{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T06:44:25Z","timestamp":1698648265525},"reference-count":5,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2010,11,17]],"date-time":"2010-11-17T00:00:00Z","timestamp":1289952000000},"content-version":"vor","delay-in-days":4338,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1999,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>For a prime <jats:italic>k<\/jats:italic>, the embeddability of finite lattices are discussed for various kind of the MOD<jats:sub>k<\/jats:sub>P degrees of recursive sets. In particular, all finite lattices are embeddable into the MOD<jats:sub>k<\/jats:sub>P Turing degrees, whereas the non distributive lattice <jats:italic>M<\/jats:italic><jats:sub>3<\/jats:sub> is embeddable into the MOD<jats:sub>2<\/jats:sub>P many\u2010one degrees but <jats:italic>N<\/jats:italic><jats:sub>5<\/jats:sub> is not.<\/jats:p>","DOI":"10.1002\/malq.19990450305","type":"journal-article","created":{"date-parts":[[2010,11,17]],"date-time":"2010-11-17T16:30:38Z","timestamp":1290011438000},"page":"327-342","source":"Crossref","is-referenced-by-count":0,"title":["On MOD<sub>k<\/sub>P Counting Degrees"],"prefix":"10.1002","volume":"45","author":[{"given":"Masamitsu","family":"Ozaki","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juichi","family":"Shinoda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,11,17]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","unstructured":"Ambos\u2010SPIES K. On the structure of the polynomial time degrees of recursive sets. Habilitationschrift Universit\u00e4t Dortmund Germany 1984.","DOI":"10.1007\/3-540-12920-0_18"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1137\/0204037"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0000(91)90040-C"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(92)90084-S"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(92)90078-T"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19990450305","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19990450305","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T17:37:38Z","timestamp":1698601058000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19990450305"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1999,1]]}},"alternative-id":["10.1002\/malq.19990450305"],"URL":"https:\/\/doi.org\/10.1002\/malq.19990450305","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,1]]}}}