{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T10:49:17Z","timestamp":1772448557535,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2013,8]]},"abstract":"<jats:p> We show that being finitely presentable and being finitely presentable with solvable word problem are quasi-isometry invariants of finitely generated left cancellative monoids. Our main tool is an elementary, but useful, geometric characterization of finite presentability for left cancellative monoids. We also give examples to show that this characterization does not extend to monoids in general, and indeed that properties such as solvable word problem are not isometry invariants for general monoids. <\/jats:p>","DOI":"10.1142\/s0218196713500185","type":"journal-article","created":{"date-parts":[[2013,4,25]],"date-time":"2013-04-25T11:24:38Z","timestamp":1366889078000},"page":"1099-1114","source":"Crossref","is-referenced-by-count":3,"title":["QUASI-ISOMETRY AND FINITE PRESENTATIONS OF LEFT CANCELLATIVE MONOIDS"],"prefix":"10.1142","volume":"23","author":[{"given":"ROBERT D.","family":"GRAY","sequence":"first","affiliation":[{"name":"Centro de \u00c1lgebra da Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649\u2013003 Lisboa, Portugal"}]},{"given":"MARK","family":"KAMBITES","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Manchester, Manchester M13 9PL, England, UK"}]}],"member":"219","published-online":{"date-parts":[[2013,8,21]]},"reference":[{"key":"rf1","first-page":"458","volume":"41","author":"Adyan S. I.","year":"1987","journal-title":"Mat. Zametki"},{"key":"rf2","first-page":"761","volume":"311","author":"Alonso J. M.","year":"1990","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/e003"},{"key":"rf4","series-title":"Chicago Lectures in Mathematics","volume-title":"Topics in Geometric Group Theory","author":"de la Harpe P.","year":"2000"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1112\/S0024611599012071"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1017\/S0960129501003395"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S021819671100687X"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-2012-05868-5"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2005.06.012"},{"key":"rf10","series-title":"Pure and Applied Mathematics","volume-title":"Semigroups and Combinatorial Applications","author":"Lallement G.","year":"1979"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2011-11286-3"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2003.158.115"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.2000.195.487"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196713500185","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:55:29Z","timestamp":1565117729000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196713500185"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8]]},"references-count":13,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2013,8,21]]},"published-print":{"date-parts":[[2013,8]]}},"alternative-id":["10.1142\/S0218196713500185"],"URL":"https:\/\/doi.org\/10.1142\/s0218196713500185","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,8]]}}}