rings, Pusan Kyongnam Math. J. (presently, East Asian Math. J.) 8(2), 163-170, 1992
  9. Jun, Y. B., Sapanci, M. and Ozturk, M.A. Fuzzy ideals in gamma near-rings, Tr. J. of Mathematics 22, 449-459, 1998
  10. Kuroki, N. Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Paul. 28, 17-21, 1980
  11. Kuroki, N. On Fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems 5,203-215, 1981
  12. Kyuno, S. On the radicals ofV-rings, Osaka J. Math. 12, 639, 1975
  13. Liu, W. Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and~Systems 8, 133-139,1982
  14. Luh, J. On the theory of simple T-rings, Michigan Math. J. 16, 65, 1969
  15. Mukerjee, N. P. and Bhattacharya, P. Fuzzy groups: some group theoretic analogs, Inform.Sci. 39, 247-268, 1986
  16. Nobusawa, N. On generalization of the ring theory, Osaka J. Math. 1, 81-89, 1964
  17. Ravisankar, T. S. and Shukla, U.S. Structure of T-rings, Pacific J. Math,80(2), 537, 1979
  18. Rosenfeld, A. Fuzzy groups, J. Math. Anal. Appl. 35, 512-517, 1971
  19. Saha, N.K. On T-semigroup-II, Bull. Calcutta Math. Soc. 79(6), 331-335, 1987
  20. Saha, N. K. On T-semigroup-Ill, Bull. Calcutta Math. Soc. 80(1), 1-12, 1988
  21. Satyanarayana, Bh. Contributions to Near-ring Theory (Doctoral Thesis, Nagarjuna University, 1984)
  22. Satyanarayana, Bh. A note on T-Near-rings, Indian J. Mathematics, bf41 (3), 427-433, 1999
  23. Sen, M.K. and Saha, N. K., On T-semigroup-I, Bull. Calcutta Math. Soc. 78(3), 180-186,1986
  24. Uckan, M., Mehmet, A. O. and Jun, Y. B. Intuitionistic fuzzy sets in T-semigroups, Bull. Korean Math. Soc. 44(2), 359-367, 2007
  25. Zadeh, L. A. Fuzzy sets, Information and Control, 8, 338-353, 1965.