{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T12:19:25Z","timestamp":1779365965813,"version":"3.53.0"},"reference-count":14,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"name":"FCT - Funda\u00e7\u00e3o para a Ci\u00eancia e Tecnologia","award":["10.54499\/UIDB\/04674\/2020"],"award-info":[{"award-number":["10.54499\/UIDB\/04674\/2020"]}]},{"name":"CMAFcIO - Centro de Matem\u00e1tica, Aplica\u00e7\u00f5es Fundamentais e Investiga\u00e7\u00e3o Operacionl","award":["UIDP\/04561\/2020"],"award-info":[{"award-number":["UIDP\/04561\/2020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2024,9]]},"abstract":"<jats:p> Common meadows are commutative and associative algebraic structures with two operations (addition and multiplication) with additive and multiplicative identities and for which inverses are total. The inverse of zero is an error term [Formula: see text] which is absorbent for addition. We study the problem of enumerating all finite common meadows of order n (that is, common meadows with n elements). This problem turns out to be deeply connected with both the number of finite rings of order n and with the number of a certain kind of partition of positive integers. <\/jats:p>","DOI":"10.1142\/s0218196724500310","type":"journal-article","created":{"date-parts":[[2024,6,17]],"date-time":"2024-06-17T07:33:51Z","timestamp":1718609631000},"page":"837-855","source":"Crossref","is-referenced-by-count":6,"title":["Towards an enumeration of finite common meadows"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9400-7323","authenticated-orcid":false,"given":"Jo\u00e3o","family":"Dias","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade de \u00c9vora, Portugal"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2143-3289","authenticated-orcid":false,"given":"Bruno","family":"Dinis","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade de \u00c9vora, Portugal"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2024,7,27]]},"reference":[{"key":"S0218196724500310BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/11780342_5"},{"key":"S0218196724500310BIB002","doi-asserted-by":"publisher","DOI":"10.36285\/tm.33"},{"key":"S0218196724500310BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-78127-1_10"},{"key":"S0218196724500310BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-15545-6_6"},{"key":"S0218196724500310BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s00236-019-00352-8"},{"key":"S0218196724500310BIB006","doi-asserted-by":"publisher","DOI":"10.1145\/1219092.1219095"},{"key":"S0218196724500310BIB007","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/bxac026"},{"key":"S0218196724500310BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jlamp.2014.08.004"},{"key":"S0218196724500310BIB010","doi-asserted-by":"publisher","DOI":"10.1112\/jlms.12661"},{"key":"S0218196724500310BIB011","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511542756"},{"key":"S0218196724500310BIB014","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2024.2362932"},{"key":"S0218196724500310BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-33558-7_63"},{"key":"S0218196724500310BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-013-9504-9"},{"key":"S0218196724500310BIB018","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1955-0069814-7"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196724500310","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,27]],"date-time":"2024-09-27T07:45:53Z","timestamp":1727423153000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196724500310"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,27]]},"references-count":14,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2024,9]]}},"alternative-id":["10.1142\/S0218196724500310"],"URL":"https:\/\/doi.org\/10.1142\/s0218196724500310","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,7,27]]}}}