Some types of Smarandache filters of a Smarandache BH-algebra

Document Type : Research Paper


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

2 Department of Mathematics, Faculty of Education for Girls, University of Kufa Najaf, Iraq


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.    


[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,
[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 weakclosure 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. Is´eki, 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.
Volume 13, Issue 1
March 2022
Pages 3929-3935
  • Receive Date: 22 July 2021
  • Revise Date: 20 August 2021
  • Accept Date: 29 November 2021