{"id":"https://openalex.org/W1585524257","doi":"https://doi.org/10.1007/3-540-19020-1_32","title":"The shuffle bialgebra","display_name":"The shuffle bialgebra","publication_year":1988,"publication_date":"1988-01-01","ids":{"openalex":"https://openalex.org/W1585524257","doi":"https://doi.org/10.1007/3-540-19020-1_32","mag":"1585524257"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-19020-1_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-19020-1_32","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/A5039949139","display_name":"David Benson","orcid":"https://orcid.org/0009-0009-3447-4849"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David B. Benson","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039949139"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4531,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.69255368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"616","last_page":"637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9940999746322632,"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":0.9940999746322632,"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":0.9843000173568726,"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":0.9799000024795532,"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/bialgebra","display_name":"Bialgebra","score":0.7208762764930725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37021225690841675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22308769822120667},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.17268967628479004},{"id":"https://openalex.org/keywords/hopf-algebra","display_name":"Hopf algebra","score":0.10297444462776184},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10036706924438477}],"concepts":[{"id":"https://openalex.org/C2778676360","wikidata":"https://www.wikidata.org/wiki/Q494141","display_name":"Bialgebra","level":4,"score":0.7208762764930725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37021225690841675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22308769822120667},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.17268967628479004},{"id":"https://openalex.org/C29712632","wikidata":"https://www.wikidata.org/wiki/Q1627597","display_name":"Hopf algebra","level":3,"score":0.10297444462776184},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10036706924438477}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-19020-1_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-19020-1_32","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W21709337","https://openalex.org/W178058081","https://openalex.org/W1503926565","https://openalex.org/W1562657365","https://openalex.org/W1578332044","https://openalex.org/W1865418516","https://openalex.org/W1989146600","https://openalex.org/W1993983161","https://openalex.org/W2028110117","https://openalex.org/W2029500305","https://openalex.org/W2068186388","https://openalex.org/W2073736684","https://openalex.org/W2090925938","https://openalex.org/W2120713972","https://openalex.org/W2148224873","https://openalex.org/W2150320481","https://openalex.org/W2316187542","https://openalex.org/W2532850226","https://openalex.org/W2798613517","https://openalex.org/W2913140786","https://openalex.org/W2915069481","https://openalex.org/W4235731883","https://openalex.org/W4240126131","https://openalex.org/W4249733112"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2466102802","https://openalex.org/W1998344193","https://openalex.org/W4241804160","https://openalex.org/W4285044792","https://openalex.org/W2137072168","https://openalex.org/W2133735712","https://openalex.org/W4225595718","https://openalex.org/W2990499507","https://openalex.org/W2963320533"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":29},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}