@article{Mahmood_Hussein_2022, title={On hyper Z-algebras }, volume={21}, url={https://rajpub.com/index.php/jam/article/view/9271}, DOI={10.24297/jam.v21i.9271}, abstractNote={<p><span style="font-weight: 400;">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 </span><span style="font-weight: 400;"> </span><span style="font-weight: 400;">(Ṟ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ </span><span style="font-weight: 400;">, </span><span style="font-weight: 400;">Ḉ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ </span><span style="font-weight: 400;">,</span><span style="font-weight: 400;">  Ḓ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ  </span><span style="font-weight: 400;">,</span><span style="font-weight: 400;">   Ṱ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ  </span><span style="font-weight: 400;">,</span><span style="font-weight: 400;">   Ṿ</span><span style="font-weight: 400;">-</span><span style="font-weight: 400;">ḧZ  </span><span style="font-weight: 400;">). 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.</span></p>}, journal={JOURNAL OF ADVANCES IN MATHEMATICS}, author={Mahmood, Sahar Jaafar and Hussein, Dhirgam Allawy}, year={2022}, month={Aug.}, pages={125–133} }