Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12188/2027
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.
URI: http://hdl.handle.net/20.500.12188/2027
Appears in Collections:Faculty of Natural Sciences and Mathematics: Journal Articles

Files in This Item:
File Description SizeFormat 
Vector valued hyperstructures.pdf428.18 kBAdobe PDFThumbnail
View/Open
Show full item record

Page view(s)

13
checked on Feb 24, 2020

Download(s)

3
checked on Feb 24, 2020

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.