Breakable Semihypergroups
In this paper, we introduce and characterize the breakable semihypergroups, a natural generalization of breakable semigroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. Then, we present and discuss on an extended version of Rédei’s theorem for semi-symmetric...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2073-8994/11/1/100 |
| _version_ | 1798040726637903872 |
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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 introduce and characterize the breakable semihypergroups, a natural generalization of breakable semigroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. Then, we present and discuss on an extended version of Rédei’s theorem for semi-symmetric breakable semihypergroups, proposing a different proof that improves also the theorem in the classical case of breakable semigroups. |
| first_indexed | 2024-04-11T22:11:32Z |
| format | Article |
| id | doaj.art-2f6fae1a16ee46bd9510ac50a645359e |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:11:32Z |
| publishDate | 2019-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2f6fae1a16ee46bd9510ac50a645359e2022-12-22T04:00:32ZengMDPI AGSymmetry2073-89942019-01-0111110010.3390/sym11010100sym11010100Breakable 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 introduce and characterize the breakable semihypergroups, a natural generalization of breakable semigroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. Then, we present and discuss on an extended version of Rédei’s theorem for semi-symmetric breakable semihypergroups, proposing a different proof that improves also the theorem in the classical case of breakable semigroups.http://www.mdpi.com/2073-8994/11/1/100breakable semigroupsemihypergrouphyperidealsemi-symmetry |
| spellingShingle | Dariush Heidari Irina Cristea Breakable Semihypergroups Symmetry breakable semigroup semihypergroup hyperideal semi-symmetry |
| title | Breakable Semihypergroups |
| title_full | Breakable Semihypergroups |
| title_fullStr | Breakable Semihypergroups |
| title_full_unstemmed | Breakable Semihypergroups |
| title_short | Breakable Semihypergroups |
| title_sort | breakable semihypergroups |
| topic | breakable semigroup semihypergroup hyperideal semi-symmetry |
| url | http://www.mdpi.com/2073-8994/11/1/100 |
| work_keys_str_mv | AT dariushheidari breakablesemihypergroups AT irinacristea breakablesemihypergroups |