A New Trend to Extensions of CI-algebras

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International Journal of Neutrosophic Science 5 (1):8-15 (2020)
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Abstract

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 Anti-Commutative CI-algebras are not BE-algebras.

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Florentin Smarandache
University of New Mexico

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