1-Hypergroups of Small Sizes
In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete hypergroups or non-complete 1-hypergroups. Furthermore, we classify the 1-hypergroups of size 5 and 6 based on the partition induced by the fundamental relation <inline-formula><math di...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-01-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/9/2/108 |
| Summary: | In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete hypergroups or non-complete 1-hypergroups. Furthermore, we classify the 1-hypergroups of size 5 and 6 based on the partition induced by the fundamental relation <inline-formula><math display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>. Many of these hypergroups can be obtained using the aforesaid hypergroup construction. |
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| ISSN: | 2227-7390 |