{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T23:00:25Z","timestamp":1762210825119},"reference-count":24,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Algebra Appl."],"published-print":{"date-parts":[[2017,3]]},"abstract":"<jats:p> We characterise, in pointed regular categories, the ideals as the zero-classes of surjective relations. Moreover, we study a variation of the Smith is Huq condition: two surjective left split relations commute as soon as their zero-classes commute. <\/jats:p>","DOI":"10.1142\/s0219498817500499","type":"journal-article","created":{"date-parts":[[2016,3,7]],"date-time":"2016-03-07T03:57:29Z","timestamp":1457323049000},"page":"1750049","source":"Crossref","is-referenced-by-count":1,"title":["What is an ideal a zero-class of?"],"prefix":"10.1142","volume":"16","author":[{"given":"N.","family":"Martins-Ferreira","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Escola Superior de Tecnologia e Gest\u00e3o, Centro para o Desenvolvimento R\u00e1pido e Sustentado do Produto, Instituto Polit\u00e9cnico de Leiria, 2411\u2013901 Leiria, Portugal"}]},{"given":"A.","family":"Montoli","sequence":"additional","affiliation":[{"name":"CMUC, Universidade de Coimbra, 3001\u2013501 Coimbra, Portugal"},{"name":"Institut de Recherche en Math\u00e9matique et Physique, Universit\u00e9 catholique de Louvain, chemin du cyclotron 2 bte L7.01.02, 1348 Louvain-la-Neuve, Belgium"}]},{"given":"A.","family":"Ursini","sequence":"additional","affiliation":[{"name":"DIISM, Department of Information Engineering and Mathematical Sciences, Universit\u00e0 degli studi di Siena, 53100 Siena, Italy"}]},{"given":"T.","family":"Van der Linden","sequence":"additional","affiliation":[{"name":"Institut de Recherche en Math\u00e9matique et Physique, Universit\u00e9 catholique de Louvain, chemin du cyclotron 2 bte L7.01.02, 1348 Louvain-la-Neuve, Belgium"}]}],"member":"219","published-online":{"date-parts":[[2017,3,22]]},"reference":[{"key":"S0219498817500499BIB001","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700035436"},{"key":"S0219498817500499BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-1962-3"},{"key":"S0219498817500499BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/BF00122259"},{"key":"S0219498817500499BIB004","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1999.8249"},{"issue":"3","key":"S0219498817500499BIB005","first-page":"163","author":"Bourn D.","year":"2013","journal-title":"Cah. Topol. G\u00e9om. Diff\u00e9r. Cat\u00e9gor."},{"key":"S0219498817500499BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/BF00872942"},{"key":"S0219498817500499BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(91)90022-T"},{"key":"S0219498817500499BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2012.09.024"},{"key":"S0219498817500499BIB009","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-6.3.366"},{"key":"S0219498817500499BIB010","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/19.1.363"},{"key":"S0219498817500499BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.05.022"},{"key":"S0219498817500499BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s10485-008-9135-6"},{"key":"S0219498817500499BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/BF02416806"},{"key":"S0219498817500499BIB014","first-page":"3","volume":"35","author":"Mal\u2019cev A. I.","year":"1954","journal-title":"Mat. Sbornik N.S."},{"key":"S0219498817500499BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2010.07.043"},{"issue":"6","key":"S0219498817500499BIB017","first-page":"91","volume":"21","author":"Martins-Ferreira N.","year":"2008","journal-title":"Theory Appl. Categ."},{"key":"S0219498817500499BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2012.02.033"},{"key":"S0219498817500499BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/s10485-014-9377-4"},{"key":"S0219498817500499BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/s10485-010-9231-2"},{"key":"S0219498817500499BIB021","doi-asserted-by":"publisher","DOI":"10.1007\/s10485-013-9362-3"},{"key":"S0219498817500499BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/s10485-014-9368-5"},{"key":"S0219498817500499BIB023","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1995.1321"},{"key":"S0219498817500499BIB024","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0095447"},{"issue":"6","key":"S0219498817500499BIB025","first-page":"90","volume":"4","author":"Ursini A.","year":"1972","journal-title":"Boll. Unione Mat. Ital."}],"container-title":["Journal of Algebra and Its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219498817500499","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:47:01Z","timestamp":1565149621000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219498817500499"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3]]},"references-count":24,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2017,3,22]]},"published-print":{"date-parts":[[2017,3]]}},"alternative-id":["10.1142\/S0219498817500499"],"URL":"https:\/\/doi.org\/10.1142\/s0219498817500499","relation":{},"ISSN":["0219-4988","1793-6829"],"issn-type":[{"value":"0219-4988","type":"print"},{"value":"1793-6829","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3]]}}}