{"id":"https://openalex.org/W2083335849","doi":"https://doi.org/10.1007/s10485-013-9344-5","title":"Semidirect Products and Split Short Five Lemma in Normal Categories","display_name":"Semidirect Products and Split Short Five Lemma in Normal Categories","publication_year":2013,"publication_date":"2013-11-27","ids":{"openalex":"https://openalex.org/W2083335849","doi":"https://doi.org/10.1007/s10485-013-9344-5","mag":"2083335849"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-013-9344-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-013-9344-5","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/A5053773107","display_name":"Nelson Martins-Ferreira","orcid":"https://orcid.org/0000-0002-4199-7367"},"institutions":[{"id":"https://openalex.org/I169427155","display_name":"Instituto Polit\u00e9cnico de Leiria","ror":"https://ror.org/010dvvh94","country_code":"PT","type":"education","lineage":["https://openalex.org/I169427155"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX","PT"],"is_corresponding":true,"raw_author_name":"Nelson Martins-Ferreira","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Escola Superior de Tecnologia e Gest\u00e3o, Centro para o Desenvolvimento R\u00e1pido e Sustentado do Produto, Instituto Polit\u00e9cnico de Leiria, Leiria, Portugal","INSTITUTO POLIT\u00c9CNICO DE LEIRIA"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Escola Superior de Tecnologia e Gest\u00e3o, Centro para o Desenvolvimento R\u00e1pido e Sustentado do Produto, Instituto Polit\u00e9cnico de Leiria, Leiria, Portugal","institution_ids":["https://openalex.org/I169427155"]},{"raw_affiliation_string":"INSTITUTO POLIT\u00c9CNICO DE LEIRIA","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019214825","display_name":"Andrea Montoli","orcid":"https://orcid.org/0000-0002-7016-3716"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Andrea Montoli","raw_affiliation_strings":["CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal","University of Coimbra#TAB#"],"affiliations":[{"raw_affiliation_string":"CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]},{"raw_affiliation_string":"University of Coimbra#TAB#","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036772020","display_name":"Manuela Sobral","orcid":"https://orcid.org/0000-0001-9289-6147"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Manuela Sobral","raw_affiliation_strings":["CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal","University of Coimbra#TAB#"],"affiliations":[{"raw_affiliation_string":"CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]},{"raw_affiliation_string":"University of Coimbra#TAB#","institution_ids":["https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053773107"],"corresponding_institution_ids":["https://openalex.org/I169427155","https://openalex.org/I59361560"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4794,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83118198,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"5-6","first_page":"687","last_page":"697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9987999796867371,"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":0.9987999796867371,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9968000054359436,"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"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9952999949455261,"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/semidirect-product","display_name":"Semidirect product","score":0.8984657526016235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8302094340324402},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6404961943626404},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6084827184677124},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5833512544631958},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5744320750236511},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.42438915371894836},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4080141484737396},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40078142285346985},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.36771297454833984},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08295109868049622},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.057633429765701294}],"concepts":[{"id":"https://openalex.org/C75066664","wikidata":"https://www.wikidata.org/wiki/Q291126","display_name":"Semidirect product","level":3,"score":0.8984657526016235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8302094340324402},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6404961943626404},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6084827184677124},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5833512544631958},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5744320750236511},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.42438915371894836},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4080141484737396},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40078142285346985},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.36771297454833984},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08295109868049622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.057633429765701294},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10485-013-9344-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-013-9344-5","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:estudogeral.sib.uc.pt:10316/44054","is_oa":false,"landing_page_url":"http://hdl.handle.net/10316/44054","pdf_url":null,"source":{"id":"https://openalex.org/S4306402070","display_name":"Estudo Geral (Universidad de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I76903346","host_organization_name":"University of Coimbra","host_organization_lineage":["https://openalex.org/I76903346"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323392","display_name":"Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W259825634","https://openalex.org/W638225813","https://openalex.org/W1562700568","https://openalex.org/W1572769533","https://openalex.org/W1987917928","https://openalex.org/W2014046732","https://openalex.org/W2051328978","https://openalex.org/W2061547583","https://openalex.org/W2078588079","https://openalex.org/W2094251352","https://openalex.org/W2118627741","https://openalex.org/W2153410878","https://openalex.org/W2752228007","https://openalex.org/W4213097853","https://openalex.org/W4285719527","https://openalex.org/W6638234840"],"related_works":["https://openalex.org/W1513936385","https://openalex.org/W1965586265","https://openalex.org/W4298338734","https://openalex.org/W2361839117","https://openalex.org/W1985585783","https://openalex.org/W2963504314","https://openalex.org/W2963303248","https://openalex.org/W2251326833","https://openalex.org/W4301452142","https://openalex.org/W2581389238"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}