{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T17:39:54Z","timestamp":1776361194293,"version":"3.51.2"},"reference-count":16,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T00:00:00Z","timestamp":1659052800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"VAROPS Czech Republic"},{"name":"KEGA Slovakia"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Ordered semigroups are understood through their subsets. The aim of this article is to study ordered semigroups through some new substructures. In this regard, quasi-filters and (m,n)-quasi-filters of ordered semigroups are introduced as new types of filters. Some properties of the new concepts are investigated, different examples are constructed, and the relations between quasi-filters and quasi-ideals as well as between (m,n)-quasi-filters and (m,n)-quasi-ideals are discussed.<\/jats:p>","DOI":"10.3390\/sym14081564","type":"journal-article","created":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T23:49:27Z","timestamp":1659397767000},"page":"1564","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["On New Filters in Ordered Semigroups"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4243-7935","authenticated-orcid":false,"given":"Madeleine","family":"Al-Tahan","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Abu Dhabi University, Abu Dhabi P.O. Box 15551, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1941-5372","authenticated-orcid":false,"given":"Bijan","family":"Davvaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yazd University, Yazd 89195-741, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3305-2029","authenticated-orcid":false,"given":"Ahsan","family":"Mahboob","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle 517325, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3305-529X","authenticated-orcid":false,"given":"Sarka","family":"Hoskova-Mayerova","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, 662 10 Brno, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2566-2225","authenticated-orcid":false,"given":"Alena","family":"Vagask\u00e1","sequence":"additional","affiliation":[{"name":"Faculty of Manufacturing Technologies with a Seat in Pre\u0161ov, Technical University of Ko\u0161ice, 080 01 Pre\u0161ov, Slovakia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1007\/BF02573174","article-title":"On weakly commutative poe-semigroups","volume":"34","author":"Kehayopulu","year":"1987","journal-title":"Semigroup Forum"},{"key":"ref_2","first-page":"43","article-title":"Left(right)-filters on po-semigroups","volume":"8","author":"Lee","year":"2000","journal-title":"Kangweon-Kyungki Math. 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