On Factorizable Semihypergroups
In this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups, hypergroups, regular hypergroups, and polygr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/7/1064 |
| _version_ | 1797563559586037760 |
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| author | Dariush Heidari Irina Cristea |
| author_facet | Dariush Heidari Irina Cristea |
| author_sort | Dariush Heidari |
| collection | DOAJ |
| description | In this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups, hypergroups, regular hypergroups, and polygroups and investigate their factorization property. |
| first_indexed | 2024-03-10T18:44:20Z |
| format | Article |
| id | doaj.art-31cd98ec10df47efaaebb91f2691c63c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:44:20Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-31cd98ec10df47efaaebb91f2691c63c2023-11-20T05:33:52ZengMDPI AGMathematics2227-73902020-07-0187106410.3390/math8071064On Factorizable SemihypergroupsDariush Heidari0Irina Cristea1Faculty of Science, Mahallat Institute of Higher Education, Mahallat 37811-51958, IranCentre for Information Technologies and Applied Mathematics, University of Nova Gorica, Vipavska cesta 13, 5000 Nova Gorica, SloveniaIn this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups, hypergroups, regular hypergroups, and polygroups and investigate their factorization property.https://www.mdpi.com/2227-7390/8/7/1064semihypergroupfactorizationregular semihypergrouppolygroup |
| spellingShingle | Dariush Heidari Irina Cristea On Factorizable Semihypergroups Mathematics semihypergroup factorization regular semihypergroup polygroup |
| title | On Factorizable Semihypergroups |
| title_full | On Factorizable Semihypergroups |
| title_fullStr | On Factorizable Semihypergroups |
| title_full_unstemmed | On Factorizable Semihypergroups |
| title_short | On Factorizable Semihypergroups |
| title_sort | on factorizable semihypergroups |
| topic | semihypergroup factorization regular semihypergroup polygroup |
| url | https://www.mdpi.com/2227-7390/8/7/1064 |
| work_keys_str_mv | AT dariushheidari onfactorizablesemihypergroups AT irinacristea onfactorizablesemihypergroups |