International Journal of Mathematics Trends and Technology
Volume 65 | Issue 12 | Year 2019 | Article Id. IJMTT-V65I12P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I12P515
In this paper, we introduce normal hyperideal and bi-hyperideal in normal hypersemigroups. We study (normal)hypersemigroup and normal regular hypersemigroup based on bi-hyperideal proving some equivalent conditions. In particular, we prove, among the other results, that if I1,I2 are any two normal hyperideals of a hypersemigroup H, then their product I1 • I2 and I2 • I1 are also normal hyperideals of S and I1 • I2 = I2 • I1. We also prove that the minimal normal hyperideal of hypersemigroup H is a hypergroup.
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Abul Basar, Shahnawaz Ali, Poonam Kumar sharma, "An Excursion Through Some Characterizations of Hypersemigroups By Normal Hyperideals," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 12, pp. 142-147, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I12P515
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