, Volume 63, Issue 1-2, pp 209-219
Date: 17 Aug 2011

Smarandache n-Structure on CI-Algebras

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Abstract

In this paper, the notions of CI-algebras, Smarandache CI-algebra, Q-Smarandache filters and Q-Smarandache ideals are introduced. We show that a nonempty subset F of a CI-algebra X is a Q-Smarandache filter if and only if \({A(x,y) \subseteq F}\) , which A(x, y) is a Q-Smarandache upper set. Finally, we introduced the concepts of Smarandache BE-algebra, Smarandache dual BCK-algebra and Smarandache n-structure on CI-algebra.