Crossed modules of hypergroups associated with generalized actions

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dc.contributor.authorAlp, Murat
dc.contributor.authorDavvaz, Bijan
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2016
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this article, by using the notion of generalized action, we introduce the concept of crossed module of hypergroups, in the sense of Marty, and its related structures from the light of crossed polymodules. Hyper-groups in the sense of Marty are more different than polygroups since they have not identity element or inverse element in general. Examples of crossed modules of hypergroups are originally presented. These examples illustrate the structure and behavior of crossed modules of hypergroups. Moreover, we obtain a crossed module in the sense of Whitehead from a crossed module of hypergroups by applying the notion of fundamental relation.
dc.identifier.doi10.15672/HJMS.20164513095
dc.identifier.endpage673
dc.identifier.issn1303-5010
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84978647167
dc.identifier.scopusqualityQ3
dc.identifier.startpage663
dc.identifier.trdizinid209057
dc.identifier.urihttps://dx.doi.org/10.15672/HJMS.20164513095
dc.identifier.urihttps://hdl.handle.net/11480/3636
dc.identifier.volume45
dc.identifier.wosWOS:000384774500002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherHACETTEPE UNIV, FAC SCI
dc.relation.ispartofHACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectaction
dc.subjectcrossed module
dc.subjecthypergroup
dc.subjectfundamental relation
dc.titleCrossed modules of hypergroups associated with generalized actions
dc.typeArticle

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