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

Ramises G. Manzano, Jr., Gaudencio C. Petalcorin, Jr.

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.

Keywords

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

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