{"id":"https://openalex.org/W2016058033","doi":"https://doi.org/10.2178/jsl/1231082315","title":"Prime models of finite computable dimension","display_name":"Prime models of finite computable dimension","publication_year":2009,"publication_date":"2009-01-04","ids":{"openalex":"https://openalex.org/W2016058033","doi":"https://doi.org/10.2178/jsl/1231082315","mag":"2016058033"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1231082315","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1231082315","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050813521","display_name":"Pavel Semukhin","orcid":"https://orcid.org/0000-0002-7547-6391"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Pavel Semukhin","raw_affiliation_strings":["Department of Computer Science, The University of Auckland, Private Bag 92019, Auckland, New Zealand, E-mail:","The University of Auckland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Auckland, Private Bag 92019, Auckland, New Zealand, E-mail:","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"The University of Auckland","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050813521"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09808741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"74","issue":"1","first_page":"336","last_page":"348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9388999938964844,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6169348955154419},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.5747238993644714},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5253141522407532},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4885185956954956},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4216923117637634},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41944336891174316},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38487398624420166},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3489592373371124},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3250565528869629}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6169348955154419},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.5747238993644714},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5253141522407532},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4885185956954956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4216923117637634},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41944336891174316},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38487398624420166},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3489592373371124},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3250565528869629},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1231082315","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1231082315","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1231082315","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1231082315","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1992539853","https://openalex.org/W1996816738","https://openalex.org/W2032686575","https://openalex.org/W2033918725","https://openalex.org/W2046880643","https://openalex.org/W2096515662","https://openalex.org/W2131332739","https://openalex.org/W2327605742"],"related_works":["https://openalex.org/W98540345","https://openalex.org/W3135273464","https://openalex.org/W1987895267","https://openalex.org/W2350519135","https://openalex.org/W2390619334","https://openalex.org/W1994403863","https://openalex.org/W1599486919","https://openalex.org/W2155009918","https://openalex.org/W2949199486","https://openalex.org/W2083648745"],"abstract_inverted_index":{"Abstract":[0],"We":[1,29,55],"study":[2],"the":[3,22,66],"following":[4],"open":[5],"question":[6],"in":[7,65],"computable":[8,17,49],"model":[9,24],"theory:":[10],"does":[11],"there":[12,59],"exist":[13],"a":[14,35,39,52],"structure":[15,36],"of":[16,25,33,42,62,68],"dimension":[18],"two":[19,47],"which":[20],"is":[21],"prime":[23],"its":[26],"first-order":[27],"theory?":[28],"construct":[30],"an":[31],"example":[32],"such":[34,63],"by":[37],"coding":[38],"certain":[40],"family":[41],"c.e.":[43],"sets":[44],"with":[45],"exactly":[46],"one-to-one":[48],"enumerations":[50],"into":[51],"directed":[53],"graph.":[54],"also":[56],"show":[57],"that":[58],"are":[60],"examples":[61],"structures":[64],"classes":[67],"undirected":[69],"graphs,":[70],"partial":[71],"orders,":[72],"lattices,":[73],"and":[74],"integral":[75],"domains.":[76]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}