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The tools used by Almeida, Costa, and Zeitoun for proving that the pseudovariety of all finite [Formula: see text]-trivial monoids is completely [Formula: see text]-reducible are adapted for the general setting of a pseudovariety of the form [Formula: see text].<\/jats:p>","DOI":"10.1142\/s0218196717500096","type":"journal-article","created":{"date-parts":[[2017,2,17]],"date-time":"2017-02-17T07:55:07Z","timestamp":1487318107000},"page":"189-235","source":"Crossref","is-referenced-by-count":1,"title":["Complete \u03ba-reducibility of pseudovarieties of the form DRH"],"prefix":"10.1142","volume":"27","author":[{"given":"Jorge","family":"Almeida","sequence":"first","affiliation":[{"name":"Centro de Matem\u00e1tica e Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal"}]},{"given":"C\u00e9lia","family":"Borlido","sequence":"additional","affiliation":[{"name":"Centro de Matem\u00e1tica e Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2017,4,9]]},"reference":[{"key":"S0218196717500096BIB001","doi-asserted-by":"publisher","DOI":"10.2307\/2275184"},{"key":"S0218196717500096BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196799000163"},{"key":"S0218196717500096BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/9789812776884_0001"},{"key":"S0218196717500096BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/1-4020-3817-8_1"},{"issue":"4","key":"S0218196717500096BIB006","doi-asserted-by":"crossref","first-page":"445","DOI":"10.4171\/pm\/1792","volume":"64","author":"Almeida J.","year":"2007","journal-title":"Port. 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