{"id":"https://openalex.org/W2470136992","doi":"https://doi.org/10.1007/978-3-319-32859-1_30","title":"A New Bound for the Existence of Differential Field Extensions","display_name":"A New Bound for the Existence of Differential Field Extensions","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2470136992","doi":"https://doi.org/10.1007/978-3-319-32859-1_30","mag":"2470136992"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-32859-1_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32859-1_30","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.manchester.ac.uk/en/publications/ec5da980-016e-4a00-80cc-d5387475db4c","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046052014","display_name":"Richard Gustavson","orcid":"https://orcid.org/0000-0002-0080-7483"},"institutions":[{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard Gustavson","raw_affiliation_strings":["Department of Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, NY, 10016, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, NY, 10016, USA","institution_ids":["https://openalex.org/I121847817"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025623121","display_name":"Omar Le\u00f3n S\u00e1nchez","orcid":null},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Omar Le\u00f3n S\u00e1nchez","raw_affiliation_strings":["Department of Mathematics and Statistics, McMaster University, Hamilton Hall, 1280 Main Street West, Hamilton, ON, L8S 4K1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McMaster University, Hamilton Hall, 1280 Main Street West, Hamilton, ON, L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046052014"],"corresponding_institution_ids":["https://openalex.org/I121847817"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05230964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"358","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","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/T11435","display_name":"Polynomial and algebraic computation","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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/computer-science","display_name":"Computer science","score":0.832234263420105},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5459129810333252},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.46951669454574585},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38669154047966003},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35787320137023926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1318000853061676},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08642736077308655},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05363026261329651}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.832234263420105},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5459129810333252},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.46951669454574585},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38669154047966003},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35787320137023926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1318000853061676},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08642736077308655},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05363026261329651},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-32859-1_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32859-1_30","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pure.atira.dk:openaire/ec5da980-016e-4a00-80cc-d5387475db4c","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/ec5da980-016e-4a00-80cc-d5387475db4c","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gustavson, R & Sanchez, O 2016, A new bound for the existence of differential field extensions. in I S Kotsireas, S M Rump & C K Yap (eds), Mathematical aspects of computer and information sciences : 6th International Conference, MACIS 2015, Berlin, Germany 11-13, 2015. Revised selected papers. Lecture notes in computer science, vol. 9582, Springer Nature, pp. 358-361.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/ec5da980-016e-4a00-80cc-d5387475db4c","is_oa":true,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/a-new-bound-for-the-existence-of-differential-field-extensions(ec5da980-016e-4a00-80cc-d5387475db4c).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Gustavson, R & Sanchez, O 2016, A new bound for the existence of differential field extensions. in I S Kotsireas, S M Rump & C K Yap (eds), Mathematical aspects of computer and information sciences : 6th International Conference, MACIS 2015, Berlin, Germany 11-13, 2015. Revised selected papers. Lecture notes in computer science, vol. 9582, Springer Nature, pp. 358-361.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/ec5da980-016e-4a00-80cc-d5387475db4c","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/ec5da980-016e-4a00-80cc-d5387475db4c","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gustavson, R & Sanchez, O 2016, A new bound for the existence of differential field extensions. in I S Kotsireas, S M Rump & C K Yap (eds), Mathematical aspects of computer and information sciences : 6th International Conference, MACIS 2015, Berlin, Germany 11-13, 2015. Revised selected papers. Lecture notes in computer science, vol. 9582, Springer Nature, pp. 358-361.","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1587647791","https://openalex.org/W1982438618","https://openalex.org/W1986326612","https://openalex.org/W2096856677","https://openalex.org/W2140712161","https://openalex.org/W2269795257","https://openalex.org/W2963252317"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
