378 211
Full Length Article
Volume 5 , Issue 1, PP: 08-15 , 2020

Title

A New Trend to Extensions of CI-algebras

Authors Names :   Florentin Smarandache   1 *     Akbar Rezaei   2     Hee Sik Kim   3  

1  Affiliation :  Department of Mathematics & Sciences, University of New Mexico, Gallup, NM 87301, USA

    Email :  smarand@unm.edu


2  Affiliation :  Department of Mathematics, Payame Noor University, P.O. Box. 19395-3697, Tehran, Iran

    Email :  rezaei@pnu.ac.ir


3  Affiliation :  Department of Mathematics, Hanyang University, Seoul 04763, Korea

    Email :  heekim@hanyang.ac.kr



Doi   :  10.5281/zenodo.3788124


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 AntiCommutative CI-algebras are not BE-algebras.  

Keywords :

CI-algebra , Neutro-CI-algebra , Anti-CI-algebra , Self-distributive , NeutroSelf-distributive , AntiSelf-distributive , Commutative , NeutroCommuative , AntiCommutative.

References :

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