134
Views
0
CrossRef citations to date
0
Altmetric
Pure Mathematics

α-fuzzy ideals of C-algebra

, ORCID Icon, , , & | (Reviewing editor:) show all
Article: 2352918 | Received 30 Oct 2023, Accepted 05 May 2024, Published online: 17 May 2024

References

  • Addis, G. M. (2020). Fuzzy prime spectrum of c-algebras. Korean Journal of Mathematics, 28(1), 49–64. https://doi.org/10.11568/kjm.2020.28.1.49
  • Alaba, B. A., & Addis, G. M. (2018). Fuzzy ideals of c- algebras. International Journal of Fuzzy Mathematical Archive, 16(1), 21–31. https://doi.org/10.22457/ijfma.v16n1a4
  • Alaba, B. A., & Alemayehu, T. G. (2018). Closure fuzzy ideals of ms-algebras. Annals of Fuzzy Mathematics and Informatics, 16(2), 247–260. https://doi.org/10.30948/afmi.2018.16.2.247
  • Alaba, B. A., & Alemayehu, T. G. (2019a). E-fuzzy filters of ms-algebras. Korean Journal of Mathematics, 27(4), 1159–1180.
  • Alaba, B. A., & Alemayehu, T. G. (2019b). Fuzzy ideals in demipseudocomplemented ms-algebras. Annals of Fuzzy Mathematics and Informatics, 18(2), 123–143. https://doi.org/10.30948/afmi.2019.18.2.123
  • Alaba, B. A., & Norahun, W. Z. (2019). α-fuzzy ideals and space of prime α-fuzzy ideals in distributive lattices. Annals of Fuzzy Mathematics and Informatics, 17(2), 147–163. https://doi.org/10.30948/afmi.2019.17.2.147
  • Alaba, B. A., Taye, M. A., & Alemayehu, T. G. (2018). δ-fuzzy ideals in ms-algebras. International Journal of Mathematics and Its Applications, 6(2–B), 273–280.
  • Anthony, J., & Sherwood, H. (1979). Fuzzy groups redefined. Journal of Mathematical Analysis and Applications, 69(1), 124–130. https://doi.org/10.1016/0022-247X(79)90182-3
  • Bo, Y., & Wangming, W. (1990). Fuzzy ideals on a distributive lattice. Fuzzy Sets and Systems, 35(2), 231–240. https://doi.org/10.1016/0165-0114(90)90196-D
  • Das, P. S. (1981). Fuzzy groups and level subgroups. Journal of Mathematical Analysis and Applications, 84(1), 264–269. https://doi.org/10.1016/0022-247X(81)90164-5
  • Dixit, V., Kumar, R., & Ajmal, N. (1990). Level subgroups and union of fuzzy subgroups. Fuzzy Sets and Systems, 37(3), 359–371. https://doi.org/10.1016/0165-0114(90)90032-2
  • Dixit, V., Kumar, R., & Ajmal, N. (1991). Fuzzy ideals and fuzzy prime ideals of a ring. Fuzzy Sets and Systems, 44(1), 127–138. https://doi.org/10.1016/0165-0114(91)90038-R
  • Goguen, J. A. (1967). L-fuzzy sets. Journal of Mathematical Analysis and Applications, 18(1), 145–174. https://doi.org/10.1016/0022-247X(67)90189-8
  • Guzman, F., & Squier, C. C. (1990). The algebra of conditional logic. Algebra Universalis, 27(1), 88–110. https://doi.org/10.1007/BF01190256
  • Kalesha Vali, S., Sundarayya, P., & Swamy, U. (2010). Ideals of c-algebras. Asian-European Journal of Mathematics, 3(3), 501–509. https://doi.org/10.1142/S1793557110000374
  • Liu, W.-J. (1982). Fuzzy invariant subgroups and fuzzy ideals. Fuzzy Sets and Systems, 8(2), 133–139. https://doi.org/10.1016/0165-0114(82)90003-3
  • Mukherjee, T., & Sen, M. (1987). On fuzzy ideals of a ring i. Fuzzy Sets and Systems, 21(1), 99–104. https://doi.org/10.1016/0165-0114(87)90155-2
  • Norahun, W. Z., Alemayehu, T. G., Addis, G. M., & Dvorák, A. (2021). Fuzzy annihilator ideals of-algebra. Advances in Fuzzy Systems, 2021, 1–9. https://doi.org/10.1155/2021/4561087
  • Rao, M. S. (2013a). Annulets and α-ideals of c-algebras. Asian-European Journal of Mathematics, 6(4), 1350060. https://doi.org/10.1142/S1793557113500605
  • Rao, M. S. (2013b). On annihilator ideals of c-algebras. Asian-European Journal of Mathematics, 6(1), 1350009. https://doi.org/10.1142/S1793557113500095
  • Rosenfeld, A. (1971). Fuzzy groups. Journal of Mathematical Analysis and Applications, 35(3), 512–517. https://doi.org/10.1016/0022-247X(71)90199-5
  • Swamy, U., & Raju, D. V. (1998). Fuzzy ideals and congruences of lattices. Fuzzy sets and systems, 95(2), 249–253. https://doi.org/10.1016/S0165-0114(96)00310-7
  • Swamy, U., & Swamy, K. (1988). Fuzzy prime ideals of rings. Journal of Mathematical Analysis and Applications, 134(1), 94–103. https://doi.org/10.1016/0022-247X(88)90009-1
  • Vali, S. K., & Swamy, U. (2011). Prime spectrum of a c-algebra. International Journal of Open Problems Computer Math, 4(1), 24–35.
  • Zadeh, L. A. (1965). Fuzzy sets. Information & Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X