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Some types of Smarandache filters of a Smarandache BH-algebra | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3929-3935 اصل مقاله (353.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6192 | ||
| نویسندگان | ||
| Qasim Mohsin Luhaib* 1؛ Husein Hadi Abbass2 | ||
| 1Thi-Qar General Directorate of Education, Ministry of Education, Iraq | ||
| 2Department of Mathematics, Faculty of Education for Girls, University of Kufa Najaf, Iraq | ||
| تاریخ دریافت: 31 تیر 1400، تاریخ بازنگری: 29 مرداد 1400، تاریخ پذیرش: 08 آذر 1400 | ||
| چکیده | ||
| In this paper, the notions of a Smarandache p-filter, a Smarandache $n$-fold $p$-filter, Smarandache $q$-filter, a Smarandache-$n$-fold $q$-filter of a Smarandache BH-Algebra are introduced. Some properties of them with some theorems, proportions and examples are given. | ||
| کلیدواژه‌ها | ||
| BCK-algebra؛ BH-algebra؛ Smarandache filter | ||
| مراجع | ||
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[1] H.H. Abbass and H. A. Dahham, A Competiy Closed Ideal of a BG- Algebra, First Edition Scholar’s Press, Germany, 2016. [2] H.H. Abbass and A.A. Hamza, On U-BG-Filter and Ideal of a U-BG-BH- Algebra, M.Sc thesis, Kufa University, 2017. [3] H.H. Abbass and Q. M. Luhaib, On Smarandache Filter of a Smarandache BH-Algebra, J. Phys. Conf. Ser. 1234(1) (2019) 12099. [4] H. Bordbar, Y. B. Jun, and S.-Z. Song, Homomorphic image and inverse image of weak closure operations on ideals of BCK-algebras, Math. 8(4) (2020) 567. [5] Y. Imai and K. Is´eki, On Axiom System of Propositional Calculi XIV, Proc. Japan Acad. 42 (1966) 19–20. [6] K. Iseki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966) 26–29. [7] C.S. Hoo, Filters and ideals in BCI-algebra, Math. Japonica 36 (1991) 987–997. [8] Q.P. Hu and X. Li, On BCH algebras, Sem. Notes Kobi Univ, 11(2) (1983) 313320. [9] Y.B. Jun, Smarandache BCC-algebras, Int. J. Math. Math. Sci. 18 (2005) 2855–2861. [10] Y.B. Jun, E.H. Roh and H.S. Kim, On BH-algebras, Sci, Math. Japonicae 1(1) (1998) 347–354. [11] Q. M. Luhaib and Hu. H. Abbass, On a Smarandache closed and completely filter of a Smarandache BH-algebra, IOP Conf. Ser. Mater. Sci. Engin. 928 (2020) 042017. | ||
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