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

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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

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