Article

Results in Mathematics

, Volume 63, Issue 1, pp 209-219

Smarandache n-Structure on CI-Algebras

  • Arsham Borumand SaeidAffiliated withDepartment of Mathematics, Shahid Bahonar University of Kerman Email author 
  • , Akbar RezaeiAffiliated withDepartment of Mathematics, Payam Noor University

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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.

Mathematics Subject Classification (2010)

Primary 06F35 Secondary 03G25

Keywords

CI-algebras BE-algebra dual BCK-algebra implication algebra Smarandache CI-algebra Smarandache BE-algebra (Q-Smarandache) Filter (Q-Smarandache) ideal