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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 4 | Year 2018 | Article Id. IJMTT-V59P540 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P540

Composition of (α, β) – Derivations on BH-Algebras


M. Rajkumar, Dr.N.Kandaraj
Abstract

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.

Keywords
BH-Algebras, Derivations on BH-Algebras, (α, β)-derivations on BH-Algebras.
References

[1] Abdullah M. Al-roqi, On generalized (α, β)- derivations in BCI- algebras J. Appl.Math and Informatics Vol.32 (2014), 27-38.
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[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.

Citation :

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

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