On Varieties of Pseudo Hyper GR-ideals of Pseudo Hyper GR-algebras

Authors

  • Ramises G. Manzano, Jr. Mindanao State University - Iligan Institute of Technology
  • Gaudencio C. Petalcorin, Jr. Mindanao State University - Iligan Institute of Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3431

Keywords:

hyper GR-algebras, pseudo hyper GR-algebras, pseudo hyper GR-ideals

Abstract

This study is based on the structure of pseudo hyper GR-algebra, an
algebra that is partially related on some class of hyper BCI-algebras.
This allows us to create a new structure and how this two algebras
are related to each other. A pseudo hyper GR-algebra involves two
hyper operations and a set of axioms that come in pairs or a combina-
tion of both making it interesting like some algebras established. This
paper focuses on some properties of pseudo hyper GR-algebras and its
ideals. Moreover, pseudo hyper GR-ideals were dened and classied to
determine their relationship to each other.

Author Biographies

  • Ramises G. Manzano, Jr., Mindanao State University - Iligan Institute of Technology
    Mathematics Department, Assistant Professor 1
  • Gaudencio C. Petalcorin, Jr., Mindanao State University - Iligan Institute of Technology
    Mathematics Department, Professor 6

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Published

2019-07-25

Issue

Vol. 12 No. 3: (July 2019)

Section

Nonlinear Analysis

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How to Cite

On Varieties of Pseudo Hyper GR-ideals of Pseudo Hyper GR-algebras. (2019). European Journal of Pure and Applied Mathematics, 12(3), 821-833. https://doi.org/10.29020/nybg.ejpam.v12i3.3431