{"id":"https://openalex.org/W2143684958","doi":"https://doi.org/10.1142/s0218196706003116","title":"TAYLOR TERMS, CONSTRAINT SATISFACTION AND THE COMPLEXITY OF POLYNOMIAL EQUATIONS OVER FINITE ALGEBRAS","display_name":"TAYLOR TERMS, CONSTRAINT SATISFACTION AND THE COMPLEXITY OF POLYNOMIAL EQUATIONS OVER FINITE ALGEBRAS","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W2143684958","doi":"https://doi.org/10.1142/s0218196706003116","mag":"2143684958"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196706003116","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196706003116","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5016192081","display_name":"Beno\u00eet Larose","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"BENOIT LAROSE","raw_affiliation_strings":["Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve West, Montr\u00e9al, Qc, Canada, H3G 1M8, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve West, Montr\u00e9al, Qc, Canada, H3G 1M8, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012653383","display_name":"L\u00e1szl\u00f3 Z\u00e1dori","orcid":"https://orcid.org/0000-0002-2383-2294"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L\u00c1SZL\u00d3 Z\u00c1DORI","raw_affiliation_strings":["Bolyai Int\u00e9zet, Aradi v\u00e9rtan\u00fak tere 1, H-6720, Szeged, Hungary"],"affiliations":[{"raw_affiliation_string":"Bolyai Int\u00e9zet, Aradi v\u00e9rtan\u00fak tere 1, H-6720, Szeged, Hungary","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016192081"],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":5.0538,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.95777512,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"16","issue":"03","first_page":"563","last_page":"581"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11567","display_name":"semigroups and automata theory","score":0.9988999962806702,"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/mathematics","display_name":"Mathematics","score":0.8877522349357605},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.5690813064575195},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5591092705726624},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46993571519851685},{"id":"https://openalex.org/keywords/complexity-of-constraint-satisfaction","display_name":"Complexity of constraint satisfaction","score":0.42147067189216614},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40321433544158936},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3706304132938385},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.23340573906898499},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08936533331871033}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8877522349357605},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.5690813064575195},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5591092705726624},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46993571519851685},{"id":"https://openalex.org/C132180345","wikidata":"https://www.wikidata.org/wiki/Q5156628","display_name":"Complexity of constraint satisfaction","level":5,"score":0.42147067189216614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40321433544158936},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3706304132938385},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.23340573906898499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08936533331871033},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196706003116","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196706003116","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.461.5096","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.461.5096","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.hawaii.edu/~williamdemeo/CSP/LaroseZadori-TaylorTerms-2006.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1488282429","https://openalex.org/W1524176804","https://openalex.org/W1565047086","https://openalex.org/W1569172585","https://openalex.org/W1570737750","https://openalex.org/W1571096293","https://openalex.org/W1571873445","https://openalex.org/W1605823266","https://openalex.org/W1811185933","https://openalex.org/W1965377399","https://openalex.org/W1993202907","https://openalex.org/W1999377233","https://openalex.org/W2001346827","https://openalex.org/W2022941646","https://openalex.org/W2025319967","https://openalex.org/W2026745535","https://openalex.org/W2026753685","https://openalex.org/W2028815583","https://openalex.org/W2042426573","https://openalex.org/W2054620325","https://openalex.org/W2055685510","https://openalex.org/W2069500784","https://openalex.org/W2077495253","https://openalex.org/W2080169329","https://openalex.org/W2091667635","https://openalex.org/W2093461317","https://openalex.org/W2118223706","https://openalex.org/W2129023820","https://openalex.org/W2131358503","https://openalex.org/W2134850460","https://openalex.org/W2150339067","https://openalex.org/W2166566648","https://openalex.org/W2913256821","https://openalex.org/W4213009134","https://openalex.org/W4254380579"],"related_works":["https://openalex.org/W2547722307","https://openalex.org/W2131358503","https://openalex.org/W2962837380","https://openalex.org/W4302801350","https://openalex.org/W1765773556","https://openalex.org/W2281104192","https://openalex.org/W2339449034","https://openalex.org/W2247877609","https://openalex.org/W1791050365","https://openalex.org/W4297156249"],"abstract_inverted_index":{"We":[0,20],"study":[1],"the":[2,54],"algorithmic":[3],"complexity":[4],"of":[5,10,25,28,56,66],"determining":[6],"whether":[7],"a":[8,14,18,39,49,64],"system":[9],"polynomial":[11,43],"equations":[12],"over":[13],"finite":[15],"algebra":[16],"admits":[17],"solution.":[19],"characterize,":[21],"within":[22],"various":[23],"families":[24],"algebras,":[26],"which":[27,37,52],"them":[29],"give":[30],"rise":[31],"to":[32],"an":[33],"NP-complete":[34],"problem":[35,40],"and":[36,61,68],"yield":[38],"solvable":[41],"in":[42],"time.":[44],"In":[45],"particular,":[46],"we":[47],"prove":[48],"dichotomy":[50],"result":[51,65],"encompasses":[53],"cases":[55],"lattices,":[57],"rings,":[58],"modules,":[59],"quasigroups":[60],"also":[62],"generalizes":[63],"Goldmann":[67],"Russell":[69],"for":[70],"groups":[71],"[15].":[72]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}