Application of ₦- Hyper Set on β−Algebra

Abstract

The concept of ₦-structures was initiated by Jun et al. in 2009. Later, Young Bae Jun extended this concept as ₦-hyper sets and dealt its associated outcomes. In particular, four types of ₦-substructures with relevant properties have been investigated which leads to the introduction of the notion of ₦-hyper [Formula: see text]subalgebra in this study. Further, it was proved that the intersection of two ₦-hyper [Formula: see text]subalgebras is again an ₦-hyper [Formula: see text]subalgebra. In addition to that, the properties based on the homomorphism and Cartesian product were discussed.