{"id":"https://openalex.org/W1982582912","doi":"https://doi.org/10.1017/s0960129501003590","title":"Coalgebras of bounded type","display_name":"Coalgebras of bounded type","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W1982582912","doi":"https://doi.org/10.1017/s0960129501003590","mag":"1982582912"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129501003590","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.mathematik.uni-marburg.de/~gumm/Papers/Bounded.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111895663","display_name":"H. Peter Gumm","orcid":null},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. PETER GUMM","raw_affiliation_strings":["Philipps-Universit\u00e4t Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de#TAB#"],"affiliations":[{"raw_affiliation_string":"Philipps-Universit\u00e4t Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de#TAB#","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031417487","display_name":"Tobias Schr\u00f6der","orcid":"https://orcid.org/0000-0002-7113-7464"},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"TOBIAS SCHR\u00d6DER","raw_affiliation_strings":["Philipps-Universit\u00e4t Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de#TAB#"],"affiliations":[{"raw_affiliation_string":"Philipps-Universit\u00e4t Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de#TAB#","institution_ids":["https://openalex.org/I161103922"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.205,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":31,"citation_normalized_percentile":{"value":0.8193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":89},"biblio":{"volume":"12","issue":"5","first_page":"565","last_page":"578"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9981,"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":0.9981,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9977,"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"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9961,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.6338167},{"id":"https://openalex.org/keywords/representation","display_name":"Representation","score":0.6263737}],"concepts":[{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.8367255},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8211062},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.74749804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.70333755},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.6338167},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6263737},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.569266},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35492268},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33496493},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12655208},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129501003590","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.1376","pdf_url":"http://www.mathematik.uni-marburg.de/~gumm/Papers/Bounded.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.1376","pdf_url":"http://www.mathematik.uni-marburg.de/~gumm/Papers/Bounded.pdf","source":{"id":"https://openalex.org/S4306400349","display_name":"CiteSeer X (The Pennsylvania State University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I130769515","host_organization_name":"Pennsylvania State University","host_organization_lineage":["https://openalex.org/I130769515"],"host_organization_lineage_names":["Pennsylvania State University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.47}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":9,"referenced_works":["https://openalex.org/W1984857600","https://openalex.org/W2005080671","https://openalex.org/W2044602322","https://openalex.org/W2046125711","https://openalex.org/W2081620669","https://openalex.org/W2088189323","https://openalex.org/W2095420767","https://openalex.org/W2138785176","https://openalex.org/W36588815"],"related_works":["https://openalex.org/W4297912016","https://openalex.org/W2963741069","https://openalex.org/W2951192905","https://openalex.org/W2303187054","https://openalex.org/W2159694780","https://openalex.org/W2104717233","https://openalex.org/W2102919649","https://openalex.org/W2093450770","https://openalex.org/W2071463650","https://openalex.org/W1982005844"],"abstract_inverted_index":{"We":[0,35],"use":[1],"some":[2],"results":[3],"of":[4,30,41],"Trnkov\u00e1":[5],"to":[6],"show":[7],"first":[8],"that":[9,18],"subcoalgebras":[10],"are":[11],"always":[12],"closed":[13],"under":[14],"finite":[15],"intersections.":[16],"Assuming":[17],"the":[19,31],"type":[20],"functor":[21],"F":[22,33],"is":[23],"bounded,":[24],"we":[25],"obtain":[26],"a":[27],"concrete":[28],"representation":[29],"terminal":[32],"-coalgebra.":[34],"also":[36],"provide":[37],"several":[38],"equivalent":[39],"characterizations":[40],"boundedness.":[42]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1982582912","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-01-19T11:11:09.415156","created_date":"2016-06-24"}