{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:11:41Z","timestamp":1777705901680,"version":"3.51.4"},"reference-count":36,"publisher":"SAGE Publications","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2022,4,28]]},"abstract":"<jats:p>\u00a0The notions of hybrid ideals and k-hybrid ideals in a ternary semiring are introduced in this paper, and a substantial amount of effort has been made to study some of their features. In terms of characteristic function, we show some properties of k-hybrid ideals and give some characterizations of hybrid intersection with respect to these k-hybrid ideals. Finally, results based on a k-hybrid ideal\u2019s homomorphic hybrid preimage are provided. With respect to k-hybrid ideals, we give certain characterizations of hybrid intersection.<\/jats:p>","DOI":"10.3233\/jifs-212311","type":"journal-article","created":{"date-parts":[[2022,1,14]],"date-time":"2022-01-14T11:32:01Z","timestamp":1642159921000},"page":"5799-5807","source":"Crossref","is-referenced-by-count":10,"title":["Properties of k-hybrid ideals in ternary semiring"],"prefix":"10.1177","volume":"42","author":[{"given":"G.","family":"Muhiuddin","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia"}]},{"given":"J.","family":"Catherine Grace John","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, India"}]},{"given":"B.","family":"Elavarasan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, India"}]},{"given":"K.","family":"Porselvi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, India"}]},{"given":"D.","family":"Al-Kadi","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistic, College of Science, Taif University, Taif, Saudi Arabia"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-212311_ref1","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1007\/s00500-007-0256-x","article-title":"Intuitionistic fuzzy left k-ideals of semirings","volume":"12","author":"Akram","year":"2008","journal-title":"Soft Comput"},{"key":"10.3233\/JIFS-212311_ref2","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0165-0114(92)90325-X","article-title":"On fuzzy rings","volume":"49","author":"Dixit","year":"1992","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-212311_ref3","first-page":"143","article-title":"A note on quasi k-ideals and bi-ideals in ternary semirings","volume":"28","author":"Dubey","year":"2011","journal-title":"Ital. 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