{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T05:27:55Z","timestamp":1675142875103},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"03n04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1999,6]]},"abstract":"<jats:p> It is known that the profinite completions of a free semigroup which are associated with a pseudovariety of semigroups or of ordered semigroups, can be defined by an \u00e9cart or a quasi-\u00e9cart. We characterize those quasi-\u00e9carts and those quasi-uniformities which arise in this fashion. We also prove an Eilenberg-like one-to-one correspondence between pseudovarieties of ordered semigroups and so-called varieties of quasi-uniformities. <\/jats:p><jats:p> <\/jats:p><jats:p> R\u00e9sum\u00e9: On sait que les compl\u00e9tions profinies d'un semigroupe libre qui sont associ\u00e9es \u00e0 une pseudovari\u00e9t\u00e9 de semigroupes ou de semigroupes ordonn\u00e9s peuvent \u00eatre d\u00e9finies par un \u00e9cart ou un quasi-\u00e9cart. Nous caract\u00e9risons les quasi-\u00e9carts et les quasi-uniformit\u00e9s qui peuvent \u00e9tre obtenues de cette fa\u00e7on. Nous d\u00e9montrons \u00e9galement l'existence d'une correspondance injective \"\u00e0 la Eilenberg\", entre pseudovari\u00e9t\u00e9s de semigroupes ordonn\u00e9s et ce que nous appelons des vari\u00e9t\u00e9s de quasi-uniformit\u00e9s. <\/jats:p>","DOI":"10.1142\/s0218196799000266","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:05:54Z","timestamp":1027767954000},"page":"431-453","source":"Crossref","is-referenced-by-count":8,"title":["UNIFORMITIES ON FREE SEMIGROUPS"],"prefix":"10.1142","volume":"09","author":[{"given":"J.-E.","family":"PIN","sequence":"first","affiliation":[{"name":"LIAFA, Universit\u00e9 Paris-7 and CNRS, 2 place Jussieu 75251 Paris Cedex\u00a005, France"}]},{"given":"P.","family":"WEIL","sequence":"additional","affiliation":[{"name":"LIAFA, Universit\u00e9 Paris-7 and CNRS, 2 place Jussieu 75251 Paris Cedex\u00a005, France"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_2","first-page":"73","author":"Almeida J.","year":"1995","journal-title":"Kluwer Academic"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(97)00042-X"},{"key":"p_5","first-page":"314","year":"1990","journal-title":"Paris"},{"issue":"3","key":"p_6","first-page":"5","volume":"44","author":"Doitchinov D.","year":"1990","journal-title":"Comp. Rend. Acad. Bulgare Sci."},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/0166-8641(91)90086-2"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700029852"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100066597"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1007\/BF02483902"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(96)80711-0"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(88)90067-1"},{"key":"p_19","first-page":"189","author":"Siinderhauf P.","year":"1993","journal-title":"Montreux"},{"key":"p_20","first-page":"47","volume":"69","author":"Siinderhauf P.","year":"1995","journal-title":"Quasi-uniform Hungarica"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(95)00054-Z"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196799000266","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:56:06Z","timestamp":1565128566000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196799000266"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,6]]},"references-count":13,"journal-issue":{"issue":"03n04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1999,6]]}},"alternative-id":["10.1142\/S0218196799000266"],"URL":"https:\/\/doi.org\/10.1142\/s0218196799000266","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,6]]}}}