Some Basic Properties of Γ-Q-Algebra


  • Pairote Yiarayong
  • Phakakorn Panpho


Γ-Q-algebra, Γ-ideal, Γ-subalgebra, upper set, Q-algebra


The purpose of this paper is to introduce the notion of a Γ-Q-algebras, we study Γ -ideals, -subalgebras and upper sets in Γ- Q-algebras. Some characterizations of Γ-ideals and Γ-subalgebras are obtained. Moreover, we investigate relationships between Γ-ideals, Γs-ubalgebras and upper sets inΓ-Q-algebras.


Ahn S. S., Kim H. S., “On Qs-algebrasâ€, J. Chungcheong Math. Soc., vol. 12, 1-7, 1999.

Borumand Saeid A., “CI-algebra is equivalent to dual Q-algebraâ€, Journal of the Egyptian Mathematical Society, vol. 21, 1-2, 2013.

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 Japonicae, vol. 30, 659-661, 1985.

Iseki K., Tanaka S., “An introduction to theory of BCK-algebras, Math Japonicaeâ€, vol. 23, 1-20, 1978.

Iseki K., “On BCI-algebrasâ€, Math. Seminar Notes, vol. 8, 125-130, 1980.

Lee S. M., Kim K. H., “On right fixed maps of Q-algebrasâ€, International Mathematical Forum, vol. 6, no. 1, 31 - 37, 2011.

Neggers J., Ahn S. S., Kim H. S., “On Q-algebrasâ€, Int. J. Math. Sci., vol. 27, no. 12, 749-757, 2001.

Samy M. Mostafa, Mokhtar A. Abdel Naby and Osama R. Elgendy, “Fuzzy Q-ideals in Q-algebrasâ€, World Applied Programming, vol 2, no 2, 69-80, 2012.




How to Cite

Yiarayong, P., & Panpho, P. (2015). Some Basic Properties of Γ-Q-Algebra. Asian Journal of Applied Sciences, 3(2). Retrieved from




Most read articles by the same author(s)

1 2 > >>