{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,11]],"date-time":"2023-10-11T06:10:21Z","timestamp":1697004621957},"reference-count":5,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3603,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this note, we study the complementedness and the distributivity of upper semilattices of Kleene degrees assuming <jats:italic>V = L. K<\/jats:italic> denotes the upper semilattice of all Kleene degrees. We prove that if <jats:italic>V = L<\/jats:italic>, then some sub upper semilattices of <jats:italic>K<\/jats:italic> are non\u2010complemented and some are non\u2010distributive.<\/jats:p>","DOI":"10.1002\/malq.19970430310","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T16:20:37Z","timestamp":1180455637000},"page":"378-388","source":"Crossref","is-referenced-by-count":0,"title":["Non\u2010Complementedness and Non\u2010Distributivity of Kleene Degrees"],"prefix":"10.1002","volume":"43","author":[{"given":"Hisato","family":"Muraki","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"On the structure of the polynomial time degrees of recursive sets","author":"Ambos\u2010Spies K.","year":"1984"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19780242506"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/pspum\/013.1\/0281602"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19950410205"},{"key":"e_1_2_1_6_2","unstructured":"Weitkamp G. Kleene recursion over the continuum. Ph.D. Thesis Pennsylvania State University 1980."}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19970430310","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19970430310","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T05:37:33Z","timestamp":1696916253000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19970430310"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1002\/malq.19970430310"],"URL":"https:\/\/doi.org\/10.1002\/malq.19970430310","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}