Results in Mathematics

, Volume 63, Issue 1, pp 209–219

Smarandache n-Structure on CI-Algebras

Authors

    • Department of MathematicsShahid Bahonar University of Kerman
  • Akbar Rezaei
    • Department of MathematicsPayam Noor University
Article

DOI: 10.1007/s00025-011-0189-7

Cite this article as:
Saeid, A.B. & Rezaei, A. Results. Math. (2013) 63: 209. doi:10.1007/s00025-011-0189-7

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.

Mathematics Subject Classification (2010)

Primary 06F35Secondary 03G25

Keywords

CI-algebrasBE-algebradual BCK-algebraimplication algebraSmarandache CI-algebraSmarandache BE-algebra(Q-Smarandache) Filter(Q-Smarandache) ideal
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