{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:46:27Z","timestamp":1760147187504,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T00:00:00Z","timestamp":1673827200000},"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 propose the concept of left extension of a hyperideal by generalizing the concept of k-hyperideals in ordered semihyperrings with symmetrical hyper-operation \u2295. By using the notion of extension of a k-hyperideal, we prove some results in ordered semihyperrings. The results of this paper can be viewed as a generalization for k-ideals of semirings.<\/jats:p>","DOI":"10.3390\/sym15010240","type":"journal-article","created":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T03:10:34Z","timestamp":1673838634000},"page":"240","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Study on k-Hyperideals in Ordered Semihyperrings"],"prefix":"10.3390","volume":"15","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":"Mehdi","family":"Gheisari","sequence":"additional","affiliation":[{"name":"Department of Cognitive Computing, Institute of Computer Science and Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saber","family":"Omidi","sequence":"additional","affiliation":[{"name":"Ministry of Education Iran, Department of Education, Tehran 1511943943, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,16]]},"reference":[{"key":"ref_1","first-page":"85","article-title":"On ordered hyperstructures","volume":"73","author":"Heidari","year":"2011","journal-title":"Politehn. 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