A Walk Through Completely Normal Bihyperideals in Hypersemi groups

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2020 by IJMTT Journal
Volume-66 Issue-2
Year of Publication : 2020
Authors : Abul Basar, Poonam Kumar Sharma
  10.14445/22315373/IJMTT-V66I2P505

MLA

MLA Style:Abul Basar, Poonam Kumar Sharma   "A Walk Through Completely Normal Bihyperideals in Hypersemi groups" International Journal of Mathematics Trends and Technology 66.2 (2020):42-48. 

APA Style: Abul Basar, Poonam Kumar Sharma(2020).A Walk Through Completely Normal Bihyperideals in Hypersemi groups International Journal of Mathematics Trends and Technology, 42-48.

Abstract
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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Keywords
hypersemigroup, normal hyperideal, bi-hyperideal.