Vector valued hyperstructures

Ве молиме користете го овој идентификатор да го цитирате или поврзете овој запис: http://hdl.handle.net/20.500.12188/2027

Наслов:	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.
URI:	http://hdl.handle.net/20.500.12188/2027
Appears in Collections:	Faculty of Natural Sciences and Mathematics: Journal Articles