{"id":"https://openalex.org/W2075230035","doi":"https://doi.org/10.1007/s10485-009-9192-5","title":"Split Short Five Lemma for Clots and Subtractive Categories","display_name":"Split Short Five Lemma for Clots and Subtractive Categories","publication_year":2009,"publication_date":"2009-03-26","ids":{"openalex":"https://openalex.org/W2075230035","doi":"https://doi.org/10.1007/s10485-009-9192-5","mag":"2075230035"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-009-9192-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-009-9192-5","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/A5081627142","display_name":"Zurab Janelidze","orcid":"https://orcid.org/0000-0001-7527-3335"},"institutions":[{"id":"https://openalex.org/I26092322","display_name":"Stellenbosch University","ror":"https://ror.org/05bk57929","country_code":"ZA","type":"education","lineage":["https://openalex.org/I26092322"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Zurab Janelidze","raw_affiliation_strings":["Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, Matieland, 7602, South Africa","Stellenbosch University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, Matieland, 7602, South Africa","institution_ids":["https://openalex.org/I26092322"]},{"raw_affiliation_string":"Stellenbosch University","institution_ids":["https://openalex.org/I26092322"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053010597","display_name":"Aldo Ursini","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Aldo Ursini","raw_affiliation_strings":["Dipartimento di Scienze Matematiche ed Informatiche, Universita\u2019 di Siena, Pian dei Mantellini 44, 53100, Siena, Italy","Universit\u00e0 Di Siena"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche ed Informatiche, Universita\u2019 di Siena, Pian dei Mantellini 44, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Universit\u00e0 Di Siena","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081627142"],"corresponding_institution_ids":["https://openalex.org/I26092322"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8398,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90411331,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"1","first_page":"233","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9934999942779541,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.8331220746040344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8208293318748474},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5690380334854126},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.560875654220581},{"id":"https://openalex.org/keywords/subtractive-color","display_name":"Subtractive color","score":0.5220858454704285},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5029341578483582},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5029336810112},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47698265314102173},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45688799023628235},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.43979504704475403},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4350038468837738},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3901245594024658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09933421015739441},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06924250721931458}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.8331220746040344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8208293318748474},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5690380334854126},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.560875654220581},{"id":"https://openalex.org/C150799807","wikidata":"https://www.wikidata.org/wiki/Q374081","display_name":"Subtractive color","level":2,"score":0.5220858454704285},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5029341578483582},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5029336810112},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47698265314102173},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45688799023628235},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.43979504704475403},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4350038468837738},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3901245594024658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09933421015739441},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06924250721931458},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10485-009-9192-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-009-9192-5","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"},{"id":"pmh:oai:usiena-air.unisi.it:11365/25712","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/25712","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320686","display_name":"Claude Leon Foundation","ror":"https://ror.org/00xtpbs68"},{"id":"https://openalex.org/F4320322899","display_name":"Georgian National Science Foundation","ror":"https://ror.org/00xc87681"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W259825634","https://openalex.org/W585329639","https://openalex.org/W638225813","https://openalex.org/W1537810472","https://openalex.org/W1603287882","https://openalex.org/W1970852047","https://openalex.org/W1979596078","https://openalex.org/W1991774721","https://openalex.org/W1998444599","https://openalex.org/W2014046732","https://openalex.org/W2030371154","https://openalex.org/W2033428283","https://openalex.org/W2040621620","https://openalex.org/W2053888575","https://openalex.org/W2058217883","https://openalex.org/W2064612152","https://openalex.org/W2078588079","https://openalex.org/W2080357819","https://openalex.org/W2091204680","https://openalex.org/W2094562030","https://openalex.org/W2095401538","https://openalex.org/W2099623379","https://openalex.org/W2126508446","https://openalex.org/W2153410878","https://openalex.org/W3189169421"],"related_works":["https://openalex.org/W2064042445","https://openalex.org/W63093223","https://openalex.org/W1992507414","https://openalex.org/W3156046797","https://openalex.org/W1502270335","https://openalex.org/W2046641174","https://openalex.org/W2120307627","https://openalex.org/W2401720005","https://openalex.org/W4299802890","https://openalex.org/W2098506263"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
