Smarandache n-Structure on CI-Algebras

Abstract

In this paper, the notions of CI-algebras, Smarandache CI-algebra, Q-Smarandache filters and Q-Smarandache ideals are intro- duced. We show that a nonempty subset F of a CI-algebra X is a Q-Smarandache filter if and only if A(x,y) ⊆ F ,w hichA(x,y )i s a Q-Smarandache upper set. Finally, we introduced the concepts of Sma- randache BE-algebra, Smarandache dual BCK-algebra and Smarandache n-structure on CI-algebra. Mathematics Subject Classification (2010). Primary 06F35; Secondary 03G25.