On hyperideals in left almost semihypergroups.
type: Item
instance of: scholarly article
title: On hyperideals in left almost semihypergroups.
zbMATH Open document ID: 1227.20065
DOI: 10.5402/2011/953124
author: Kostaq Hila
author: Jani Dine
published in: ISRN Algebra
publication date: 2011-10-28T00:00:00Z
review text: Summary: This paper deals with a class of algebraic hyperstructures called left almost semihypergroups (LA-semihypergroups), which are a generalization of LA-semigroups and semihypergroups. We introduce the notion of LA-semihypergroup, the related notions of hyperideal, bi-hyperideal, and some properties of them are investigated. It is a useful nonassociative algebraic hyperstructure, midway between a hypergroupoid and a commutative hypersemigroup, with wide applications in the theory of flocks, and so forth. We define the topological space and study the topological structure of LA-semihypergroups using hyperideal theory. The topological spaces formation guarantee for the preservation of finite intersection and arbitrary union between the set of hyperideals and the open subsets of resultant topologies.
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20M99
Mathematics Subject Classification ID: 22A30
zbMATH DE Number: 5964875
zbMATH Keywords: left almost semihypergroups
zbMATH Keywords: LA-semihypergroups
zbMATH Keywords: hyperideals
zbMATH Keywords: hypergroupoids
zbMATH Keywords: topological spaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/953124
OpenAlex ID: W2129989425
Wikidata QID: Q58690184
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description: scientific article; zbMATH DE number 5964875