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p-semisimple neutrosophic quadruple BCI-algebras and neutrosophic quadruple p-ideals

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1Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia2Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea

* Corresponding Author: G. Muhiuddin. Email: chishtygm@gmail.com

Annals of Communications in Mathematics 2018, 1 (1), 26-37. https://doi.org/10.62072/acm.2018.010103

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Abstract

Characterizations of neutrosophic quadruple BCI-algebra are considered. Conditions for the neutrosophic quadruple BCI-set to be a p-semisimple BCI-algebra are provided. A condition for a subalgebra to be an ideal in neutrosophic quadruple BCIalgebra is given. Conditions for the set NQ(A, B) to be a neutrosophic quadruple closed ideal and neutrosophic quadruple p-ideal are discussed. Characterizations of neutrosophic quadruple p-ideal are considered.

Keywords

neutrosophic quadruple (closed) ideal; Neutrosophic quadruple BCK/BCI-number; neutrosophic quadruple BCK/BCIalgebra; neutrosophic quadruple p-ideal

Cite This Article

G. Muhiuddin, Y. B. Jun.

p-semisimple neutrosophic quadruple BCI-algebras and neutrosophic quadruple p-ideals.

Annals of Communications in Mathematics

2018,

1 (1):

26-37.

https://doi.org/10.62072/acm.2018.010103

Copyright © 2018 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).