Extension of G-Algebras to SuperHyper G-Algebras
Keywords:
: (m, n)-superhyperoperation, (m, n)-superhyperalgebra, (m, n)-superhyper G-algebra.Abstract
The theory of superhyperalgebras is a new concept in the study of all branches of algebra structures.
In this paper, we introduce a novel concept of (m, n)-superhyper G-algebra and present several results from the
study of certain properties of (m, n)-superhyper G-algebras. The purpose of this paper is the study an extension
of G-algebras to (m, n)-superhyper G-algebras, as a generalization of a logic algebra. The main motivation of
this work was obtained based on an extension of G-algebra to superhyper G-algebra based on the n
th-power
set of a set.
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