{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T15:15:36Z","timestamp":1770909336960,"version":"3.50.1"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,3]]},"abstract":"<jats:p>Rauzy graphs of subshifts are endowed with an automaton structure. For Sturmian subshifts, it is shown that its transition semigroup is the syntactic semigroup of the language recognized by the automaton. An inverse limit of the partial semigroups of nonzero regular elements of their transition semigroups is described. If the subshift is minimal, then this inverse limit is isomorphic, as a partial semigroup, to the [Formula: see text]-class associated to it in the free pro-aperiodic semigroup.<\/jats:p>","DOI":"10.1142\/s021819671250018x","type":"journal-article","created":{"date-parts":[[2011,10,19]],"date-time":"2011-10-19T03:02:29Z","timestamp":1318993349000},"page":"1250018","source":"Crossref","is-referenced-by-count":5,"title":["ON THE TRANSITION SEMIGROUPS OF CENTRALLY LABELED RAUZY GRAPHS"],"prefix":"10.1142","volume":"22","author":[{"given":"JORGE","family":"ALMEIDA","sequence":"first","affiliation":[{"name":"CMUP, Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal"}]},{"given":"ALFREDO","family":"COSTA","sequence":"additional","affiliation":[{"name":"CMUC, Department of Mathematics, University of Coimbra, 3001-454 Coimbra, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2012,4,5]]},"reference":[{"key":"rf1","doi-asserted-by":"crossref","first-page":"161","DOI":"10.36045\/bbms\/1102714168","volume":"8","author":"Aberkane A.","journal-title":"Bull. Belg. Math. Soc. Simon Stevin"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(03)00091-4"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/9789812831644"},{"key":"rf4","first-page":"1","volume":"1366","author":"Almeida J.","journal-title":"RIMS Kokyuroku"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/1-4020-3817-8_1"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2008.08.009"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196706002883"},{"key":"rf10","doi-asserted-by":"crossref","first-page":"199","DOI":"10.24033\/bsmf.2164","volume":"119","author":"Arnoux P.","journal-title":"Bull. Soc. Math. France"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S021819670200095X"},{"key":"rf12","series-title":"Encyclopedia of Mathematics and its Applications","volume-title":"Codes and Automata","volume":"129","author":"Berstel J.","year":"2010"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196706003232"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/pdq024"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(98)00400-2"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/b13861"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-218X(00)00365-6"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/BF02572826"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107326019"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-13345-3_34"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-2215-3"},{"key":"rf22","unstructured":"G.\u00a0Rauzy, Seminar on Number Theory (Universit\u00e9 Bordeaux I, Talence, 1983)\u00a0p. 16."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819671250018X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,26]],"date-time":"2020-06-26T05:47:11Z","timestamp":1593150431000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819671250018X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3]]},"references-count":20,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2012,4,5]]},"published-print":{"date-parts":[[2012,3]]}},"alternative-id":["10.1142\/S021819671250018X"],"URL":"https:\/\/doi.org\/10.1142\/s021819671250018x","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3]]}}}