{"id":"https://openalex.org/W1982982969","doi":"https://doi.org/10.1007/s00153-008-0083-5","title":"On Lachlan\u2019s major sub-degree problem","display_name":"On Lachlan\u2019s major sub-degree problem","publication_year":2008,"publication_date":"2008-06-26","ids":{"openalex":"https://openalex.org/W1982982969","doi":"https://doi.org/10.1007/s00153-008-0083-5","mag":"1982982969"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-008-0083-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-008-0083-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical 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/A5076862599","display_name":"S. Barry Cooper","orcid":"https://orcid.org/0000-0001-5103-0400"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"S. Barry Cooper","raw_affiliation_strings":["Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT, West Yorkshire, UK","(University of Leeds"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT, West Yorkshire, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"(University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041305250","display_name":"Angsheng Li","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Angsheng Li","raw_affiliation_strings":["State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, P.O. Box 8718, Beijing, 100190, People\u2019s Republic of China","Chinese Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, P.O. Box 8718, Beijing, 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076862599"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8258,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74162305,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"47","issue":"4","first_page":"341","last_page":"434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9896000027656555,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.8849998712539673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7914726734161377},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.591860294342041},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5601814389228821},{"id":"https://openalex.org/keywords/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.4545036256313324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3767854571342468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10135909914970398},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.054561764001846313}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8849998712539673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7914726734161377},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.591860294342041},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5601814389228821},{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.4545036256313324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3767854571342468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10135909914970398},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.054561764001846313},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-008-0083-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-008-0083-5","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W111095393","https://openalex.org/W130517038","https://openalex.org/W181742427","https://openalex.org/W1592162066","https://openalex.org/W1975466840","https://openalex.org/W1994697128","https://openalex.org/W2006726677","https://openalex.org/W2015965037","https://openalex.org/W2031067254","https://openalex.org/W2033957959","https://openalex.org/W2037416374","https://openalex.org/W2037469541","https://openalex.org/W2045033949","https://openalex.org/W2051601785","https://openalex.org/W2055640873","https://openalex.org/W2056414301","https://openalex.org/W2060846300","https://openalex.org/W2070390550","https://openalex.org/W2082637799","https://openalex.org/W2104229624","https://openalex.org/W2117832390","https://openalex.org/W2167819410","https://openalex.org/W2172606448","https://openalex.org/W2213438832","https://openalex.org/W2530006810","https://openalex.org/W2616606085","https://openalex.org/W2905135108","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W2072965782","https://openalex.org/W2140918173","https://openalex.org/W1992460182","https://openalex.org/W54673772","https://openalex.org/W2135152748","https://openalex.org/W798745779","https://openalex.org/W2078696977","https://openalex.org/W2142539551","https://openalex.org/W2007089758","https://openalex.org/W2039793369"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}