Some Basic Properties of Γ-left-right derivation in Γ-CI-Algebras
Keywords:
Γ-CI-algebra, Γ-filter, Γ-self-distributive, Γ-transitive, Γ-self-distributive.Abstract
The purpose of this paper is to introduce the notion of a Γ-CI-algebras, we study Γ-filters, Γ-self-distributives, Γ-transitives, upper sets and Γ-left-right f-derivations in Γ-CI-algebras. Some characterizations of Γ-filters, upper sets and Γ-left-right f-derivations are obtained. Moreover, we investigate relationships between Γ-filters, Γ-self-distributives and Γ-transitives in Γ-CI-algebras.
References
Ahn S.S, Kim Y.H., So K.S., “Fuzzy BE-algebras. Journal of applied mathematics and informaticsâ€, vol. 29, 1049-1057, 2011.
Ahn S.S., So Y.H., “On ideals and upper sets in BE-algebrasâ€, Sci. Math. Jpn. Online e-2008, vol. 2, 279-285, 2008.
Borumand Saeid A., Rezaei A.,“Quotient CI–algebrasâ€, Bulletin of the Transilvania University of Bra¸sov, vol. 5, no. 54, 15-22, 2012.
Hu Q.P., Li X., “On BCH-algebrasâ€, Math.Seminar Notes, vol. 11, 313-320, 1983.
Hu Q. P., Li X., “On proper BCH-algebrasâ€, Math Japonica, vol. 30, 659-661, 1985.
Iseki K., Tanaka S., “An introduction to theory of BCK-algebrasâ€, Math Japonica, vol. 23, 1-20, 1978.
Kim K.H., “A Note on CI-algebrasâ€, International Mathematical Forum, vol. 6, no. 1, 1-5, 2011.
Kim H.S., Kim Y.H., “On BE-Algebrasâ€, Sci. Math. Jpn., vol. 66, no. 1, 1299-1302, 2006.
Meng B.L., “CI–algebraâ€, Sci. Math. Jpn. vol. 71, no. 2, 695-701, 2010.
Neggers J., Ahn S.S., Kim H.S., “On q-algebrasâ€, Int. J. Math. Math. Sci., vol. 27, no. 12, 749-757, 2001.
Piekart B., Andrzej Walendziak A., “On filters and upper sets in CI-algebrasâ€, Algebra and Discrete Mathematics, vol. 11, no. 1, 109-115, 2011.
Yiarayong P., and Panpho P., “On -CI-Algebrasâ€, Asian Journal of Applied Sciences, vol. 2, no. 6, 952-956, 2004.
Downloads
Published
Issue
Section
License
Copyright © The Author(s). This article is published under the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.