{"id":"https://openalex.org/W3050765222","doi":"https://doi.org/10.1007/s10485-020-09607-9","title":"The Category of Factorization","display_name":"The Category of Factorization","publication_year":2020,"publication_date":"2020-08-17","ids":{"openalex":"https://openalex.org/W3050765222","doi":"https://doi.org/10.1007/s10485-020-09607-9","mag":"3050765222"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-020-09607-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-020-09607-9","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/A5017020165","display_name":"Brandon Goodell","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brandon Goodell","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, O-110 Martin Hall, Box 340975, Clemson, SC, 29634, USA","Department of Mathematical Sciences, Clemson University, Clemson, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, O-110 Martin Hall, Box 340975, Clemson, SC, 29634, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109419007","display_name":"Sean Sather-Wagstaff","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sean K. Sather-Wagstaff","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, O-110 Martin Hall, Box 340975, Clemson, SC, 29634, USA","Department of Mathematical Sciences, Clemson University, Clemson, USA"],"raw_orcid":"https://orcid.org/0000-0002-8717-5545","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, O-110 Martin Hall, Box 340975, Clemson, SC, 29634, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, USA","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109419007"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22732721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"6","first_page":"975","last_page":"1012"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9914000034332275,"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":0.9886999726295471,"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/morphism","display_name":"Morphism","score":0.8021519184112549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7655378580093384},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7645738124847412},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.7638125419616699},{"id":"https://openalex.org/keywords/integral-domain","display_name":"Integral domain","score":0.6586233973503113},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6305742859840393},{"id":"https://openalex.org/keywords/divisibility-rule","display_name":"Divisibility rule","score":0.5762054920196533},{"id":"https://openalex.org/keywords/weierstrass-factorization-theorem","display_name":"Weierstrass factorization theorem","score":0.5084670782089233},{"id":"https://openalex.org/keywords/semiring","display_name":"Semiring","score":0.49249395728111267},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4744637608528137},{"id":"https://openalex.org/keywords/unique-factorization-domain","display_name":"Unique factorization domain","score":0.4716576635837555},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4315685033798218},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.4302866756916046},{"id":"https://openalex.org/keywords/enriched-category","display_name":"Enriched category","score":0.42767494916915894},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41086432337760925},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3919319808483124},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3788061738014221},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0929185152053833},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.08896642923355103},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.07056596875190735}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8021519184112549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7655378580093384},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7645738124847412},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.7638125419616699},{"id":"https://openalex.org/C98486379","wikidata":"https://www.wikidata.org/wiki/Q628792","display_name":"Integral domain","level":3,"score":0.6586233973503113},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6305742859840393},{"id":"https://openalex.org/C9991821","wikidata":"https://www.wikidata.org/wiki/Q858520","display_name":"Divisibility rule","level":2,"score":0.5762054920196533},{"id":"https://openalex.org/C74497983","wikidata":"https://www.wikidata.org/wiki/Q1330788","display_name":"Weierstrass factorization theorem","level":3,"score":0.5084670782089233},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.49249395728111267},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4744637608528137},{"id":"https://openalex.org/C185592164","wikidata":"https://www.wikidata.org/wiki/Q1052579","display_name":"Unique factorization domain","level":3,"score":0.4716576635837555},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4315685033798218},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.4302866756916046},{"id":"https://openalex.org/C156163052","wikidata":"https://www.wikidata.org/wiki/Q5379515","display_name":"Enriched category","level":3,"score":0.42767494916915894},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41086432337760925},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3919319808483124},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3788061738014221},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0929185152053833},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.08896642923355103},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.07056596875190735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-020-09607-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-020-09607-9","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":11,"referenced_works":["https://openalex.org/W1510078069","https://openalex.org/W1551345846","https://openalex.org/W1981622842","https://openalex.org/W2022340949","https://openalex.org/W2049719786","https://openalex.org/W2060844765","https://openalex.org/W2079280872","https://openalex.org/W2314446377","https://openalex.org/W2922403491","https://openalex.org/W3021035590","https://openalex.org/W4205135392"],"related_works":["https://openalex.org/W2031295477","https://openalex.org/W4235835414","https://openalex.org/W2326853574","https://openalex.org/W4389689297","https://openalex.org/W1036184611","https://openalex.org/W2113434968","https://openalex.org/W2091873297","https://openalex.org/W4383268477","https://openalex.org/W2788305819","https://openalex.org/W3050765222"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
