On hyper Z-algebras


  • 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




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


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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How to Cite

Mahmood, S. J. ., & Hussein, D. A. . (2022). On hyper Z-algebras . JOURNAL OF ADVANCES IN MATHEMATICS, 21, 125–133. https://doi.org/10.24297/jam.v21i.9271