On a Psеuԁo Smarandache Ideals of BH-algebra
About this article
Abstract
In this paper the notion of a pseudo Samarandache BH-algebra, a psҽuԁo Samarandache ideal, a psҽudo Smarandache closed ideal and a psҽudo Samarandache completely closed ideal of a pseudo Samarandache BH-algebra are defined. There notion are stadied. The relationships among these types of ideals are discussed.
Keywords
- BCK-algebra
- BH-algebra
- ideal of BH-algebra
- a Smarandache of BH-algebra
- a pseudo BH-algebra
- apseudo ideal of a pseudo BH-algebra
- a pseudo closed ideal of a pseudo BH-algebra
- a pseudo completely closed ideal of a pseudo BH-algebra
- a pseudo Smaranda
References
[1] Abbass HH & Nouri AH, “On some types of pseudo ideals of a pseudo BH-Algebra”, Applied Mathematical Sciences, Vol.11, No.43, (2017), pp.2113-2120.
[2] Abass HH & Dahham HB, “Some types of Fuzzy Ideals with Respect to An Element of a BH-Algebra”, Journal of Kerbala University, Vol. 10, No. 3, (2012), pp.302-312.
[3] Abass HH & Saeed HMA, The Fuzzy closed ideal with Respect To An Element of a BH-Algebra, M.S.c thesis, Kufa University, (2011).
[4] Abass HH & Mohammed SJ, “On a Q-Smarandache Completely Closed Ideals with Respect to an Element of a Smarandache BH-Algebra”, Journal of Kerbala University, Vol.11, No.3, (2013).
[5] Jun YB, “Smarandache BCI-Algebras”, Scientiac Mathematicae, (2005), pp. 271–276 271.
[6] Jun YB, Roh EH & Kim HS, “On BH-algebras”, Scientiae Mathematicae, Vol.1, No.1, (1998), pp.347–354.
[7] Jun YB & Ahn SS, “On psеuԁo BH-algebras”, Honam Mathematical J., Vol.37, No.2, (2015), pp.207-219.
[8] Imai Y & ISEKI K, “On Axiom System of Propositional Calculi XIV”, Proc. Japan Acad., Vol.42, (1966), pp.19-20.