International Journal of Nonlinear Analysis and Applications

Study of the dual ideal of KU-algebra

Document Type : Research Paper

Authors

1 Thi-Qar General Directorate of Education, Ministry of Education, Iraq

2 Department of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq

Abstract

In this work, we apply the notion of a filter of a KU-Algebra and investigate several properties. The paper defined some filters such as strong filter, n-fold filter and P-filter and discussed a few theorems and examples

Keywords

[1] W. A. Dudek and Y. B. Jun. On multiplicative fuzzy BCC-algebras, Journal of Fuzzy Mathematics, 4 (2005) 929.
[2] C. S. Hoo, Filters and ideals in BCI-algebra, Math Japonica, 36 (1991) 987-997.
[3] Imai, Yasuyuki, and K. Iski. On axiom systems of propositional calculi, I. Proceedings of the Japan Academy, 6 (1965) 436-439.
[4] K. Iseki, An algebra related with propositional calculus, Proc. Japan Acad. SerA. Math. Sci., 42 (1966) 26-29.
[5] Mostafa, Samy M., and Fatema F. Kareem, Fuzzy n-fold KU-ideals of KU-algebras, Ann. Fuzzy Math. Inform, 6 (2014) 987-1000.
[6] Prabpayak, Chanwit, and U. Leerawat, On ideals and congruences in KU-algebras, Sci. Magna, 1 (2009) 54-57.
[7] Prabpayak, Chanwit, and U. Leerawat, On isomorphisms of KU-algebras, Scientia Magna journal, 3 (2009) 25-31.
International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 1099-1107
  • Receive Date: 02 March 2021
  • Revise Date: 19 April 2021
  • Accept Date: 14 May 2021