On Derived Superhyper BE-Algebras

Abstract

Florentin Smarandache, introduced a creative idea named superhyper algebras as a popularization
of algebras, via the nested power sets, superhyper operation, and superhyper axiom. This paper used the
significance of superhyper BEsubalgebras as a popularization of BE subalgebras and investigated attributes of
this pioneer significance in logic algebra. We prove that every BE algebras can be extended to a superhyper
BE subalgebra and show how a superhyper BE algebra is a popularization of a hyper BE algebra and a
BE algebra. The identity element in superhyper BE algebras acts a main designation in the form, attribute,
analysis, and communication of other elements in these types of superhyper logic algebras.