{"id":"https://openalex.org/W1990119084","doi":"https://doi.org/10.1145/1277548.1277589","title":"A speed-up of the algorithm for computing comprehensive Gr\u00f6bner systems","display_name":"A speed-up of the algorithm for computing comprehensive Gr\u00f6bner systems","publication_year":2007,"publication_date":"2007-07-29","ids":{"openalex":"https://openalex.org/W1990119084","doi":"https://doi.org/10.1145/1277548.1277589","mag":"1990119084"},"language":"en","primary_location":{"id":"doi:10.1145/1277548.1277589","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1277548.1277589","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 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/A5011766857","display_name":"Katsusuke Nabeshima","orcid":"https://orcid.org/0000-0003-2659-9931"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Katsusuke Nabeshima","raw_affiliation_strings":["Johannes Kepler Universit\u00e4t Linz, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Johannes Kepler Universit\u00e4t Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011766857"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":null,"apc_paid":null,"fwci":2.246,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.87035922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"299","last_page":"306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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":0.9998000264167786,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6822171807289124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5785174369812012},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.548957109451294},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4108229875564575}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6822171807289124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5785174369812012},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.548957109451294},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4108229875564575},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1277548.1277589","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1277548.1277589","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.4588","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.4588","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.risc.uni-linz.ac.at/publications/download/risc_3154/Issa2007_nabeshi.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W22319829","https://openalex.org/W1976913643","https://openalex.org/W1986264093","https://openalex.org/W1998797986","https://openalex.org/W2002966902","https://openalex.org/W2045154989","https://openalex.org/W2051458738","https://openalex.org/W2057105460","https://openalex.org/W2057932566","https://openalex.org/W2070075204","https://openalex.org/W2078863580","https://openalex.org/W2095764258","https://openalex.org/W2168553897","https://openalex.org/W3007626758"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829"],"abstract_inverted_index":{"We":[0,96],"introduce":[1],"a":[2,79],"new":[3,69,85],"algorithm":[4,13,21,70,86,106,110],"for":[5,14,30],"computing":[6,15],"comprehensive":[7,16,31,81],"Gr\u00f6bner":[8,17,32,82],"systems.There":[9],"exists":[10],"the":[11,27,35,91,98,104],"Suzuki-Sato":[12,20,105],"systems.":[18,33],"The":[19],"often":[22],"creates":[23],"overmuch":[24],"cells":[25,57],"of":[26,56,58,65,100],"parameter":[28,59],"space":[29,60],"Therefore":[34],"computation":[36],"becomes":[37],"heavy.":[38],"However,":[39],"by":[40],"using":[41],"inequations":[42],"(\"not":[43],"equal":[44],"zero\"),":[45],"we":[46],"can":[47],"obtain":[48],"different":[49],"cells.":[50],"In":[51],"many":[52,113],"cases,":[53],"this":[54],"number":[55],"is":[61,71],"smaller":[62],"than":[63,74],"that":[64],"Suzuki-Sato's.":[66],"Therefore,":[67],"our":[68,101,109],"more":[72],"efficient":[73],"Suzuki-Sato's":[75],"one,":[76],"and":[77,107],"outputs":[78],"nice":[80],"system.":[83],"Our":[84],"has":[87],"been":[88],"implemented":[89],"in":[90,112],"computer":[92],"algebra":[93],"system":[94],"Risa/Asir":[95],"compare":[97],"runtime":[99],"implementation":[102],"with":[103],"find":[108],"superior":[111],"cases.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
