{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T00:27:44Z","timestamp":1761611264683},"reference-count":12,"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>A<jats:italic>meadow<\/jats:italic>is a commutative ring with an inverse operator satisfying 0<jats:sup>\u22121<\/jats:sup>= 0. We determine the initial algebra of the meadows of characteristic 0 and prove a normal form theorem for it. As an immediate consequence we obtain the decidability of the closed term problem for meadows and the computability of their initial object.<\/jats:p>","DOI":"10.2178\/jsl\/1278682205","type":"journal-article","created":{"date-parts":[[2010,7,9]],"date-time":"2010-07-09T13:30:45Z","timestamp":1278682245000},"page":"888-895","source":"Crossref","is-referenced-by-count":8,"title":["The initial meadows"],"prefix":"10.1017","volume":"75","author":[{"given":"Inge","family":"Bethke","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Piet","family":"Rodenburg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002437_ref006","volume-title":"Lattice theory","volume":"25","author":"Birkhoff","year":"1991"},{"key":"S0022481200002437_ref004","unstructured":"Bethke I. and Rodenburg P. , Some properties of finite meadows, CoRR abs\/0712.0917, 2007."},{"key":"S0022481200002437_ref003","doi-asserted-by":"publisher","DOI":"10.1145\/1219092.1219095"},{"key":"S0022481200002437_ref008","volume-title":"Von Neumann regular rings","author":"Goodearl","year":"1979"},{"key":"S0022481200002437_ref001","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1007\/978-3-540-78127-1_10","volume-title":"Pillars of computer science, essays dedicated to Boris (Boaz) Trakhtenbrot on the occasion of his 85th birthday","volume":"4800","author":"Bergstra","year":"2008"},{"key":"S0022481200002437_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2008.12.015"},{"key":"S0022481200002437_ref010","volume-title":"Algebras, lattices, varieties","author":"McKenzie","year":"1987"},{"key":"S0022481200002437_ref007","doi-asserted-by":"publisher","DOI":"10.1145\/321992.321997"},{"key":"S0022481200002437_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1944-08235-9"},{"key":"S0022481200002437_ref009","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-77487-9","volume-title":"Universal algebra","author":"Gr\u00e4tzer","year":"1979"},{"key":"S0022481200002437_ref011","doi-asserted-by":"publisher","DOI":"10.1016\/S0049-237X(99)80028-7"},{"key":"S0022481200002437_ref012","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-76771-5"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002437","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,2]],"date-time":"2023-06-02T00:51:08Z","timestamp":1685667068000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002437\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,9]]}},"alternative-id":["S0022481200002437"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1278682205","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}