{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T17:42:37Z","timestamp":1648921357629},"reference-count":5,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":1288,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2010,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Vector spaces over fields are pseudofinite, and this remains true for vector spaces over division rings that are finite-dimensional over their center. We also construct a division ring such that the nontrivial vector spaces over it are not pseudofinite, using Richard Thompson's group <jats:italic>F<\/jats:italic>. The idea behind the construction comes from a first-order axiomatization of the class of division rings all whose nontrivial vector spaces are pseudofinite.<\/jats:p>","DOI":"10.2178\/jsl\/1278682217","type":"journal-article","created":{"date-parts":[[2010,7,9]],"date-time":"2010-07-09T13:30:45Z","timestamp":1278682245000},"page":"1087-1090","source":"Crossref","is-referenced-by-count":0,"title":["Division rings whose vector spaces are pseudofinite"],"prefix":"10.1017","volume":"75","author":[{"given":"Lou van den","family":"Dries","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vinicius Cif\u00fa","family":"Lopes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002553_ref004","first-page":"229","volume-title":"Partially ordered algebraic systems","author":"Fuchs","year":"1963"},{"key":"S0022481200002553_ref003","unstructured":"van den Dries L. and Vinicius C. L. , Invariant measures on groups satisfying various chain conditions, this Journal, to appear."},{"key":"S0022481200002553_ref001","first-page":"135","volume-title":"Les corps non commutatifs","author":"Blanchard","year":"1972"},{"key":"S0022481200002553_ref002","first-page":"215","article-title":"Introductory notes on Richard Thompson's Groups","volume":"42","author":"Cannon","year":"1996","journal-title":"Enseignement Math\u00e9matique. Revue Internationale. Ile S\u00e9rie."},{"key":"S0022481200002553_ref005","unstructured":"Vinicius C. L. , Euler characteristics for strongly minimal groups and the eq-expansions of vector spaces, submitted."}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002553","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,27]],"date-time":"2019-04-27T21:38:59Z","timestamp":1556401139000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002553\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,9]]}},"alternative-id":["S0022481200002553"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1278682217","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}