{"id":"https://openalex.org/W2070075204","doi":"https://doi.org/10.1145/1358190.1358198","title":"PGB","display_name":"PGB","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2070075204","doi":"https://doi.org/10.1145/1358190.1358198","mag":"2070075204"},"language":"en","primary_location":{"id":"doi:10.1145/1358190.1358198","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1358190.1358198","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/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 University, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Johannes Kepler University, 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":0.7286,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72596073,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"41","issue":"3","first_page":"104","last_page":"105"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9916999936103821,"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"}},{"id":"https://openalex.org/T11752","display_name":"Cancer Treatment and Pharmacology","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6242637634277344},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5879428386688232},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5507543683052063},{"id":"https://openalex.org/keywords/software-package","display_name":"Software package","score":0.5477339029312134},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5369387269020081},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.4808710217475891},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45394614338874817},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39340823888778687},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3540511131286621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3029746413230896},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3008994460105896},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18452930450439453},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.056498706340789795}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6242637634277344},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5879428386688232},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5507543683052063},{"id":"https://openalex.org/C3020440742","wikidata":"https://www.wikidata.org/wiki/Q1176855","display_name":"Software package","level":3,"score":0.5477339029312134},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5369387269020081},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4808710217475891},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45394614338874817},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39340823888778687},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3540511131286621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3029746413230896},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3008994460105896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18452930450439453},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.056498706340789795},{"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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1358190.1358198","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1358190.1358198","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W22319829","https://openalex.org/W1976913643","https://openalex.org/W1986264093","https://openalex.org/W1990119084","https://openalex.org/W2045154989","https://openalex.org/W2095764258","https://openalex.org/W2168553897"],"related_works":["https://openalex.org/W2166247150","https://openalex.org/W4243252198","https://openalex.org/W2109507516","https://openalex.org/W2966435978","https://openalex.org/W3012457466","https://openalex.org/W2171317148","https://openalex.org/W2952365340","https://openalex.org/W269245821","https://openalex.org/W1533615590","https://openalex.org/W2092406939"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,31,35],"new":[3],"software":[4],"package":[5,45],"in":[6,20],"the":[7,44,48],"computer":[8],"algebra":[9],"system":[10],"Risa/Asir":[11],"[NT92],":[12],"named":[13],"PGB,":[14],"for":[15,34],"computing":[16],"parametric":[17,27,39],"Gr\u00f6bner":[18,28,32],"bases":[19],"various":[21],"domains":[22],"and":[23],"related":[24],"objects.":[25],"A":[26],"basis":[29,33],"is":[30],"polynomial":[36],"ideal":[37],"with":[38],"coefficients.":[40],"One":[41],"can":[42],"download":[43],"PGB":[46],"from":[47],"following":[49],"website.":[50],"http://www.risc.uni-linz.ac.at/research/compalg/software/":[51]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}