{"id":"https://openalex.org/W2033973445","doi":"https://doi.org/10.1007/s00493-014-2874-0","title":"Pl\u00fcnnecke and Kneser type theorems for dimension estimates","display_name":"Pl\u00fcnnecke and Kneser type theorems for dimension estimates","publication_year":2014,"publication_date":"2014-02-08","ids":{"openalex":"https://openalex.org/W2033973445","doi":"https://doi.org/10.1007/s00493-014-2874-0","mag":"2033973445"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-014-2874-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-014-2874-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1109.0134","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056720560","display_name":"C\u00e9dric Lecouvey","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I110017253","display_name":"Universit\u00e9 de Tours","ror":"https://ror.org/02wwzvj46","country_code":"FR","type":"education","lineage":["https://openalex.org/I110017253"]},{"id":"https://openalex.org/I4210132217","display_name":"Laboratoire de Math\u00e9matiques et Physique Th\u00e9orique","ror":"https://ror.org/03g2c2k71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I110017253","https://openalex.org/I1294671590","https://openalex.org/I4210132217","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"C\u00e9dric Lecouvey","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques et Physique Th\u00e9orique (UMR CNRS 6083), Universit\u00e9 Fran\u00e7ois-Rabelais, Tours F\u00e9d\u00e9ration de Recherche Denis Poisson - CNRS, Parc de Grandmont, 37200, Tours, France","Laboratoire de Math\u00e9matiques et Physique Th\u00e9orique (UMR CNRS 6083), Universit\u00e9 Fran\u00e7ois-Rabelais, Tours F\u00e9d\u00e9ration de Recherche Denis Poisson - CNRS, Tours, France 37 ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Physique Th\u00e9orique (UMR CNRS 6083), Universit\u00e9 Fran\u00e7ois-Rabelais, Tours F\u00e9d\u00e9ration de Recherche Denis Poisson - CNRS, Parc de Grandmont, 37200, Tours, France","institution_ids":["https://openalex.org/I4210132217","https://openalex.org/I110017253","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Physique Th\u00e9orique (UMR CNRS 6083), Universit\u00e9 Fran\u00e7ois-Rabelais, Tours F\u00e9d\u00e9ration de Recherche Denis Poisson - CNRS, Tours, France 37 ...#TAB#","institution_ids":["https://openalex.org/I110017253","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056720560"],"corresponding_institution_ids":["https://openalex.org/I110017253","https://openalex.org/I1294671590","https://openalex.org/I4210132217"],"apc_list":null,"apc_paid":null,"fwci":2.3328,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86541502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"3","first_page":"331","last_page":"358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9997000098228455,"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":0.9997000098228455,"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/T10849","display_name":"Finite Group Theory Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9345719218254089},{"id":"https://openalex.org/keywords/division-ring","display_name":"Division ring","score":0.7580243349075317},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6601160764694214},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5811949372291565},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5377011895179749},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.528527021408081},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4756447970867157},{"id":"https://openalex.org/keywords/span","display_name":"Span (engineering)","score":0.4315717816352844},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4211728274822235},{"id":"https://openalex.org/keywords/additive-group","display_name":"Additive group","score":0.4190806448459625},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4171242415904999},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4026414453983307},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.349117636680603},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33220377564430237},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.3175033628940582},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14195799827575684},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0691865086555481}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9345719218254089},{"id":"https://openalex.org/C31671303","wikidata":"https://www.wikidata.org/wiki/Q650741","display_name":"Division ring","level":3,"score":0.7580243349075317},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6601160764694214},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5811949372291565},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5377011895179749},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.528527021408081},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4756447970867157},{"id":"https://openalex.org/C2778753569","wikidata":"https://www.wikidata.org/wiki/Q1960395","display_name":"Span (engineering)","level":2,"score":0.4315717816352844},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4211728274822235},{"id":"https://openalex.org/C2779483109","wikidata":"https://www.wikidata.org/wiki/Q4681347","display_name":"Additive group","level":3,"score":0.4190806448459625},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4171242415904999},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4026414453983307},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.349117636680603},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33220377564430237},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.3175033628940582},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14195799827575684},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0691865086555481},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00493-014-2874-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-014-2874-0","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1109.0134","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1109.0134","pdf_url":"https://arxiv.org/pdf/1109.0134","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.410.8902","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.410.8902","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/85/41/18/PDF/LinearEstimatesRev2.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00618241v3","is_oa":true,"landing_page_url":"https://hal.science/hal-00618241","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Combinatorica, 2014","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1109.0134","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1109.0134","pdf_url":"https://arxiv.org/pdf/1109.0134","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W11394547","https://openalex.org/W578591961","https://openalex.org/W1632770344","https://openalex.org/W1971746686","https://openalex.org/W1979212654","https://openalex.org/W1983095604","https://openalex.org/W2000713788","https://openalex.org/W2014421955","https://openalex.org/W2016248359","https://openalex.org/W2023339268","https://openalex.org/W2031252066","https://openalex.org/W2057563573","https://openalex.org/W2063292248","https://openalex.org/W2068054559","https://openalex.org/W2068854759","https://openalex.org/W2091022463","https://openalex.org/W2315173711","https://openalex.org/W2479604145","https://openalex.org/W2488251520","https://openalex.org/W2951783141","https://openalex.org/W2964326973","https://openalex.org/W3039948875","https://openalex.org/W3103598778","https://openalex.org/W3106140828"],"related_works":["https://openalex.org/W2022472189","https://openalex.org/W2070939056","https://openalex.org/W4294168466","https://openalex.org/W2379498264","https://openalex.org/W1565833102","https://openalex.org/W2264352149","https://openalex.org/W4223469647","https://openalex.org/W4229596634","https://openalex.org/W4300430055","https://openalex.org/W2030414954"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
