{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T15:43:06Z","timestamp":1773848586844,"version":"3.50.1"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2018,12]]},"abstract":"<jats:p>This work provides an example of a finitely presented semigroup [Formula: see text] with zero containing an infinite ideal of the form [Formula: see text], where [Formula: see text] is a generator of [Formula: see text], such that every word in generators representing an element of [Formula: see text] is square free (i.e. any word of the type [Formula: see text], for non-empty [Formula: see text], equals zero in [Formula: see text]).<\/jats:p>","DOI":"10.1142\/s0218196718400088","type":"journal-article","created":{"date-parts":[[2018,7,26]],"date-time":"2018-07-26T06:35:31Z","timestamp":1532586931000},"page":"1565-1573","source":"Crossref","is-referenced-by-count":7,"title":["A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication"],"prefix":"10.1142","volume":"28","author":[{"given":"Ilya","family":"Ivanov-Pogodaev","sequence":"first","affiliation":[{"name":"Moscow Institute of Physics and Technology, Moscow, Russia"}]},{"given":"Sergey","family":"Malev","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Edinburgh, Edinburgh, UK"},{"name":"Department of Mathematics, Technion \u2014 Israel, Institute of Technology, Haifa, Israel"}]},{"given":"Olga","family":"Sapir","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Edinburgh, Edinburgh, UK"},{"name":"Department of Mathematics, Technion \u2014 Israel, Institute of Technology, Haifa, Israel"}]}],"member":"219","published-online":{"date-parts":[[2019,1,14]]},"reference":[{"key":"S0218196718400088BIB001","doi-asserted-by":"publisher","DOI":"10.1070\/RM2010v065n05ABEH004702"},{"key":"S0218196718400088BIB002","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1134\/S0371968515020041","volume":"289","author":"Adyan S.","year":"2015","journal-title":"Tr. Mat. Inst. Steklova"},{"key":"S0218196718400088BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-004-5585-5"},{"issue":"2","key":"S0218196718400088BIB004","first-page":"273","volume":"28","author":"Golod E.","year":"1964","journal-title":"Izv. Akad. Nauk SSSR Ser. Mat."},{"issue":"2","key":"S0218196718400088BIB005","first-page":"261","volume":"28","author":"Golod E.","year":"1964","journal-title":"Izv. Akad. Nauk SSSR Ser. Mat."},{"key":"S0218196718400088BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2018.02.035"},{"key":"S0218196718400088BIB009","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2010.524685"},{"key":"S0218196718400088BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3618-1"},{"key":"S0218196718400088BIB011","doi-asserted-by":"crossref","unstructured":"M. Sapir, Combinatorial Algebra: Syntax and Semantics (Springer, 2014), 355 p.","DOI":"10.1007\/978-3-319-08031-4"},{"key":"S0218196718400088BIB012","first-page":"1","volume":"7","author":"Thue A.","year":"1906","journal-title":"Norske Vid. Skrifter I Mat.-Nat. Kl., Christiania"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196718400088","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,28]],"date-time":"2022-08-28T05:46:53Z","timestamp":1661665613000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196718400088"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12]]},"references-count":10,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2019,1,14]]},"published-print":{"date-parts":[[2018,12]]}},"alternative-id":["10.1142\/S0218196718400088"],"URL":"https:\/\/doi.org\/10.1142\/s0218196718400088","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,12]]}}}