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.

Keywords

• be algebra
• hyper be algebra
• superhyper be algebra
• generalized operation