Subject: (n,m)-hyperoperation, (n,m)-hypergroupoid, (n,m)-hypersemigroup, (n,m)-hyperquasigroup, (n,m)-hypergroup, regular relation, strongly regular relation.
Year: 2018
Type: Article
Title: Vector valued hyperstructures
Author: Miovska, Valentina
Author: Celakoska-Jordanova, Vesna
Author: Davvaz, Bijan
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.
Publisher: Faculty of Science, University of Kragujevac, Kragujevac, Serbia
Relation: Kragujevac Journal of Mathematics
Identifier: oai:repository.ukim.mk:20.500.12188/2027
Identifier: http://hdl.handle.net/20.500.12188/2027
