1 Affiliation : Department of Mathematics & Sciences, University of New Mexico, Gallup, NM 87301, USA
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2 Affiliation : Department of Mathematics, Payame Noor University, P.O. Box. 19395-3697, Tehran, Iran
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3 Affiliation : Department of Mathematics, Hanyang University, Seoul 04763, Korea
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In this paper, as an extension of CI-algebras, we discuss the new notions of Neutro-CI-algebras and Anti-CI-algebras. First, some examples are given to show that these definitions are different. We prove that any proper CI-algebra is a Neutro-BE-algebra or Anti-BE-algebra. Also, we show that any NeutroSelf-distributive and AntiCommutative CI-algebras are not BE-algebras.
CI-algebra , Neutro-CI-algebra , Anti-CI-algebra , Self-distributive , NeutroSelf-distributive , AntiSelf-distributive , Commutative , NeutroCommuative , AntiCommutative.
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