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Study of the dual ideal of KU-algebra | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1099-1107 اصل مقاله (332.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5179 | ||
| نویسندگان | ||
| Qasim Mohsin Luhaib* 1؛ Fatema Faisal Kareem2 | ||
| 1Thi-Qar General Directorate of Education, Ministry of Education, Iraq | ||
| 2Department of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq | ||
| تاریخ دریافت: 12 اسفند 1399، تاریخ بازنگری: 30 فروردین 1400، تاریخ پذیرش: 24 اردیبهشت 1400 | ||
| چکیده | ||
| 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 | ||
| کلیدواژه‌ها | ||
| KU-algebra؛ filter KU-algebra؛ strong filter؛ P-filter | ||
| مراجع | ||
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[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. | ||
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