{"id":"https://openalex.org/W2008028123","doi":"https://doi.org/10.1007/s00200-002-0112-2","title":"De Nugis Groebnerialium 2: Applying Macaulay's Trick in Order to Easily Write a Gr\u00f6bner Basis","display_name":"De Nugis Groebnerialium 2: Applying Macaulay's Trick in Order to Easily Write a Gr\u00f6bner Basis","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W2008028123","doi":"https://doi.org/10.1007/s00200-002-0112-2","mag":"2008028123"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-002-0112-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-002-0112-2","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","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/A5072975455","display_name":"Ferdinando Mora","orcid":null},"institutions":[{"id":"https://openalex.org/I4210125647","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Genova","ror":"https://ror.org/02v89pq06","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210125647"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ferdinando Mora","raw_affiliation_strings":["DISI, Universit\u00e0 di Genova, Viale Dodecaneso 35, 16146 Genova, Italy (e-mail: theomora@disi.unige.it), , , , , , IT","DISI, Universit\u00e0 di Genova, Viale Dodecaneso 35, 16146 Genova, Italy (e-mail: theomora@disi.unige.it), , IT"],"affiliations":[{"raw_affiliation_string":"DISI, Universit\u00e0 di Genova, Viale Dodecaneso 35, 16146 Genova, Italy (e-mail: theomora@disi.unige.it), , , , , , IT","institution_ids":["https://openalex.org/I83816512","https://openalex.org/I4210125647"]},{"raw_affiliation_string":"DISI, Universit\u00e0 di Genova, Viale Dodecaneso 35, 16146 Genova, Italy (e-mail: theomora@disi.unige.it), , IT","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072975455"],"corresponding_institution_ids":["https://openalex.org/I4210125647","https://openalex.org/I83816512"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.1571,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.72516316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"6","first_page":"437","last_page":"446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9993000030517578,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.9028455018997192},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.7225919961929321},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.7223847508430481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7054583430290222},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5834469795227051},{"id":"https://openalex.org/keywords/monomial-ideal","display_name":"Monomial ideal","score":0.5833398699760437},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.5658482313156128},{"id":"https://openalex.org/keywords/monomial-basis","display_name":"Monomial basis","score":0.43255865573883057},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3183955252170563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17056205868721008},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07701781392097473},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.07418125867843628},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07057565450668335},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06862017512321472},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.053489625453948975},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.037051767110824585},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.03602409362792969}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.9028455018997192},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7225919961929321},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.7223847508430481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7054583430290222},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5834469795227051},{"id":"https://openalex.org/C2777789435","wikidata":"https://www.wikidata.org/wiki/Q19369206","display_name":"Monomial ideal","level":4,"score":0.5833398699760437},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.5658482313156128},{"id":"https://openalex.org/C46132437","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Monomial basis","level":3,"score":0.43255865573883057},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3183955252170563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17056205868721008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07701781392097473},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.07418125867843628},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07057565450668335},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06862017512321472},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.053489625453948975},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.037051767110824585},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.03602409362792969},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-002-0112-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-002-0112-2","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","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":6,"referenced_works":["https://openalex.org/W1594278443","https://openalex.org/W1968936725","https://openalex.org/W1982438618","https://openalex.org/W2088339744","https://openalex.org/W2091826091","https://openalex.org/W2913003212"],"related_works":["https://openalex.org/W1653027350","https://openalex.org/W2017150196","https://openalex.org/W2953213775","https://openalex.org/W4301463618","https://openalex.org/W3000501371","https://openalex.org/W4385473728","https://openalex.org/W2950182907","https://openalex.org/W2025513431","https://openalex.org/W2963289040","https://openalex.org/W2008028123"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}