{"id":"https://openalex.org/W1547751563","doi":"https://doi.org/10.1007/bfb0032066","title":"Equational formulas in order-sorted algebras","display_name":"Equational formulas in order-sorted algebras","publication_year":2005,"publication_date":"2005-12-11","ids":{"openalex":"https://openalex.org/W1547751563","doi":"https://doi.org/10.1007/bfb0032066","mag":"1547751563"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0032066","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0032066","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5009302133","display_name":"Hubert Comon","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hubert Comon","raw_affiliation_strings":["CNRS and LRI, Universit\u00e9 de Paris Sud, Bat. 490, 91405, Orsay cedex, France","CNRS and LRI, Universit\u00e9 de Paris-Sud, Orsay cedex, France"],"affiliations":[{"raw_affiliation_string":"CNRS and LRI, Universit\u00e9 de Paris Sud, Bat. 490, 91405, Orsay cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I204730241","https://openalex.org/I4210144804","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS and LRI, Universit\u00e9 de Paris-Sud, Orsay cedex, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210144804","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009302133"],"corresponding_institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210144804"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4986,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.63612951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"674","last_page":"688"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9972000122070312,"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/decidability","display_name":"Decidability","score":0.8390752077102661},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.7657475471496582},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7555996179580688},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5638859868049622},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5582609176635742},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5482235550880432},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5142869353294373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4847961962223053},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4732953906059265},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4500961899757385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4057421088218689},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36729955673217773},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20614203810691833},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20451998710632324},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15785712003707886},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1451670527458191}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8390752077102661},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.7657475471496582},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7555996179580688},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5638859868049622},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5582609176635742},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5482235550880432},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5142869353294373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4847961962223053},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4732953906059265},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4500961899757385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4057421088218689},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36729955673217773},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20614203810691833},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20451998710632324},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15785712003707886},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1451670527458191},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0032066","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0032066","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W60619409","https://openalex.org/W174440544","https://openalex.org/W196411404","https://openalex.org/W1528430173","https://openalex.org/W1601086057","https://openalex.org/W1602567617","https://openalex.org/W1606504862","https://openalex.org/W2010104109","https://openalex.org/W2022060249","https://openalex.org/W2033074970","https://openalex.org/W2065333363","https://openalex.org/W2073492176","https://openalex.org/W2074030070","https://openalex.org/W2077592849","https://openalex.org/W2097966390","https://openalex.org/W2127971324","https://openalex.org/W2271223401","https://openalex.org/W2574677321","https://openalex.org/W2912570991","https://openalex.org/W3022794709","https://openalex.org/W4249946277","https://openalex.org/W6631565457","https://openalex.org/W6667023477"],"related_works":["https://openalex.org/W2972379433","https://openalex.org/W4394650907","https://openalex.org/W2331020993","https://openalex.org/W4383764068","https://openalex.org/W154364797","https://openalex.org/W4254119641","https://openalex.org/W1481826604","https://openalex.org/W3196207352","https://openalex.org/W3163386529","https://openalex.org/W4285722644"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
