Existence of non-associative algebraic hyper-structures and related problems.
type: Item
instance of: scholarly article
title: Existence of non-associative algebraic hyper-structures and related problems.
zbMATH Open document ID: 1333.20071
author: Faisal Yousafzai
author: Kostaq Hila
author: P. Corsini
author: Anwar Zeb
published in: Afrika Matematika
publication date: 2015-09-23T00:00:00Z
review text: A left almost semigroup (\(\mathcal{LA}\)-semigroup) is a groupoid \(S\) whose elements satisfy the following law \((ab)c=(cb)a\) for all \(a,b,c\in S\). Hila and Dine generalized this concept to algebraic hyperstructures and introduced the notion of \(\mathcal{LA}\)-semihypergroups. In this paper, the authors show that a non-associative \(\mathcal{LA}\)-semihypergroup exists even if it has right identity. Also, congruence relations and homomorphisms between \(\mathcal{LA}\)-semihypergroups are studied.
reviewed by: Bijan Davvaz
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20N02
Mathematics Subject Classification ID: 20M99
zbMATH DE Number: 6484539
zbMATH Keywords: left almost semigroups
zbMATH Keywords: hyperstructures
zbMATH Keywords: LA-semihypergroups
zbMATH Keywords: pure left identity
zbMATH Keywords: hyperhomomorphisms
zbMATH Keywords: hypercongruences
MaRDI profile type: Publication
full work available at URL: s13370-014-0259-6
OpenAlex ID: W2036818495
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DOI: 10.1007/S13370-014-0259-6
description: scientific article; zbMATH DE number 6484539