On 2-SuperHyperLeftAlmostSemihyp regroups

Abstract

The aim of this paper is to extend the concept of hyperideals to the SuperHyperAlgebras. In this paper, we introduce the concept of 2-SuperHyperLeftAlmostSemihypergroups which is a generalization of LA-semihypergroups. Furthermore, we define and study 2-SuperHyper-LA-subsemihypergroups, SuperHyperLeft(Right)HyperIdeals and SuperHyperHyperIdeals of 2-SuperHyperLeftAlmostSemihypergroups, and related properties are investigated. We give an example to show that in general these two notions are different. Finally, we show that every SuperHyperRightHyperIdeal of 2-SuperHyper-LA-semihypergroup S with pure left identity is SuperHyperHyperIdeal.

Keywords

• superhyperalgebra
• la-subsemihypergroup
• 2-superhyperleftalmostsemihypergroup
• superhyperhyperideals
• superhyperleft(right)hyperideal