{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T10:35:02Z","timestamp":1649068502186},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2004,6]]},"abstract":"<jats:p> Using techniques pioneered by R. McKenzie, we prove that there is no algorithm which, given a finite algebra in a finite language, determines whether the variety (equational class) generated by the algebra has a model companion. In particular, there exists a finite algebra such that the variety it generates has no model companion; this answers a question of Burris and Werner from 1979. <\/jats:p>","DOI":"10.1142\/s0218196704001748","type":"journal-article","created":{"date-parts":[[2004,6,21]],"date-time":"2004-06-21T08:14:10Z","timestamp":1087805650000},"page":"325-355","source":"Crossref","is-referenced-by-count":0,"title":["DETERMINING WHETHER ${\\mathsf V}({\\bf A})$ HAS A MODEL COMPANION IS UNDECIDABLE"],"prefix":"10.1142","volume":"14","author":[{"given":"ROSS","family":"WILLARD","sequence":"first","affiliation":[{"name":"Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-8130-3"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1979-0522263-8"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(71)90016-7"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511551574"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196796000027"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196796000039"},{"key":"rf7","volume-title":"Algebras, Lattices, Varieties","author":"McKenzie R.","year":"1987"},{"key":"rf8","volume-title":"Complete Theories","author":"Robinson A.","year":"1956"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196796000313"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01879739"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196704001748","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:23:46Z","timestamp":1565130226000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196704001748"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,6]]},"references-count":10,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2004,6]]}},"alternative-id":["10.1142\/S0218196704001748"],"URL":"https:\/\/doi.org\/10.1142\/s0218196704001748","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,6]]}}}