{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T05:28:17Z","timestamp":1648531697566},"reference-count":21,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2011,6,20]],"date-time":"2011-06-20T00:00:00Z","timestamp":1308528000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Edinburgh Mathematical Society"],"published-print":{"date-parts":[[2011,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The operator that constructs the pseudovariety generated by the idempotent-generated semi-groups of a given pseudovariety is investigated. Several relevant examples of pseudovarieties generated by their idempotent-generated elements are given, as well as some properties of this operator. Particular attention is paid to the pseudovarieties in {<jats:italic>J, R, L, DA<\/jats:italic>} concerning this operator and their generator ranks and idempotent-generator ranks.<\/jats:p>","DOI":"10.1017\/s0013091509001795","type":"journal-article","created":{"date-parts":[[2011,6,20]],"date-time":"2011-06-20T08:16:13Z","timestamp":1308557773000},"page":"545-568","source":"Crossref","is-referenced-by-count":3,"title":["Idempotent-generated semigroups and pseudovarieties"],"prefix":"10.1017","volume":"54","author":[{"given":"J.","family":"Almeida","sequence":"first","affiliation":[]},{"given":"A.","family":"Moura","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2011,6,20]]},"reference":[{"key":"S0013091509001795_ref018","volume-title":"Linear orderings","author":"Rosenstein","year":"1982"},{"key":"S0013091509001795_ref009","doi-asserted-by":"publisher","DOI":"10.1017\/S0013091500026936"},{"key":"S0013091509001795_ref019","doi-asserted-by":"publisher","DOI":"10.1007\/BF02572507"},{"key":"S0013091509001795_ref015","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-2215-3"},{"key":"S0013091509001795_ref006","volume-title":"Automata, languages and machines","volume":"B","author":"Eilenberg","year":"1976"},{"key":"S0013091509001795_ref013","doi-asserted-by":"publisher","DOI":"10.1007\/BF02194670"},{"key":"S0013091509001795_ref010","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-004-0101-9"},{"key":"S0013091509001795_ref014","doi-asserted-by":"publisher","DOI":"10.1007\/s00605-003-0040-7"},{"key":"S0013091509001795_ref007","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100066780"},{"key":"S0013091509001795_ref021","first-page":"23","article-title":"On the ranks of certain finite semigroups of order-decreasing transformations","volume":"53","author":"Umar","year":"1996","journal-title":"Portugaliae Math."},{"key":"S0013091509001795_ref020","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500015031"},{"key":"S0013091509001795_ref003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196797000289"},{"key":"S0013091509001795_ref001","volume-title":"Finite semigroups and universal algebra","author":"Almeida","year":"1994"},{"key":"S0013091509001795_ref002","first-page":"1","volume-title":"NATO Science Series II: Mathematics, Physics and Chemistry","volume":"207","author":"Almeida","year":"2005"},{"key":"S0013091509001795_ref004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196797000198"},{"key":"S0013091509001795_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/BF02194879"},{"key":"S0013091509001795_ref008","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s1-41.1.707"},{"key":"S0013091509001795_ref011","unstructured":"11. 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