Volume 66 | Issue 2 | Year 2020 | Article Id. IJMTT-V66I2P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I2P505

In this paper, we introduce completely normal hyperideal and bi-hyperideal in normal hypersemigroups. We prove that a hypersemigroup H is completely regular if and only if every bi-hyperideal of H is semiprime. Then, we prove that the center of a normal regular hypersemigroup is regular. We also prove several equivalent conditions connecting normal hypersemigroups, idempotent hypersemigroups, completely regular and viable hypersemigroups.

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Abul Basar, Poonam Kumar Sharma, "A Walk Through Completely Normal Bihyperideals in Hypersemi groups," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 66, no. 2, pp. 42-48, 2020. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V66I2P505