Title of article :
Neutrosophic quadruple BCI-commutative ideals
Author/Authors :
Rezaei, G.R. Department of Mathematics - University of Sistan and Baluchestan, Zahedan, Iran , Borzouei, R.A. Department of Mathematics - Shahid Beheshti University, Tehran, Iran , Bae Jun, Young Department of Mathematics Education - Gyeong sang National university, Chinju, Korea
Abstract :
The notion of a neutrosophic quadruple BCI-commutative ideal in a neutrosophic quadruple BCI-algebra is introduced, and several properties are investigated. Relations between a neutrosophic quadruple ideal and a neutrosophic quadruple BCI-commutative ideal are discussed, and conditions for the neutrosophic quadruple ideal to be a neutrosophic quadruple BCI-commutative ideal are given. Conditions for the neutrosophic quadruple set to be a neutrosophic quadruple BCI-commutative ideal are provided, and the extension property of a neutrosophic quadruple BCI-commutative ideal is considered.
Keywords :
Neutrosophic quadruple BCK/BCI-number , neutrosophic quadruple BCK/BCI-algebra , neutrosophic quadruple (closed) ideal
Journal title :
Journal of Algebraic Structures and Their Applications