Abstract
In this paper, we apply the m-polar cubic structures on BCI-algebras. We first present the ideas of m-polar cubic p-ideals, m-polar cubic q-ideals and m-polar cubic a-ideals in BCI-algebras. Then we prove that m-polar cubic p(q and a)-ideals are m-polar cubic ideals, but the converse assertion is not true, and an example is provided in this support. We define the conditions under which m-polar cubic ideals coincide with m-polar cubic p(q and a)-ideals. The associated properties of m-polar cubic p-ideals, m-polar cubic q-ideals, and m-polar cubic a-ideals are also examined. Furthermore, we consider m-polar cubic p(q and a)-ideals in terms of p(q and a)-ideals of BCI-algebras.