{"id":"https://openalex.org/W1995354113","doi":"https://doi.org/10.1007/s10485-013-9347-2","title":"Two Ways to Centralizers of Equivalence Relations","display_name":"Two Ways to Centralizers of Equivalence Relations","publication_year":2013,"publication_date":"2013-12-03","ids":{"openalex":"https://openalex.org/W1995354113","doi":"https://doi.org/10.1007/s10485-013-9347-2","mag":"1995354113"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-013-9347-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-013-9347-2","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","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/A5066229733","display_name":"Dominique Bourn","orcid":"https://orcid.org/0000-0002-6774-1896"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dominique Bourn","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es, Universit\u00e9 du Littoral, 50 Rue F. Buisson, BP 699, 62228, Calais Cedex, France","Universit\u00e9 du Littoral"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es, Universit\u00e9 du Littoral, 50 Rue F. Buisson, BP 699, 62228, Calais Cedex, France","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I2802487185"]},{"raw_affiliation_string":"Universit\u00e9 du Littoral","institution_ids":["https://openalex.org/I2802487185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066229733"],"corresponding_institution_ids":["https://openalex.org/I2802487185","https://openalex.org/I4210155549"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3796,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76985777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"5-6","first_page":"833","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9995999932289124,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fibration","display_name":"Fibration","score":0.8517653942108154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7910715341567993},{"id":"https://openalex.org/keywords/cartesian-closed-category","display_name":"Cartesian closed category","score":0.7653805613517761},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.755437433719635},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6246491074562073},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5307471752166748},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5180730819702148},{"id":"https://openalex.org/keywords/centralizer-and-normalizer","display_name":"Centralizer and normalizer","score":0.46245288848876953},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.449083536863327},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41925686597824097},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34819740056991577},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.14535558223724365},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.07646971940994263},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07278221845626831},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.054219216108322144}],"concepts":[{"id":"https://openalex.org/C54486226","wikidata":"https://www.wikidata.org/wiki/Q493941","display_name":"Fibration","level":3,"score":0.8517653942108154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7910715341567993},{"id":"https://openalex.org/C171032842","wikidata":"https://www.wikidata.org/wiki/Q1725874","display_name":"Cartesian closed category","level":2,"score":0.7653805613517761},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.755437433719635},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6246491074562073},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5307471752166748},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5180730819702148},{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.46245288848876953},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.449083536863327},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41925686597824097},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34819740056991577},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.14535558223724365},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.07646971940994263},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07278221845626831},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.054219216108322144}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-013-9347-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-013-9347-2","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W150455575","https://openalex.org/W259825634","https://openalex.org/W638225813","https://openalex.org/W1975419865","https://openalex.org/W1991774721","https://openalex.org/W2035538171","https://openalex.org/W2037160778","https://openalex.org/W2042312812","https://openalex.org/W2070691582","https://openalex.org/W2075013969","https://openalex.org/W2078588079","https://openalex.org/W2095401538","https://openalex.org/W2523171324","https://openalex.org/W2752228007","https://openalex.org/W2964265650"],"related_works":["https://openalex.org/W2963535804","https://openalex.org/W2952889863","https://openalex.org/W2348675898","https://openalex.org/W2059741426","https://openalex.org/W1546401445","https://openalex.org/W2561344538","https://openalex.org/W2977487684","https://openalex.org/W2971738326","https://openalex.org/W2017756151","https://openalex.org/W3121188920"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}