{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:30:23Z","timestamp":1753882223528,"version":"3.41.2"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p> In this paper, we introduced the notion of hyper [Formula: see text]-algebras as a generalization of [Formula: see text]-algebras. We studied basic properties of them and investigated the relationship among hyper [Formula: see text]-algebras and some other hyper logical algebras such as hyper ([Formula: see text],BCI) BCK-algebras and hyper hoops. In the following, we defined the notions of (weak) hyper ideals in hyper [Formula: see text]-algebras and then by considering the congruence relation (relative to a hyper ideal) on the hyper [Formula: see text]-algebra, we constructed the quotient hyper [Formula: see text]-algebras and investigated some properties of them. <\/jats:p>","DOI":"10.1142\/s1793830924500058","type":"journal-article","created":{"date-parts":[[2024,2,19]],"date-time":"2024-02-19T04:19:45Z","timestamp":1708316385000},"source":"Crossref","is-referenced-by-count":0,"title":["Hyper L-algebras"],"prefix":"10.1142","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1064-4139","authenticated-orcid":false,"given":"S.","family":"Niazian","sequence":"first","affiliation":[{"name":"Faculty of Medicine, Tehran Medical Sciences, Islamic Azad University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5234-2876","authenticated-orcid":false,"given":"M.","family":"Aaly Kologani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hatef Higher Education Institute, Zahedan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7538-7885","authenticated-orcid":false,"given":"R. A.","family":"Borzooei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,2,16]]},"reference":[{"issue":"3","key":"S1793830924500058BIB001","first-page":"31","volume":"1","author":"Borzooei R. A.","year":"2020","journal-title":"J. algebr. hyperstrucres log. algebr."},{"key":"S1793830924500058BIB002","first-page":"9","volume":"11","author":"Borzooei R. A.","year":"2004","journal-title":"Quasigr. Relat. Syst."},{"key":"S1793830924500058BIB003","first-page":"29","volume":"21","author":"Borzooei R. A.","year":"2013","journal-title":"Quasigr. Relat. Syst."},{"key":"S1793830924500058BIB004","first-page":"179","volume":"22","author":"Borzooei R. A.","year":"2014","journal-title":"Quasigr. Relat. Syst."},{"key":"S1793830924500058BIB005","first-page":"3","volume":"2","author":"Borzooei R. A.","year":"2016","journal-title":"Annal. West. Univ. Timisoara - Math. Comput. Sci."},{"key":"S1793830924500058BIB006","first-page":"67","volume":"30","author":"Borzooei R. A.","year":"2016","journal-title":"Ratio Math."},{"key":"S1793830924500058BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3714-1"},{"key":"S1793830924500058BIB008","first-page":"45","volume-title":"The 8th Cong. Mathematics","author":"Marty F.","year":"1934"},{"issue":"1","key":"S1793830924500058BIB009","first-page":"47","volume":"2","author":"Niazian S.","year":"2021","journal-title":"J. algebr. hyperstrucres log. algebr."},{"key":"S1793830924500058BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2004.03.019"},{"key":"S1793830924500058BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2008.05.033"},{"key":"S1793830924500058BIB012","doi-asserted-by":"publisher","DOI":"10.1515\/jgth-2016-0037"},{"key":"S1793830924500058BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2017.04.023"},{"key":"S1793830924500058BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/s11225-017-9726-z"},{"key":"S1793830924500058BIB015","doi-asserted-by":"publisher","DOI":"10.1515\/forum-2017-0108"},{"key":"S1793830924500058BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.jnt.2018.03.004"},{"key":"S1793830924500058BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/s00012-012-0172-5"},{"key":"S1793830924500058BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2018.08.013"},{"key":"S1793830924500058BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-05242-7"},{"issue":"5","key":"S1793830924500058BIB020","first-page":"621","volume":"19","author":"Yang Y. C.","year":"2012","journal-title":"J. Mult. -Valued Log. Soft Comput."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830924500058","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,22]],"date-time":"2025-01-22T00:58:51Z","timestamp":1737507531000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793830924500058"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,16]]},"references-count":20,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2025,1]]}},"alternative-id":["10.1142\/S1793830924500058"],"URL":"https:\/\/doi.org\/10.1142\/s1793830924500058","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2024,2,16]]},"article-number":"2450005"}}