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Title: Vector valued hyperstructures
Authors: Miovska, Valentina 
Celakoska-Jordanova, Vesna
Davvaz, Bijan
Keywords: (n,m)-hyperoperation, (n,m)-hypergroupoid, (n,m)-hypersemigroup, (n,m)-hyperquasigroup, (n,m)-hypergroup, regular relation, strongly regular relation.
Issue Date: 2018
Publisher: Faculty of Science, University of Kragujevac, Kragujevac, Serbia
Journal: Kragujevac Journal of Mathematics
Abstract: Vector valued hyperstructures, i.e., (n,m)-hyperstructures, where n = m + k, k >= 1, as a generalization of vector valued structures and n-ary hyperstructures are introduced and supported by many examples. We have presented some initial properties about (n,m)-hypersemigroups and (n,m)-hypergroups. Moreover, by properly defining regular and strongly regular binary relations, from vector valued hypersemigroups (hypergroups) we obtain "ordinary" vector valued semigroups (groups) on quotients.
Appears in Collections:Faculty of Natural Sciences and Mathematics: Journal Articles

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