{"id":"https://openalex.org/W1566694407","doi":"https://doi.org/10.1007/3-540-45084-x_3","title":"Passive Complete Orthonomic Systems of PDEs and Involutive Bases of Polynomial Modules","display_name":"Passive Complete Orthonomic Systems of PDEs and Involutive Bases of Polynomial Modules","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1566694407","doi":"https://doi.org/10.1007/3-540-45084-x_3","mag":"1566694407"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45084-x_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45084-x_3","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010091435","display_name":"Joachim Apel","orcid":"https://orcid.org/0000-0001-7843-0914"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Joachim Apel","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t Leipzig, Augustusplatz 10-11, 04109, Leipzig, Germany","Universit\u00e4t Leipzig Mathematisches Institut Leipzig Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t Leipzig, Augustusplatz 10-11, 04109, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Universit\u00e4t Leipzig Mathematisches Institut Leipzig Germany","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010091435"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8309,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85978836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"88","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998000264167786,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9986000061035156,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9961000084877014,"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/polynomial","display_name":"Polynomial","score":0.627920925617218},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.562570333480835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5376978516578674},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5296604037284851},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.43778523802757263},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43427079916000366},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42878806591033936},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3352018892765045},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06331279873847961},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.053905993700027466}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.627920925617218},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.562570333480835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5376978516578674},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5296604037284851},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.43778523802757263},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43427079916000366},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42878806591033936},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3352018892765045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06331279873847961},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.053905993700027466},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45084-x_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45084-x_3","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W346675831","https://openalex.org/W622632975","https://openalex.org/W1495410784","https://openalex.org/W1526181436","https://openalex.org/W1543638401","https://openalex.org/W1560468705","https://openalex.org/W1635682819","https://openalex.org/W2008680854","https://openalex.org/W2037765259","https://openalex.org/W2045942144","https://openalex.org/W2046359229","https://openalex.org/W2051046060","https://openalex.org/W2067305482","https://openalex.org/W2089276609","https://openalex.org/W2093299949","https://openalex.org/W2138402185","https://openalex.org/W2149472484","https://openalex.org/W2171317148","https://openalex.org/W2316899444","https://openalex.org/W3039948875","https://openalex.org/W4238858352","https://openalex.org/W6699353919","https://openalex.org/W6820874368","https://openalex.org/W6830772437"],"related_works":["https://openalex.org/W2019004897","https://openalex.org/W2966199516","https://openalex.org/W2004427275","https://openalex.org/W2962682765","https://openalex.org/W1484255672","https://openalex.org/W1996319902","https://openalex.org/W2009896212","https://openalex.org/W2039810264","https://openalex.org/W4210984194","https://openalex.org/W2075308780"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
