Commutative neutrosophic quadruple ideals of neutrosophic quadruple BCK-algebras

Abstract

<span class="fontstyle0">Commutative neutrosophic quadruple ideals and </span><span class="fontstyle2">BCK</span><span class="fontstyle0">algebras are discussed, and related properties are investigated. Conditions for the neutrosophic quadruple </span><span class="fontstyle2">BCK</span><span class="fontstyle0">algebra to be commutative are considered. Given subsets </span><span class="fontstyle2">A </span><span class="fontstyle0">and </span><span class="fontstyle2">B </span><span class="fontstyle0">of a neutrosophic quadruple </span><span class="fontstyle2">BCK</span><span class="fontstyle0">-algebra, conditions for the set </span><span class="fontstyle2">NQ</span><span class="fontstyle0">(</span><span class="fontstyle2">A; B</span><span class="fontstyle0">) to be a commutative ideal of a neutrosophic quadruple </span><span class="fontstyle2">BCK</span><span class="fontstyle0">-algebra are provided.</span> <br /><br />