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Some equivalent conditions are obtained for a hybrid structure to be a [Formula: see text]-hybrid left [Formula: see text]-ideal, and it is proved that every imaginable [Formula: see text]-hybrid left [Formula: see text]-ideal of hemiring is a hybrid left [Formula: see text]-ideal, but not conversely by an example. <\/jats:p>","DOI":"10.1142\/s1793830923500775","type":"journal-article","created":{"date-parts":[[2023,8,31]],"date-time":"2023-08-31T05:36:07Z","timestamp":1693460167000},"source":"Crossref","is-referenced-by-count":0,"title":["Hybrid norm structures applied to hemirings"],"prefix":"10.1142","volume":"16","author":[{"given":"V.","family":"Keerthika","sequence":"first","affiliation":[{"name":"Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore 641114, Tamilnadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G.","family":"Muhiuddin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Tabuk, P.O. 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