Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2020
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.
Publisher
American Scientific Publishing Group
Publication Title
International Journal of Neutrosophic Science
Volume
5
Issue
1
First Page
8
Last Page
15
Language (ISO)
English
Keywords
CI-algebra, Neutro-CI-algebra, Anti-CI-algebra, Self-distributive, NeutroSelf-distributive, AntiSelfdistributive, Commutative, NeutroCommuative, AntiCommutative
Recommended Citation
Smarandache, Florentin; Akbar Rezaei; and Hee Sik Kim.
"A New Trend to Extensions of CI-algebras."
International Journal of Neutrosophic Science
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.