{"id":"https://openalex.org/W2002784177","doi":"https://doi.org/10.1007/bf00370831","title":"A note on natural numbers objects in monoidal categories","display_name":"A note on natural numbers objects in monoidal categories","publication_year":1989,"publication_date":"1989-09-01","ids":{"openalex":"https://openalex.org/W2002784177","doi":"https://doi.org/10.1007/bf00370831","mag":"2002784177"},"language":"en","primary_location":{"id":"doi:10.1007/bf00370831","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00370831","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","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/A5007782198","display_name":"C. Barry Jay","orcid":null},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"C. Barry Jay","raw_affiliation_strings":["Department of Mathematics, University of Ottawa, 585 King Edward, KIN 6N5, Ottawa, Canada","Department of Mathematics , University of Ottawa , Ottawa, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Ottawa, 585 King Edward, KIN 6N5, Ottawa, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"Department of Mathematics , University of Ottawa , Ottawa, Canada","institution_ids":["https://openalex.org/I153718931"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007782198"],"corresponding_institution_ids":["https://openalex.org/I153718931"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.574,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57593835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"3","first_page":"389","last_page":"393"},"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":0.9977999925613403,"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":0.9977999925613403,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9848999977111816,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.972599983215332,"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/symmetric-monoidal-category","display_name":"Symmetric monoidal category","score":0.7118496894836426},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6694057583808899},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6006402373313904},{"id":"https://openalex.org/keywords/closed-monoidal-category","display_name":"Closed monoidal category","score":0.5439261794090271},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5053034424781799},{"id":"https://openalex.org/keywords/computational-linguistics","display_name":"Computational linguistics","score":0.49401479959487915},{"id":"https://openalex.org/keywords/enriched-category","display_name":"Enriched category","score":0.4900859594345093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4794405996799469},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.4749027490615845},{"id":"https://openalex.org/keywords/natural-language","display_name":"Natural language","score":0.4648085832595825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4624832570552826},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.4547306001186371},{"id":"https://openalex.org/keywords/monoidal-category","display_name":"Monoidal category","score":0.43502187728881836},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3535923361778259},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34478139877319336},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.26520663499832153},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2572488784790039},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2289319932460785},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18870240449905396},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08923351764678955},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.060955971479415894},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.056550443172454834}],"concepts":[{"id":"https://openalex.org/C98912367","wikidata":"https://www.wikidata.org/wiki/Q17103860","display_name":"Symmetric monoidal category","level":3,"score":0.7118496894836426},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6694057583808899},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6006402373313904},{"id":"https://openalex.org/C56208153","wikidata":"https://www.wikidata.org/wiki/Q5135347","display_name":"Closed monoidal category","level":4,"score":0.5439261794090271},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5053034424781799},{"id":"https://openalex.org/C155092808","wikidata":"https://www.wikidata.org/wiki/Q182557","display_name":"Computational linguistics","level":2,"score":0.49401479959487915},{"id":"https://openalex.org/C156163052","wikidata":"https://www.wikidata.org/wiki/Q5379515","display_name":"Enriched category","level":3,"score":0.4900859594345093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4794405996799469},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.4749027490615845},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.4648085832595825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4624832570552826},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.4547306001186371},{"id":"https://openalex.org/C2779904274","wikidata":"https://www.wikidata.org/wiki/Q1945014","display_name":"Monoidal category","level":2,"score":0.43502187728881836},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3535923361778259},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34478139877319336},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.26520663499832153},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2572488784790039},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2289319932460785},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18870240449905396},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08923351764678955},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.060955971479415894},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.056550443172454834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf00370831","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00370831","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1507082320","https://openalex.org/W2119642422","https://openalex.org/W2162340558","https://openalex.org/W4230069580"],"related_works":["https://openalex.org/W4221164648","https://openalex.org/W2150762370","https://openalex.org/W4387799810","https://openalex.org/W2288880934","https://openalex.org/W2156541639","https://openalex.org/W2410174142","https://openalex.org/W1926828240","https://openalex.org/W2126973105","https://openalex.org/W2532138094","https://openalex.org/W1507082320"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
