{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:05:52Z","timestamp":1760148352038,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,4,24]],"date-time":"2023-04-24T00:00:00Z","timestamp":1682294400000},"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>In this study, we analyze an operator RT of an ordered semihyperring T with symmetrical hyperoperation \u2295 and show relations with the LT operator of T. We define the set ERT(K)={RT(K):\u2205\u2260K\u2286T}. We denote by \u03c4RT(T) the topology generated by ERT(K). We prove that if RT(0)=T, then (T,\u03c4RT(T)) is connected. Some results relating to the hyperatomic ordered semihyperrings and the topology \u03c4RT(T) are discussed.<\/jats:p>","DOI":"10.3390\/sym15050967","type":"journal-article","created":{"date-parts":[[2023,4,24]],"date-time":"2023-04-24T04:01:23Z","timestamp":1682308883000},"page":"967","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Study on Hyperatomic Ordered Semihyperrings"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7859-5409","authenticated-orcid":false,"given":"Hao","family":"Guan","sequence":"first","affiliation":[{"name":"Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China"},{"name":"School of Computer Science of Information Technology, Qiannan Normal University for Nationalities, Duyun 558000, China"}]},{"given":"Behnam","family":"Zahednejad","sequence":"additional","affiliation":[{"name":"Institute of Artificial Intelligence and Blockchain, Guangzhou University, Guangzhou 510006, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1470-7624","authenticated-orcid":false,"given":"Aysha","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Prince Sattam bin Abdulaziz University, Alkharj 11991, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2419-1732","authenticated-orcid":false,"given":"Maryam","family":"Akhoundi","sequence":"additional","affiliation":[{"name":"Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol 4717647745, Iran"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,24]]},"reference":[{"key":"ref_1","unstructured":"Marty, F. 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