{"id":"https://openalex.org/W1581508527","doi":"https://doi.org/10.1007/3-540-36280-0_21","title":"Tangent Circle Algebras","display_name":"Tangent Circle Algebras","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1581508527","doi":"https://doi.org/10.1007/3-540-36280-0_21","mag":"1581508527"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36280-0_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36280-0_21","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/A5062553445","display_name":"Ivo D\u00fcntsch","orcid":"https://orcid.org/0000-0001-8907-2382"},"institutions":[{"id":"https://openalex.org/I186803428","display_name":"Brock University","ror":"https://ror.org/056am2717","country_code":"CA","type":"education","lineage":["https://openalex.org/I186803428"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ivo D\u00fcntsch","raw_affiliation_strings":["Department of Computer Science, Brock University, St. Catherines, Ontario, L2S 3A1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brock University, St. Catherines, Ontario, L2S 3A1, Canada","institution_ids":["https://openalex.org/I186803428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052285082","display_name":"Marc Roubens","orcid":null},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Marc Roubens","raw_affiliation_strings":["Institute of Mathematics, Universit\u00e9 de Li\u00e8ge, B-4000, Li\u00e8ge, Belgium"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Universit\u00e9 de Li\u00e8ge, B-4000, Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062553445"],"corresponding_institution_ids":["https://openalex.org/I186803428"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3616,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6265533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"300","last_page":"313"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9936000108718872,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9936000108718872,"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":0.9933000206947327,"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":0.9865999817848206,"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/tangent","display_name":"Tangent","score":0.8119348287582397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41655975580215454},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3951989412307739},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25788772106170654}],"concepts":[{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.8119348287582397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41655975580215454},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3951989412307739},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25788772106170654}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-36280-0_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36280-0_21","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":[{"display_name":"Reduced inequalities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W621997620","https://openalex.org/W1485724290","https://openalex.org/W1965302493","https://openalex.org/W1968752549","https://openalex.org/W1975250653","https://openalex.org/W2018944629","https://openalex.org/W2021339822","https://openalex.org/W2054639940","https://openalex.org/W2161484642","https://openalex.org/W2171532310","https://openalex.org/W3026721206","https://openalex.org/W3197565569","https://openalex.org/W4235222789","https://openalex.org/W4246532761","https://openalex.org/W4285719527","https://openalex.org/W4300847665"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}