On Γ-CI-Algebras
Keywords:
Γ-CI-algebra, Γ-ideal, Γ-subalgebra, upper set, CI-algebra.Abstract
The purpose of this paper is to introduce the notion of a Γ-CI-algebras, we study Γ-ideals, Γ-subalgebras and upper sets in Γ-CI-algebras. Some characterizations of Γ-ideals and Γ-subalgebras are obtained. Moreover, we investigate relationships between Γ-ideals, Γ-subalgebras and upper sets 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.
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.