{"id":"https://openalex.org/W3095528081","doi":"https://doi.org/10.1007/s10485-020-09615-9","title":"Discrete and Conservative Factorizations in Fib(B)","display_name":"Discrete and Conservative Factorizations in Fib(B)","publication_year":2020,"publication_date":"2020-11-04","ids":{"openalex":"https://openalex.org/W3095528081","doi":"https://doi.org/10.1007/s10485-020-09615-9","mag":"3095528081"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-020-09615-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-020-09615-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-020-09615-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10485-020-09615-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081468686","display_name":"Alan S. Cigoli","orcid":"https://orcid.org/0000-0002-5181-5096"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Alan S. Cigoli","raw_affiliation_strings":["Institut de recherche en math\u00e9matique et physique, Universit\u00e9 catholique de Louvain, Chemin du Cyclotron 2, 1348, Louvain-la-neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de recherche en math\u00e9matique et physique, Universit\u00e9 catholique de Louvain, Chemin du Cyclotron 2, 1348, Louvain-la-neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049125675","display_name":"Sandra Mantovani","orcid":"https://orcid.org/0000-0002-7941-1851"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sandra Mantovani","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 degli Studi di Milano, Via C. Saldini, 50, 20133, Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Milano, Via C. Saldini, 50, 20133, Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015986569","display_name":"Giuseppe Metere","orcid":"https://orcid.org/0000-0003-1839-3626"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppe Metere","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, 90123, Palermo, Italy"],"raw_orcid":"https://orcid.org/0000-0003-1839-3626","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, 90123, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015986569"],"corresponding_institution_ids":["https://openalex.org/I900890020"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.5053,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8330004,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"29","issue":"2","first_page":"249","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9959999918937683,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9959999918937683,"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/T12104","display_name":"Protein Tyrosine Phosphatases","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.963699996471405,"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/algorithm","display_name":"Algorithm","score":0.572537899017334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33115631341934204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.318754106760025}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.572537899017334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33115631341934204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.318754106760025}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10485-020-09615-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-020-09615-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-020-09615-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:air.unimi.it:2434/786708","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/786708","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:251095","is_oa":true,"landing_page_url":"http://hdl.handle.net/2078.1/251095","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Categorical Structures, Vol. 29, no.2, p. 249-265 (2020)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unipa.it:10447/518792","is_oa":true,"landing_page_url":"http://hdl.handle.net/10447/518792","pdf_url":null,"source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unito.it:2318/1837389","is_oa":true,"landing_page_url":"http://hdl.handle.net/2318/1837389","pdf_url":null,"source":{"id":"https://openalex.org/S4306400637","display_name":"Institutional Research Information System University of Turin (University of Turin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I55143463","host_organization_name":"University of Turin","host_organization_lineage":["https://openalex.org/I55143463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10485-020-09615-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-020-09615-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-020-09615-9.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320322991","display_name":"Universit\u00e0 degli Studi di Palermo","ror":"https://ror.org/044k9ta02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3095528081.pdf","grobid_xml":"https://content.openalex.org/works/W3095528081.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W41360094","https://openalex.org/W823132808","https://openalex.org/W1823163556","https://openalex.org/W1964572513","https://openalex.org/W1981049756","https://openalex.org/W1988982133","https://openalex.org/W2012265449","https://openalex.org/W2031352629","https://openalex.org/W2093735953","https://openalex.org/W2100355522","https://openalex.org/W2149565588","https://openalex.org/W2310751583","https://openalex.org/W2329406681","https://openalex.org/W2460985569","https://openalex.org/W2905516890","https://openalex.org/W2986807556"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829"],"abstract_inverted_index":{"Abstract":[0],"We":[1,95],"focus":[2],"on":[3,113],"the":[4,18,33,37,42,60,71,74,123,126],"transfer":[5,124],"of":[6,24,36,48,54,62,73,125,128],"some":[7],"known":[8],"orthogonal":[9],"factorization":[10,39,43],"systems":[11,44],"from":[12,101,132],"$$\\mathsf":[13,105],"{Cat}$$":[14,106],"<mml:math":[15,22,68,107,118,135,141],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>Cat</mml:mi></mml:math>":[16,108],"to":[17,78,137],"2-category":[19,115],"$${\\mathsf":[20,66,138],"{Fib}}(B)$$":[21,67],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>Fib</mml:mi><mml:mo>(</mml:mo><mml:mi>B</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>":[23,69],"fibrations":[25],"over":[26],"a":[27,79,114],"fixed":[28],"base":[29],"category":[30],"B":[31],":":[32],"internal":[34,87],"version":[35],"comprehensive":[38],",":[40,70,109,120],"and":[41,52,130],"given":[45],"by":[46,85],"(sequence":[47,53],"coidentifiers,":[49],"discrete":[50,88],"morphism)":[51,57],"coinverters,":[55],"conservative":[56],"respectively.":[58],"For":[59],"class":[61],"fibrewise":[63,91],"opfibrations":[64],"in":[65,93,104],"construction":[72,127],"latter":[75],"two":[76],"simplify":[77],"single":[80],"coidentifier":[81],"(respectively":[82],"coinverter)":[83],"followed":[84],"an":[86],"opfibration":[89,92],"(resp.":[90],"groupoids).":[94],"show":[96],"how":[97],"these":[98],"results":[99],"follow":[100],"their":[102],"analogues":[103],"providing":[110],"suitable":[111],"conditions":[112],"$${\\mathcal":[116,133],"{C}}$$":[117,134],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>C</mml:mi></mml:math>":[119,136],"that":[121],"allow":[122],"coinverters":[129],"coidentifiers":[131],"{Fib}}_{{\\mathcal":[139],"{C}}}(B)$$":[140],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:msub><mml:mi>Fib</mml:mi><mml:mi>C</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>B</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>":[142],".":[143]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-11-09T00:00:00"}
