{"id":"https://openalex.org/W1967897425","doi":"https://doi.org/10.1145/1504347.1504355","title":"General polynomial reduction with TH 9 OREM 8 functors","display_name":"General polynomial reduction with TH 9 OREM 8 functors","publication_year":2009,"publication_date":"2009-02-06","ids":{"openalex":"https://openalex.org/W1967897425","doi":"https://doi.org/10.1145/1504347.1504355","mag":"1967897425"},"language":"en","primary_location":{"id":"doi:10.1145/1504347.1504355","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1504347.1504355","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/A5017274120","display_name":"Bruno Buchberger","orcid":null},"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":"Bruno Buchberger","raw_affiliation_strings":["Johannes Kepler University, Schloss Hagenberg, Austria","Johannes Kepler University, Schloss Hagenberg, Austria#TAB#"],"affiliations":[{"raw_affiliation_string":"Johannes Kepler University, Schloss Hagenberg, Austria","institution_ids":[]},{"raw_affiliation_string":"Johannes Kepler University, Schloss Hagenberg, Austria#TAB#","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024016986","display_name":"Georg Regensburger","orcid":"https://orcid.org/0000-0001-7735-3726"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Georg Regensburger","raw_affiliation_strings":["The Johann Radon Institute for Computational and Applied Mathematics (RICAM)"],"affiliations":[{"raw_affiliation_string":"The Johann Radon Institute for Computational and Applied Mathematics (RICAM)","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027796055","display_name":"Markus Rosenkranz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Markus Rosenkranz","raw_affiliation_strings":["The Johann Radon Institute for Computational and Applied Mathematics (RICAM)"],"affiliations":[{"raw_affiliation_string":"The Johann Radon Institute for Computational and Applied Mathematics (RICAM)","institution_ids":["https://openalex.org/I4210158379"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045905146","display_name":"Loredana Tec","orcid":null},"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":false,"raw_author_name":"Loredana Tec","raw_affiliation_strings":["Johannes Kepler University, Schloss Hagenberg, Austria","Johannes Kepler University, Schloss Hagenberg, Austria#TAB#"],"affiliations":[{"raw_affiliation_string":"Johannes Kepler University, Schloss Hagenberg, Austria","institution_ids":[]},{"raw_affiliation_string":"Johannes Kepler University, Schloss Hagenberg, Austria#TAB#","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017274120"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":null,"apc_paid":null,"fwci":1.0283,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74746499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"3","first_page":"135","last_page":"137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9995999932289124,"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":0.9995999932289124,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9988999962806702,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7705798149108887},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7159079909324646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5899662375450134},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5106194615364075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3907875418663025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34894686937332153},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08692201972007751},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08494269847869873}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7705798149108887},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7159079909324646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5899662375450134},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5106194615364075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3907875418663025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34894686937332153},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08692201972007751},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08494269847869873}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1504347.1504355","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1504347.1504355","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W581424241","https://openalex.org/W1999837891","https://openalex.org/W2000705513","https://openalex.org/W2004746351","https://openalex.org/W2036478491","https://openalex.org/W2039225816","https://openalex.org/W2039864462","https://openalex.org/W2042178119","https://openalex.org/W2045351579","https://openalex.org/W2071756987","https://openalex.org/W2108301065","https://openalex.org/W2133093325","https://openalex.org/W4233685614","https://openalex.org/W6676061440"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1615487630","https://openalex.org/W2997091376","https://openalex.org/W95605005","https://openalex.org/W2142802962","https://openalex.org/W237654051","https://openalex.org/W4288266587","https://openalex.org/W4285708448","https://openalex.org/W3027723005","https://openalex.org/W4299915272"],"abstract_inverted_index":{"poster":[0],"Share":[1],"on":[2,155],"General":[3],"polynomial":[4],"reduction":[5],"with":[6],"TH":[7],"9":[8],"OREM":[9],"8":[10],"functors:":[11],"applications":[12],"to":[13,165],"integro-differential":[14],"operators":[15],"and":[16,43,53,67,77,132],"polynomials":[17],"Authors:":[18],"Bruno":[19],"Buchberger":[20],"Johannes":[21,27,85,91],"Kepler":[22,28,86,92],"University,":[23,29,87,93],"Schloss":[24,30,88,94],"Hagenberg,":[25,31,89,95],"Austria":[26,90],"AustriaView":[32,96],"Profile":[33,57,81,97],",":[34,58,82],"Georg":[35],"Regensburger":[36],"The":[37,47,61,71],"Johann":[38,48,62,72],"Radon":[39,49,63,73],"Institute":[40,50,64,74],"for":[41,51,65,75],"Computational":[42,52,66,76],"Applied":[44,54,68,78],"Mathematics":[45,55,69,79],"(RICAM)":[46,70],"(RICAM)View":[56,80],"Markus":[59],"Rosenkranz":[60],"Loredana":[83],"Tec":[84],"Authors":[98],"Info":[99],"&":[100],"Claims":[101],"ACM":[102],"Communications":[103],"in":[104,164],"Computer":[105],"AlgebraVolume":[106],"42Issue":[107],"3September":[108],"2008pp":[109],"135\u2013137https://doi.org/10.1145/1504347.1504355Published:06":[110],"February":[111],"2009Publication":[112],"History":[113],"4citation120DownloadsMetricsTotal":[114],"Citations4Total":[115],"Downloads120Last":[116],"12":[117],"Months0Last":[118],"6":[119],"weeks0":[120],"Get":[121],"Citation":[122,124,161],"AlertsNew":[123,160],"Alert":[125],"added!This":[126],"alert":[127,152],"has":[128,147],"been":[129,148],"successfully":[130],"added":[131],"will":[133,137],"be":[134,138],"sent":[135],"to:You":[136],"notified":[139],"whenever":[140],"a":[141],"record":[142],"that":[143],"you":[144],"have":[145],"chosen":[146],"cited.To":[149],"manage":[150],"your":[151,166],"preferences,":[153],"click":[154],"the":[156],"button":[157],"below.Manage":[158],"my":[159],"Alert!Please":[162],"log":[163],"account":[167],"Publisher":[168],"SiteGet":[169],"Access":[170]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
