A Note on the Connection between Ordered Semihyperrings
The notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/11/2035 |
| _version_ | 1797508388490313728 |
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| author | Zheng Kou Saeed Kosari Mohammadsadegh Monemrad Maryam Akhoundi Saber Omidi |
| author_facet | Zheng Kou Saeed Kosari Mohammadsadegh Monemrad Maryam Akhoundi Saber Omidi |
| author_sort | Zheng Kou |
| collection | DOAJ |
| description | The notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via a regular relation is given. Furthermore, we present the Galois connection between homomorphisms and derivations on an ordered semihyperring. |
| first_indexed | 2024-03-10T05:01:25Z |
| format | Article |
| id | doaj.art-aa5c1b781d8349a3927046ccfde75390 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T05:01:25Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-aa5c1b781d8349a3927046ccfde753902023-11-23T01:43:47ZengMDPI AGSymmetry2073-89942021-10-011311203510.3390/sym13112035A Note on the Connection between Ordered SemihyperringsZheng Kou0Saeed Kosari1Mohammadsadegh Monemrad2Maryam Akhoundi3Saber Omidi4Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, ChinaInstitute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, ChinaInstitute of Mathematics, Hamburg University of Technology, 21073 Hamburg, GermanyClinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol 4717647745, IranDepartment of Education in Tehran, Ministry of Education Iran, Tehran 1511943943, IranThe notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via a regular relation is given. Furthermore, we present the Galois connection between homomorphisms and derivations on an ordered semihyperring.https://www.mdpi.com/2073-8994/13/11/2035ordered semihyperringGalois connectionhomomorphismderivation |
| spellingShingle | Zheng Kou Saeed Kosari Mohammadsadegh Monemrad Maryam Akhoundi Saber Omidi A Note on the Connection between Ordered Semihyperrings Symmetry ordered semihyperring Galois connection homomorphism derivation |
| title | A Note on the Connection between Ordered Semihyperrings |
| title_full | A Note on the Connection between Ordered Semihyperrings |
| title_fullStr | A Note on the Connection between Ordered Semihyperrings |
| title_full_unstemmed | A Note on the Connection between Ordered Semihyperrings |
| title_short | A Note on the Connection between Ordered Semihyperrings |
| title_sort | note on the connection between ordered semihyperrings |
| topic | ordered semihyperring Galois connection homomorphism derivation |
| url | https://www.mdpi.com/2073-8994/13/11/2035 |
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