On Hyper ρ/δ-Algebra

Authors

Marwah Abdulridha Kaseb, Ministry of Education, General Directorate of Basrah Education, Basrah, IraqFollow
Zainab Abdulameer Hamzah, Ministry of Education, General Directorate of Basrah Education, Basrah, IraqFollow

Abstract

In this work, new concepts of algebra structures such as hyper algebra, Hyper algebra were defined. These concepts are introduced by using a hyper operation * on is a mapping from to the non-empty power set i.e. , , and defined as and . Let be a hyper structure such that , in hyper structure a hyper order is a relation was defined by , with some properties. Also, some examples to illustrate our notions are given. And the relationship between these concepts is also discussed.

Keywords

Hyper ρ/δ-algebra, hyper ρ/δ-ideal, hyper -ideal, Hyper ρ/δ-subalgebra, ρ/δ-algebra

Article Type

Article

How to Cite this Article

Kaseb, Marwah Abdulridha and Hamzah, Zainab Abdulameer (2024) "On Hyper ρ/δ-Algebra," Baghdad Science Journal: Vol. 21: Iss. 4, Article 8.
DOI: https://doi.org/10.21123/bsj.2023.8279