{"id":"https://openalex.org/W329095655","doi":"https://doi.org/10.1007/s10485-016-9468-5","title":"Remarks on Units of Skew Monoidal Categories","display_name":"Remarks on Units of Skew Monoidal Categories","publication_year":2016,"publication_date":"2016-10-04","ids":{"openalex":"https://openalex.org/W329095655","doi":"https://doi.org/10.1007/s10485-016-9468-5","mag":"329095655"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-016-9468-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-016-9468-5","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","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/A5047740742","display_name":"Jim Andrianopoulos","orcid":"https://orcid.org/0000-0002-7454-513X"},"institutions":[{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Jim Andrianopoulos","raw_affiliation_strings":["Macquarie University Faculty of Science, Sydney, Australia","Macquarie University Faculty of Science"],"raw_orcid":"https://orcid.org/0000-0002-7454-513X","affiliations":[{"raw_affiliation_string":"Macquarie University Faculty of Science, Sydney, Australia","institution_ids":["https://openalex.org/I99043593"]},{"raw_affiliation_string":"Macquarie University Faculty of Science","institution_ids":["https://openalex.org/I99043593"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047740742"],"corresponding_institution_ids":["https://openalex.org/I99043593"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00176448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"25","issue":"5","first_page":"863","last_page":"873"},"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":0.9980999827384949,"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":0.9980999827384949,"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":0.9925000071525574,"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":0.9794999957084656,"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/skew","display_name":"Skew","score":0.8003630638122559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7386635541915894},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6878591775894165},{"id":"https://openalex.org/keywords/enriched-category","display_name":"Enriched category","score":0.5851372480392456},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.5666230916976929},{"id":"https://openalex.org/keywords/closed-monoidal-category","display_name":"Closed monoidal category","score":0.5598158240318298},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.5536299347877502},{"id":"https://openalex.org/keywords/monoidal-category","display_name":"Monoidal category","score":0.49633699655532837},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.48034656047821045},{"id":"https://openalex.org/keywords/higher-category-theory","display_name":"Higher category theory","score":0.45059096813201904},{"id":"https://openalex.org/keywords/symmetric-monoidal-category","display_name":"Symmetric monoidal category","score":0.41788196563720703},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4124356210231781},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3285056948661804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19932320713996887},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0443156361579895}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.8003630638122559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7386635541915894},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6878591775894165},{"id":"https://openalex.org/C156163052","wikidata":"https://www.wikidata.org/wiki/Q5379515","display_name":"Enriched category","level":3,"score":0.5851372480392456},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.5666230916976929},{"id":"https://openalex.org/C56208153","wikidata":"https://www.wikidata.org/wiki/Q5135347","display_name":"Closed monoidal category","level":4,"score":0.5598158240318298},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.5536299347877502},{"id":"https://openalex.org/C2779904274","wikidata":"https://www.wikidata.org/wiki/Q1945014","display_name":"Monoidal category","level":2,"score":0.49633699655532837},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.48034656047821045},{"id":"https://openalex.org/C76069219","wikidata":"https://www.wikidata.org/wiki/Q5758318","display_name":"Higher category theory","level":4,"score":0.45059096813201904},{"id":"https://openalex.org/C98912367","wikidata":"https://www.wikidata.org/wiki/Q17103860","display_name":"Symmetric monoidal category","level":3,"score":0.41788196563720703},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4124356210231781},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3285056948661804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19932320713996887},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0443156361579895},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-016-9468-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-016-9468-5","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1508490157","https://openalex.org/W1669571699","https://openalex.org/W2046449629","https://openalex.org/W2046600537","https://openalex.org/W2121576397","https://openalex.org/W2161616972","https://openalex.org/W2952566450","https://openalex.org/W2963212557","https://openalex.org/W4253891598"],"related_works":["https://openalex.org/W2288880934","https://openalex.org/W2150762370","https://openalex.org/W2156541639","https://openalex.org/W2410174142","https://openalex.org/W3103633364","https://openalex.org/W1681143088","https://openalex.org/W4387799810","https://openalex.org/W2532138094","https://openalex.org/W1926828240","https://openalex.org/W1986885420"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}