{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T10:49:36Z","timestamp":1758278976805},"reference-count":31,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2008,10,24]],"date-time":"2008-10-24T00:00:00Z","timestamp":1224806400000},"content-version":"unspecified","delay-in-days":6081,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Proc. Camb. Phil. Soc."],"published-print":{"date-parts":[[1992,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove that every semigroup <jats:italic>S<\/jats:italic> in which the idempotents form a subsemigroup has an E-unitary cover with the same property. Furthermore, if <jats:italic>S<\/jats:italic> is E-dense or orthodox, then its cover can be chosen with the same property. Then we describe the structure of E-unitary dense semigroups. Our results generalize Fountain's results on semigroups in which the idempotents commute, and are analogous to those of Birget, Margolis and Rhodes, and of Jones and Szendrei on finite E-semigroups.<\/jats:p>","DOI":"10.1017\/s0305004100075332","type":"journal-article","created":{"date-parts":[[2008,11,7]],"date-time":"2008-11-07T09:40:41Z","timestamp":1226050841000},"page":"241-253","source":"Crossref","is-referenced-by-count":15,"title":["Semigroups whose idempotents form a subsemigroup"],"prefix":"10.1017","volume":"111","author":[{"given":"J.","family":"Almeida","sequence":"first","affiliation":[]},{"given":"J.-E.","family":"Pin","sequence":"additional","affiliation":[]},{"given":"P.","family":"Weil","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2008,10,24]]},"reference":[{"key":"S0305004100075332_ref004","volume-title":"Automata, Languages and Machines","author":"Eilenberg","year":"1976"},{"key":"S0305004100075332_ref020","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0013106"},{"key":"S0305004100075332_ref027","first-page":"229","article-title":"A generalization of McAlister's P-theorem for E-unitary regular semigroups","volume":"51","author":"Szendrei","year":"1987","journal-title":"Acta Sci. 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Tokyo Gakugei Univ."},{"key":"S0305004100075332_ref006","unstructured":"6 Jones P. and Szendrei M. . Local varieties of completely regular monoids, to appear."},{"key":"S0305004100075332_ref005","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/22.4.353"},{"key":"S0305004100075332_ref012","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-74-99950-4"},{"key":"S0305004100075332_ref013","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1977.68.161"},{"key":"S0305004100075332_ref026","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500018229"},{"key":"S0305004100075332_ref014","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700035199"},{"key":"S0305004100075332_ref008","volume-title":"Semigroups and Combinatorial Applications","author":"Lallement","year":"1979"},{"key":"S0305004100075332_ref017","volume-title":"Varits de Langages Formels","author":"Pin","year":"1984"},{"key":"S0305004100075332_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/BF02573274"},{"key":"S0305004100075332_ref030","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(87)90108-3"},{"key":"S0305004100075332_ref001","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700028998"},{"key":"S0305004100075332_ref024","first-page":"311","volume":"25","author":"Szendrei","year":"1982","journal-title":"correction"},{"key":"S0305004100075332_ref002","volume-title":"Theory of Codes","author":"Berstel","year":"1985"},{"key":"S0305004100075332_ref022","volume-title":"Travels into several Remote Nations of the World","author":"Swift","year":"1726"},{"key":"S0305004100075332_ref010","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(87)90048-2"},{"key":"S0305004100075332_ref031","doi-asserted-by":"publisher","DOI":"10.1051\/ita\/1986200303571"},{"key":"S0305004100075332_ref016","volume-title":"Inverse semigroups","author":"Petrich","year":"1984"},{"key":"S0305004100075332_ref021","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1967.23.349"}],"container-title":["Mathematical Proceedings of the Cambridge Philosophical Society"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0305004100075332","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T18:23:41Z","timestamp":1558031021000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0305004100075332\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,3]]},"references-count":31,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1992,3]]}},"alternative-id":["S0305004100075332"],"URL":"https:\/\/doi.org\/10.1017\/s0305004100075332","relation":{},"ISSN":["0305-0041","1469-8064"],"issn-type":[{"value":"0305-0041","type":"print"},{"value":"1469-8064","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,3]]}}}