On weak Γ-(semi)hypergroups

In this paper, we introduce the classes of weak-(semi)hypergroups as a generalization of the class of -(semi)hypergroups and complementable weak -(semi)hypergroups. We show that every non-cover weak -complete hypergroup is complementable -hypergroup. Moreover, the associated semihypergroup from weak...

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Bibliographic Details
Published inCogent mathematics Vol. 4; no. 1; p. 1290192
Main Authors Zare, T., Jafarpour, M., Aghabozorgi, H.
Format Journal Article
LanguageEnglish
Published Abingdon Cogent 01.01.2017
Taylor & Francis Ltd
Subjects
(semi)hypergroup
20N20
complementable (semi)hypergroup
Homomorphisms
weak
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Summary:In this paper, we introduce the classes of weak-(semi)hypergroups as a generalization of the class of -(semi)hypergroups and complementable weak -(semi)hypergroups. We show that every non-cover weak -complete hypergroup is complementable -hypergroup. Moreover, the associated semihypergroup from weak -(semi)hypergroups and homomorphism of weak -(semi)hypergroups are investigated.
ISSN:2331-1835
2331-1835
2768-4830
DOI:10.1080/23311835.2017.1290192