{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T00:54:46Z","timestamp":1648601686451},"reference-count":25,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1996,6,1]],"date-time":"1996-06-01T00:00:00Z","timestamp":833587200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":6255,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1996,6]]},"DOI":"10.1016\/0012-365x(95)00140-r","type":"journal-article","created":{"date-parts":[[2003,4,7]],"date-time":"2003-04-07T17:25:26Z","timestamp":1049736326000},"page":"239-251","source":"Crossref","is-referenced-by-count":1,"title":["Some combinatorial properties of infinite words and applications to semigroup theory"],"prefix":"10.1016","volume":"153","author":[{"given":"Giuseppe","family":"Pirillo","sequence":"first","affiliation":[]},{"given":"Stefano","family":"Varricchio","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(95)00140-R_BIB1","first-page":"1149","article-title":"Une condition de finitude des mono\u00efdes finiment engendr\u00e9s","volume":"262","author":"Coudrain","year":"1966","journal-title":"C.R. Acad. Sci. Paris, S\u00e9r. A"},{"key":"10.1016\/0012-365X(95)00140-R_BIB2","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/BF02572479","article-title":"A finiteness condition for finitely generated semigroups","volume":"28","author":"de Luca","year":"1984","journal-title":"Semigroup Forum"},{"key":"10.1016\/0012-365X(95)00140-R_BIB3","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/0304-3975(91)90329-Z","article-title":"Finiteness and iteration conditions for semigroups","volume":"87","author":"de Luca","year":"1991","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/0012-365X(95)00140-R_BIB4","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1142\/S0218196791000158","article-title":"Combinatorial properties of uniformly recurrent words and an application to semigroups","volume":"1","author":"de Luca","year":"1991","journal-title":"Int. J. Algebra Comput."},{"key":"10.1016\/0012-365X(95)00140-R_BIB5","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/0021-8693(91)90064-F","article-title":"A finiteness conditions for semigroups generalizing a Theorem of Hotzel","volume":"136","author":"de Luca","year":"1991","journal-title":"J. Algebra"},{"key":"10.1016\/0012-365X(95)00140-R_BIB6","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1090\/S0273-0979-1981-14932-6","article-title":"Poincar\u00e9 recurrence and number theory","volume":"5","author":"Furstenberg","year":"1981","journal-title":"Bull. Amer. Math. Soc."},{"key":"10.1016\/0012-365X(95)00140-R_BIB7","series-title":"Ramsey Theory","author":"Graham","year":"1980"},{"key":"10.1016\/0012-365X(95)00140-R_BIB8","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/0304-3975(86)90021-6","article-title":"Notes on finitely generated semigroups and pumping conditions for regular languages","volume":"46","author":"Hashiguchi","year":"1986","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/0012-365X(95)00140-R_BIB9","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0097-3165(86)90061-0","article-title":"On a Natural Extension of Jacob's Ranks","volume":"43","author":"Justin","year":"1986","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/0012-365X(95)00140-R_BIB10","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/0001-8708(91)90069-J","article-title":"Shirshov's theorem and \u03c9-permutability of semigroups","volume":"87","author":"Justin","year":"1991","journal-title":"Adv. Math."},{"key":"10.1016\/0012-365X(95)00140-R_BIB11","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1142\/S0218196793000202","article-title":"Factorial languages and some combinatorial properties of semigroups","volume":"3","author":"Justin","year":"1993","journal-title":"Int. J. Algebra Comput."},{"key":"10.1016\/0012-365X(95)00140-R_BIB12","series-title":"Proc. 3rd Italian Conf. on Theoretical Computer Science","article-title":"Unavoidable regularities and finiteness conditions for semigroups","author":"Justin","year":"1989"},{"key":"10.1016\/0012-365X(95)00140-R_BIB13","first-page":"85","article-title":"Alcune condizioni sul prodotto di due elementi in un semigruppo","volume":"I","author":"Justin","year":"1990","journal-title":"Rendiconti dell'Accademia Nazionale dei Lincei Serie IX"},{"key":"10.1016\/0012-365X(95)00140-R_BIB14","series-title":"Semigroups and Combinatorial Application","author":"Lallement","year":"1979"},{"key":"10.1016\/0012-365X(95)00140-R_BIB15","series-title":"S\u00e9minaire Lothar\u00edngien de Combinatoire, 21e Session","article-title":"Les ramifications des suites r\u00e9currentes non-p\u00e9riodiques","author":"Leeb","year":"1989"},{"key":"10.1016\/0012-365X(95)00140-R_BIB16","series-title":"Encyclopedia of Math. and its Applications","article-title":"Combinatorics on words","author":"Lothaire","year":"1983"},{"key":"10.1016\/0012-365X(95)00140-R_BIB17","first-page":"631","article-title":"Sur un th\u00e9or\u00e8me combinatoire de Shirshov","volume":"t.313","author":"Pirillo","year":"1991","journal-title":"C.R. Acad. Sci. Paris"},{"key":"10.1016\/0012-365X(95)00140-R_BIB18","first-page":"645","article-title":"Sur les produits directs de semi-groupes r\u00e9p\u00e9titifs","volume":"t. 314","author":"Pirillo","year":"1992","journal-title":"C.R. Acad. Sci. Paris"},{"key":"10.1016\/0012-365X(95)00140-R_BIB19","series-title":"Proc. 5th Conf. Formal Power Series and Algebraic Combinatorics","article-title":"Ultimately periodic and n-divided words","author":"Pirillo","year":"1993"},{"key":"10.1016\/0012-365X(95)00140-R_BIB20","first-page":"264","article-title":"On a problem of formal logic","volume":"30","author":"Ramsey","year":"1930"},{"key":"10.1016\/0012-365X(95)00140-R_BIB21","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/S0019-9958(83)80044-8","article-title":"Some applications of a theorem of Shirshov to language theory","volume":"57","author":"Restivo","year":"1983","journal-title":"Inform Control"},{"key":"10.1016\/0012-365X(95)00140-R_BIB22","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1016\/0021-8693(84)90237-0","article-title":"On the Burnside problem for semigroups","volume":"89","author":"Restivo","year":"1984","journal-title":"J. Algebra"},{"key":"10.1016\/0012-365X(95)00140-R_BIB23","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/0304-3975(85)90156-2","article-title":"Rational languages and the Burnside problem","volume":"40","author":"Restivo","year":"1985","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/0012-365X(95)00140-R_BIB24","first-page":"1081","article-title":"Conditions de finitude pour des semigroups","volume":"290","author":"Simon","year":"1980","journal-title":"C.R. Acad. Sci. Paris S\u00e9r A"},{"key":"10.1016\/0012-365X(95)00140-R_BIB25","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/0304-3975(90)90163-C","article-title":"Factorisations of free monoids and unavoidable regularities","volume":"73","author":"Varricchio","year":"1990","journal-title":"Theoret. Comput. Sci."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9500140R?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9500140R?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T23:20:03Z","timestamp":1556666403000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X9500140R"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,6]]},"references-count":25,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1996,6]]}},"alternative-id":["0012365X9500140R"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(95)00140-r","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1996,6]]}}}