{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T13:44:04Z","timestamp":1717595044416},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"6","license":[{"start":{"date-parts":[[2010,10,30]],"date-time":"2010-10-30T00:00:00Z","timestamp":1288396800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010,12,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Suppose \u03c3 is an equivalence on a set X and let E(X, \u03c3) denote the semigroup (under composition) of all \u03b1: X \u2192 X such that \u03c3 \u2286 \u03b1 \u2218 \u03b1\n                        \u22121. Here we characterise Green\u2019s relations and ideals in E(X, \u03c3). This is analogous to recent work by Sullivan on K(V, W), the semigroup (under composition) of all linear transformations \u03b2 of a vector space V such that W \u2286 ker \u03b2, where W is a fixed subspace of V.<\/jats:p>","DOI":"10.2478\/s11533-010-0066-8","type":"journal-article","created":{"date-parts":[[2010,9,27]],"date-time":"2010-09-27T01:59:26Z","timestamp":1285552766000},"page":"1120-1131","source":"Crossref","is-referenced-by-count":8,"title":["Semigroups of transformations restricted by an equivalence"],"prefix":"10.2478","volume":"8","author":[{"given":"Suzana","family":"Mendes-Gon\u00e7alves","sequence":"first","affiliation":[{"name":"Universidade do Minho"}]},{"given":"Robert","family":"Sullivan","sequence":"additional","affiliation":[{"name":"University of Western Australia"}]}],"member":"374","published-online":{"date-parts":[[2010,10,30]]},"container-title":["Open Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.2478\/s11533-010-0066-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.2478\/s11533-010-0066-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/s11533-010-0066-8\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/s11533-010-0066-8\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T12:29:07Z","timestamp":1717590547000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/s11533-010-0066-8\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10,30]]},"references-count":0,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2010,10,30]]},"published-print":{"date-parts":[[2010,12,1]]}},"alternative-id":["10.2478\/s11533-010-0066-8"],"URL":"https:\/\/doi.org\/10.2478\/s11533-010-0066-8","relation":{},"ISSN":["2391-5455"],"issn-type":[{"value":"2391-5455","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10,30]]}}}