{"id":"https://openalex.org/W2259115812","doi":"https://doi.org/10.1007/978-3-319-23660-5_9","title":"Ambiguity of Morphisms in a Free Group","display_name":"Ambiguity of Morphisms in a Free Group","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2259115812","doi":"https://doi.org/10.1007/978-3-319-23660-5_9","mag":"2259115812"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-23660-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_9","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/A5033306888","display_name":"Joel D. Day","orcid":"https://orcid.org/0000-0002-3660-7766"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Joel D. Day","raw_affiliation_strings":["Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055909073","display_name":"Daniel Reidenbach","orcid":"https://orcid.org/0000-0001-7996-5291"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Daniel Reidenbach","raw_affiliation_strings":["Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033306888"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4627,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64466105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"97","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9988999962806702,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.9294995069503784},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.6482512950897217},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.6424561142921448},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.610333263874054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5820932388305664},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5097944140434265},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.5087934136390686},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5024223327636719},{"id":"https://openalex.org/keywords/free-group","display_name":"Free group","score":0.4392157196998596},{"id":"https://openalex.org/keywords/word-problem","display_name":"Word problem (mathematics education)","score":0.43035659193992615},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40618598461151123},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36741501092910767},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3051581382751465},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.22830939292907715},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08672726154327393}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.9294995069503784},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.6482512950897217},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.6424561142921448},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.610333263874054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5820932388305664},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5097944140434265},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.5087934136390686},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5024223327636719},{"id":"https://openalex.org/C77021192","wikidata":"https://www.wikidata.org/wiki/Q431078","display_name":"Free group","level":3,"score":0.4392157196998596},{"id":"https://openalex.org/C90988201","wikidata":"https://www.wikidata.org/wiki/Q255912","display_name":"Word problem (mathematics education)","level":2,"score":0.43035659193992615},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40618598461151123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36741501092910767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3051581382751465},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.22830939292907715},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08672726154327393},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-23660-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-23660-5_9","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":[{"id":"https://metadata.un.org/sdg/4","score":0.4099999964237213,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W96937675","https://openalex.org/W149456706","https://openalex.org/W172706128","https://openalex.org/W770864251","https://openalex.org/W1970263043","https://openalex.org/W1975987235","https://openalex.org/W1981721733","https://openalex.org/W1983893610","https://openalex.org/W1990129203","https://openalex.org/W2006141572","https://openalex.org/W2020651750","https://openalex.org/W2039344234","https://openalex.org/W2046738730","https://openalex.org/W2049780512","https://openalex.org/W2050829703","https://openalex.org/W2087513492","https://openalex.org/W2111725599","https://openalex.org/W2116976042"],"related_works":["https://openalex.org/W2036181040","https://openalex.org/W2130856794","https://openalex.org/W1523052313","https://openalex.org/W2116135440","https://openalex.org/W1491980054","https://openalex.org/W1978362621","https://openalex.org/W1511851241","https://openalex.org/W1975351486","https://openalex.org/W2007611208","https://openalex.org/W2075668605"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
