Extension of G-Algebras to SuperHyper G-Algebras

Authors

  • Marzieh Rahmati Department of Mathematics, University of Payame Noor, Tehran, Iran. P.O. Box 19395-4697.
  • Mohammad Hamidi Department of Mathematics, University of Payame Noor, Tehran, Iran. P.O. Box 19395-4697.

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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Published

2023-05-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Marzieh Rahmati, & Mohammad Hamidi. (2023). Extension of G-Algebras to SuperHyper G-Algebras. Neutrosophic Sets and Systems, 55, 557-567. http://fs.unm.edu/nss8/index.php/111/article/view/3209