{"id":"https://openalex.org/W2048891273","doi":"https://doi.org/10.1145/1145768.1145802","title":"An algorithm for the computation of the radical of an ideal","display_name":"An algorithm for the computation of the radical of an ideal","publication_year":2006,"publication_date":"2006-07-09","ids":{"openalex":"https://openalex.org/W2048891273","doi":"https://doi.org/10.1145/1145768.1145802","mag":"2048891273"},"language":"en","primary_location":{"id":"doi:10.1145/1145768.1145802","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1145768.1145802","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-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/A5033289954","display_name":"Santiago Laplagne","orcid":"https://orcid.org/0000-0002-3607-8235"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Santiago Laplagne","raw_affiliation_strings":["Universidad de Buenos Aires, Buenos Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"Universidad de Buenos Aires, Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033289954"],"corresponding_institution_ids":["https://openalex.org/I24354313"],"apc_list":null,"apc_paid":null,"fwci":2.8789,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.89996884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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":0.9753999710083008,"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/ideal","display_name":"Ideal (ethics)","score":0.7767372131347656},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7048077583312988},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6768216490745544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6168105006217957},{"id":"https://openalex.org/keywords/radical-of-an-ideal","display_name":"Radical of an ideal","score":0.457744300365448},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4438626766204834},{"id":"https://openalex.org/keywords/algorithm-design","display_name":"Algorithm design","score":0.4236280024051666},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.36498838663101196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2547433376312256},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.2429368495941162}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7767372131347656},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7048077583312988},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6768216490745544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6168105006217957},{"id":"https://openalex.org/C124973616","wikidata":"https://www.wikidata.org/wiki/Q1199022","display_name":"Radical of an ideal","level":5,"score":0.457744300365448},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4438626766204834},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.4236280024051666},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.36498838663101196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2547433376312256},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.2429368495941162},{"id":"https://openalex.org/C156923205","wikidata":"https://www.wikidata.org/wiki/Q2905043","display_name":"Principal ideal ring","level":4,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1145768.1145802","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1145768.1145802","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"}],"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/W64656188","https://openalex.org/W175928529","https://openalex.org/W188825013","https://openalex.org/W1483218536","https://openalex.org/W1492496705","https://openalex.org/W1512914916","https://openalex.org/W1535646580","https://openalex.org/W1579709540","https://openalex.org/W1781640942","https://openalex.org/W1989763544","https://openalex.org/W2017483928","https://openalex.org/W2031399497","https://openalex.org/W2032308974","https://openalex.org/W2035153735","https://openalex.org/W2051998660","https://openalex.org/W2055804172","https://openalex.org/W2066181227","https://openalex.org/W2071231019","https://openalex.org/W2076593831","https://openalex.org/W2175098281","https://openalex.org/W2319466955","https://openalex.org/W4250501683","https://openalex.org/W4292096448","https://openalex.org/W4300166240"],"related_works":["https://openalex.org/W247638911","https://openalex.org/W4385431569","https://openalex.org/W2352590024","https://openalex.org/W2388622165","https://openalex.org/W1712836771","https://openalex.org/W2963679959","https://openalex.org/W1572523360","https://openalex.org/W2094561988","https://openalex.org/W2160601578","https://openalex.org/W2516440660"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,15,62],"new":[3],"algorithm":[4,42,65],"for":[5],"the":[6,9,33,36,41,53],"computation":[7],"of":[8,11],"radical":[10],"an":[12],"ideal":[13],"in":[14,58,67],"polynomial":[16],"ring.":[17],"In":[18,40],"recent":[19],"years":[20],"many":[21],"algorithms":[22],"have":[23],"been":[24],"proposed.":[25],"A":[26],"common":[27],"technique":[28],"used":[29],"is":[30,66],"to":[31,35],"reduce":[32],"problem":[34],"zero":[37],"dimensional":[38],"case.":[39],"we":[43,46,51],"present":[44],"here,":[45],"use":[47],"this":[48],"reduction,":[49],"but":[50],"avoid":[52],"redundant":[54],"components":[55],"that":[56],"appeared":[57],"other":[59],"algorithms.":[60],"As":[61],"result,":[63],"our":[64],"some":[68],"cases":[69],"more":[70],"efficient.":[71]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"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"}
