{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:28:36Z","timestamp":1760236116365,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T00:00:00Z","timestamp":1635379200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/sym13112035","type":"journal-article","created":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T23:52:35Z","timestamp":1635465155000},"page":"2035","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Note on the Connection between Ordered Semihyperrings"],"prefix":"10.3390","volume":"13","author":[{"given":"Zheng","family":"Kou","sequence":"first","affiliation":[{"name":"Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saeed","family":"Kosari","sequence":"additional","affiliation":[{"name":"Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammadsadegh","family":"Monemrad","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Hamburg University of Technology, 21073 Hamburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maryam","family":"Akhoundi","sequence":"additional","affiliation":[{"name":"Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol 4717647745, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saber","family":"Omidi","sequence":"additional","affiliation":[{"name":"Department of Education in Tehran, Ministry of Education Iran, Tehran 1511943943, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1223","DOI":"10.2298\/FIL2004223R","article-title":"Galois connection of stabilizers in residuated lattices","volume":"34","author":"Rasouli","year":"2020","journal-title":"Filomat"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Denecke, K., Ern\u00e9, M., and Wismath, S.L. 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