{"id":"https://openalex.org/W1995529640","doi":"https://doi.org/10.1016/0166-218x(91)90105-6","title":"Equations for the projective closure and effective Nullstellensatz","display_name":"Equations for the projective closure and effective Nullstellensatz","publication_year":1991,"publication_date":"1991-11-01","ids":{"openalex":"https://openalex.org/W1995529640","doi":"https://doi.org/10.1016/0166-218x(91)90105-6","mag":"1995529640"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(91)90105-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(91)90105-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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/A5000074206","display_name":"Leandro Caniglia","orcid":"https://orcid.org/0009-0009-0134-1193"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"L. Caniglia","raw_affiliation_strings":["Instituto de Matematica, Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Viamonte 1636, (1055) Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matematica, Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Viamonte 1636, (1055) Buenos Aires, Argentina","institution_ids":["https://openalex.org/I151201029"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111902088","display_name":"Andr\u00e9 Galligo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Galligo","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Universit\u00e9de Nice, Parc Valrose, 06034 Nice cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Universit\u00e9de Nice, Parc Valrose, 06034 Nice cedex, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009389655","display_name":"Joos Heintz","orcid":null},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"J. Heintz","raw_affiliation_strings":["Instituto de Matematica, Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Viamonte 1636, (1055) Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matematica, Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Viamonte 1636, (1055) Buenos Aires, Argentina","institution_ids":["https://openalex.org/I151201029"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.9888,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.72330375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"33","issue":"1-3","first_page":"11","last_page":"23"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9983999729156494,"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/T11130","display_name":"Coding theory and cryptography","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.862748384475708},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.6497830748558044},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5898637771606445},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.5819572806358337},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5765336155891418},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.562388002872467},{"id":"https://openalex.org/keywords/affine-variety","display_name":"Affine variety","score":0.5404809713363647},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4737720787525177},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.4601503014564514},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4389657974243164},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4130377769470215},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39444488286972046},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3337847888469696},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24634739756584167},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16785791516304016},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.1252593994140625},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11372590065002441}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.862748384475708},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.6497830748558044},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5898637771606445},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.5819572806358337},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5765336155891418},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.562388002872467},{"id":"https://openalex.org/C185579658","wikidata":"https://www.wikidata.org/wiki/Q3554813","display_name":"Affine variety","level":3,"score":0.5404809713363647},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4737720787525177},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.4601503014564514},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4389657974243164},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4130377769470215},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39444488286972046},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3337847888469696},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24634739756584167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16785791516304016},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.1252593994140625},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11372590065002441},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(91)90105-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(91)90105-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W40451353","https://openalex.org/W173803105","https://openalex.org/W1505369303","https://openalex.org/W1524190946","https://openalex.org/W1535234872","https://openalex.org/W1561492443","https://openalex.org/W1990618633","https://openalex.org/W1996344378","https://openalex.org/W2013504313","https://openalex.org/W2035153735","https://openalex.org/W2037615924","https://openalex.org/W2055804172","https://openalex.org/W2055909024","https://openalex.org/W2069699867","https://openalex.org/W2077725083","https://openalex.org/W2082002555","https://openalex.org/W2282767181","https://openalex.org/W2443798127","https://openalex.org/W2677637286","https://openalex.org/W4231656836","https://openalex.org/W4242985105","https://openalex.org/W6601642549","https://openalex.org/W6607199307","https://openalex.org/W6630274136","https://openalex.org/W6631336743","https://openalex.org/W6631957938","https://openalex.org/W6633675576","https://openalex.org/W6820634450"],"related_works":["https://openalex.org/W2342275030","https://openalex.org/W40451353","https://openalex.org/W2985461005","https://openalex.org/W3122768947","https://openalex.org/W1584436726","https://openalex.org/W2949625617","https://openalex.org/W1998899281","https://openalex.org/W2761764632","https://openalex.org/W2022948394","https://openalex.org/W2963289750"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
