Volume 59 | Number 4 | Year 2018 | Article Id. IJMTT-V59P540 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P540
Motivated by some results on derivations on rings and the generalization of BCK and BCI algebra, in this paper, we define (α, β) derivations on BH-algebras and investigate some important results.
[1] Abdullah M. Al-roqi, On generalized (α, β)- derivations in BCI- algebras J. Appl.Math and Informatics Vol.32 (2014), 27-38.
[2] Imai .Y and Iseki . K, On axiom systems of Propositional Calculi, XIV, Proc.Japan Acad.Ser A, Math Sci., 42(1966), 19-22.
[3] Iseki . K and Tanaka . S, An Introduction to theory of BCK- algebras, Math.Japo., 23(1978), 1-26.
[4] Iseki . K, On BCI-algebras, Math.Seminar Notes, 11(1980),313-320.
[5] Jun . Y. B and Xin . X. L, On derivations of BCI-algebras, Inform.Sci,159(2004),
[6] 167-176.
[7] Jun Y. B, Roh E. H and Kim H. S, On BH -Algebras, Scientiae Mathematicae, 1 (1998), 347-354.
[8] Kamali Ardekani . L and Davvaz . B, On (f, g)- derivations of B-algebras, Matematnykn Bechnk 66, 2(2014), 125-132.
[9] Kandaraj .N and Arul Devi. A, f – Derivations on BP –Algebras, International Journal of Scientific and Research Publications,Volume 6,Issue 10,October 2016,8-18.
[10] Kandaraj . N and Chandramouleeswaran . M, On Left f -derivations of d -algebras, International Journal of Mathematical Archive, 3(6), 2012, 2234-2239.
[11] Kandaraj . N and Chandramouleeswaran . M, F-derivations on d -algebras, Proceedings of the International Conference on Mathematical Modeling and Applied Soft Computing, 1, July 11-13 (2012), 435-444.
M. Rajkumar, Dr.N.Kandaraj, "Composition of (α, β) – Derivations on BH-Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 4, pp. 286-292, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P540