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In particular, each finite [Formula: see text]-trivial (and, dually, each finite [Formula: see text]-trivial) semigroup has a free spectrum whose logarithm is bounded above by a polynomial function. <\/jats:p>","DOI":"10.1142\/s0218196712500634","type":"journal-article","created":{"date-parts":[[2012,8,21]],"date-time":"2012-08-21T21:01:04Z","timestamp":1345582864000},"page":"1250063","source":"Crossref","is-referenced-by-count":0,"title":["ON FREE ALGEBRAS IN VARIETIES GENERATED BY ITERATED SEMIDIRECT PRODUCTS OF SEMILATTICES"],"prefix":"10.1142","volume":"22","author":[{"given":"G\u00c1BOR","family":"HORV\u00c1TH","sequence":"first","affiliation":[{"name":"Institute of Mathematics, University of Debrecen, Pf. 12, 4010 Debrecen, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"KAMILLA","family":"K\u00c1TAI-URB\u00c1N","sequence":"additional","affiliation":[{"name":"Bolyai Institute, University of Szeged, Aradi V\u00e9rtan\u00fak Tere 1, 6720 Szeged, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P\u00c9TER P\u00c1L","family":"PACH","sequence":"additional","affiliation":[{"name":"Department of Algebra and Number Theory, E\u00f6tv\u00f6s Lor\u00e1nd University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1\/c, 1117 Budapest, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GABRIELLA","family":"PLUH\u00c1R","sequence":"additional","affiliation":[{"name":"Department of Algebra and Number Theory, E\u00f6tv\u00f6s Lor\u00e1nd University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1\/c, 1117 Budapest, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANDR\u00c1S","family":"PONGR\u00c1CZ","sequence":"additional","affiliation":[{"name":"Central European University, Budapest, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"CSABA","family":"SZAB\u00d3","sequence":"additional","affiliation":[{"name":"Department of Algebra and Number Theory, E\u00f6tv\u00f6s Lor\u00e1nd University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1\/c, 1117 Budapest, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,12,3]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(91)90228-Z"},{"key":"rf2","volume-title":"Finite Semigroups and Universal Algebra","author":"Almeida J.","year":"1994"},{"key":"rf3","first-page":"470","volume":"33","author":"Crvenkovi\u0107 S.","journal-title":"Algebra Universalis"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2009.02.004"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089511000188"},{"key":"rf6","unstructured":"G.\u00a0Gr\u00e4tzer and A.\u00a0Kisielewicz, Universal Algebra and Quasigroup Theory (Heldermann-Verlag, Berlin, 1992)\u00a0pp. 57\u201388."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-006-0615-4"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089507003448"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/s000120050132"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/14.1.46"},{"key":"rf12","first-page":"89","volume":"2","author":"Pluh\u00e1r G.","journal-title":"Algebra Discrete Math."},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2007.09.008"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(73)90007-8"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196712500634","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T08:32:01Z","timestamp":1565166721000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196712500634"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11]]},"references-count":13,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2012,12,3]]},"published-print":{"date-parts":[[2012,11]]}},"alternative-id":["10.1142\/S0218196712500634"],"URL":"https:\/\/doi.org\/10.1142\/s0218196712500634","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11]]}}}