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 | Size | Format | |
|---|---|---|---|---|
| Vector valued hyperstructures.pdf | 428.18 kB | Adobe PDF |  View/Open |
Page view(s)
109
checked on Apr 24, 2024
Download(s)
22
checked on Apr 24, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.