On Γ-CI-Algebras


  • Pairote Yiarayong


Γ-CI-algebra, Γ-ideal, Γ-subalgebra, upper set, CI-algebra.


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.


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.




How to Cite

Yiarayong, P. (2014). On Γ-CI-Algebras. Asian Journal of Applied Sciences, 2(6). Retrieved from https://www.ajouronline.com/index.php/AJAS/article/view/2081

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