On hyper Z-algebras

Sahar Jaafar  Mahmood; Dhirgam Allawy  Hussein

doi:10.24297/jam.v21i.9271

Authors

Sahar Jaafar Mahmood Department of Multimedia, College of Computer Science and Information Technology, University of AlQadisiyah, P.O. Box 88, Al Diwaniyah, Al-Qadisiyah, Iraq, sahar.jaafar@qu.edu.iq.
Dhirgam Allawy Hussein Directorate of Education in Al-Qadisiyah , Diwaniyah , Iraq, dhirgam.allawy@qu.edu.iq

DOI:

https://doi.org/10.24297/jam.v21i.9271

Keywords:

hyperZ- homomorphism, strong hyper Z-ideal , weak hyper Z-ideal, hyper Z-subalgebra, hyper Z-algebra, Z-algebra

Abstract

This study introduces the concept of hyperZ-algebra and investigates its features. In addition, we establish and prove a number of theorems about the relation between (Ṟ-ḧZ , Ḉ-ḧZ , Ḓ-ḧZ , Ṱ-ḧZ , Ṿ-ḧZ ). Moreover, we explain the hyper subalgebra ,a weakhyper Z-ideal and a stronghyper Z-ideal, as well as their relationship. Finally, the hyperhomomorphism Z-algebra is constructed and the isomorphism theorems are examined.

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