{"id":"https://openalex.org/W12655809","doi":"https://doi.org/10.1023/a:1022996615890","title":"Improved Kolchin\u2013Ritt Algorithm","display_name":"Improved Kolchin\u2013Ritt Algorithm","publication_year":2003,"publication_date":"2003-03-01","ids":{"openalex":"https://openalex.org/W12655809","doi":"https://doi.org/10.1023/a:1022996615890","mag":"12655809"},"language":"en","primary_location":{"id":"doi:10.1023/a:1022996615890","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022996615890","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5111411953","display_name":"Giuseppa Carra'-Ferro","orcid":null},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"G. Carra'Ferro","raw_affiliation_strings":["Department of Mathematics, University of Catania, Viale A. Doria 6, 95125, Catania, Italy","Department of Mathematics, University of Catania Viale A. Doria, 6, 95125 Catania, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Catania, Viale A. Doria 6, 95125, Catania, Italy","institution_ids":["https://openalex.org/I39063666"]},{"raw_affiliation_string":"Department of Mathematics, University of Catania Viale A. Doria, 6, 95125 Catania, Italy#TAB#","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065468649","display_name":"Vladimir P. Gerdt","orcid":"https://orcid.org/0000-0002-0825-1811"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. P. Gerdt","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia gerdt@jinr.ru","Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980 Russia gerdt@jinr.ru carra@dmi.unict.it#TAB#"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia gerdt@jinr.ru","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980 Russia gerdt@jinr.ru carra@dmi.unict.it#TAB#","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111411953"],"corresponding_institution_ids":["https://openalex.org/I39063666"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.00161603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"29","issue":"2","first_page":"83","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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":0.9997000098228455,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9868000149726868,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9807000160217285,"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/computation","display_name":"Computation","score":0.7068911790847778},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6660351157188416},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.604669988155365},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5580941438674927},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5543924570083618},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4983556270599365},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4904446303844452},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3932710289955139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37125149369239807},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15371298789978027},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.059853821992874146},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.050223350524902344}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7068911790847778},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6660351157188416},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.604669988155365},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5580941438674927},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5543924570083618},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4983556270599365},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4904446303844452},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3932710289955139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37125149369239807},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15371298789978027},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.059853821992874146},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.050223350524902344},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1022996615890","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022996615890","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"},{"id":"pmh:oai:jdsweb.jinr.ru:269","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1023/A:1022996615890","pdf_url":null,"source":{"id":"https://openalex.org/S4306401136","display_name":"High-Energy Physics Literature Database (CERN, DESY, Fermilab, IHEP, and SLAC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1510281526","https://openalex.org/W1554059926","https://openalex.org/W1980662086","https://openalex.org/W2014620040","https://openalex.org/W2046652205","https://openalex.org/W2054452549","https://openalex.org/W2077725083","https://openalex.org/W2089954342","https://openalex.org/W2168552854","https://openalex.org/W2752853835","https://openalex.org/W4238858352"],"related_works":["https://openalex.org/W2152992791","https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2112835755","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2349674371","https://openalex.org/W4291951920","https://openalex.org/W2097495471","https://openalex.org/W2047656848"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}