{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T18:19:42Z","timestamp":1773253182490,"version":"3.50.1"},"reference-count":0,"publisher":"National Library of Serbia","issue":"14","license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/publicdomain\/zero\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Filomat"],"published-print":{"date-parts":[[2020]]},"abstract":"<jats:p>We prove that special clean decompositions of a given element of a ring are\n   in one-to-one correspondence with the set of solutions of a simple equation\n   in a corner ring. We then derive ?constructive? proofs that in many rings,\n   regular elements are special clean by solving this equation in specific\n   cases. Other applications, such as uniqueness of decompositions, are given.\n   Many examples of special clean decompositions of 2-2 matrices found by this\n   methodology are also presented.<\/jats:p>","DOI":"10.2298\/fil2014847m","type":"journal-article","created":{"date-parts":[[2021,4,2]],"date-time":"2021-04-02T14:02:25Z","timestamp":1617372145000},"page":"4847-4860","source":"Crossref","is-referenced-by-count":5,"title":["Characterizations of special clean elements and applications"],"prefix":"10.2298","volume":"34","author":[{"given":"Xavier","family":"Mary","sequence":"first","affiliation":[{"name":"Laboratoire Modal\u2019X, Universit\u00e9 Paris Nanterre, France"}]},{"given":"Pedro","family":"Patr\u00edcio","sequence":"additional","affiliation":[{"name":"CMAT - Centro de Matem\u00e1tica and Departamento de Matem\u00e1tica, Universidade do Minho, Portugal"}]}],"member":"1078","container-title":["Filomat"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T08:16:00Z","timestamp":1685348160000},"score":1,"resource":{"primary":{"URL":"https:\/\/doiserbia.nb.rs\/Article.aspx?ID=0354-51802014847M"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"references-count":0,"journal-issue":{"issue":"14","published-print":{"date-parts":[[2020]]}},"URL":"https:\/\/doi.org\/10.2298\/fil2014847m","relation":{},"ISSN":["0354-5180","2406-0933"],"issn-type":[{"value":"0354-5180","type":"print"},{"value":"2406-0933","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]}}}