{"id":"https://openalex.org/W3112381371","doi":"https://doi.org/10.5070/c63160429","title":"Von Staudt constructions for skew-linear and multilinear matroids","display_name":"Von Staudt constructions for skew-linear and multilinear matroids","publication_year":2023,"publication_date":"2023-03-14","ids":{"openalex":"https://openalex.org/W3112381371","doi":"https://doi.org/10.5070/c63160429","mag":"3112381371"},"language":"en","primary_location":{"id":"doi:10.5070/c63160429","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5070/c63160429","pdf_url":"https://escholarship.org/content/qt01q1x044/qt01q1x044.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://escholarship.org/content/qt01q1x044/qt01q1x044.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058200401","display_name":"Lukas K\u00fchne","orcid":"https://orcid.org/0000-0001-6393-5610"},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lukas K\u00fchne","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Bielefeld, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012974477","display_name":"Rudi Pendavingh","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Rudi Pendavingh","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051049523","display_name":"Geva Yashfe","orcid":null},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Geva Yashfe","raw_affiliation_strings":["Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Giv'at Ram, 9190401 Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Giv'at Ram, 9190401 Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058200401"],"corresponding_institution_ids":["https://openalex.org/I20121455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00338634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9940999746322632,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.9061660766601562},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.8867661952972412},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7100510001182556},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.6016300916671753},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.46429121494293213},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.435698926448822},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4332495629787445},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.408282995223999},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20769140124320984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14620089530944824}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.9061660766601562},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8867661952972412},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7100510001182556},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.6016300916671753},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.46429121494293213},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.435698926448822},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4332495629787445},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.408282995223999},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20769140124320984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14620089530944824},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.5070/c63160429","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5070/c63160429","pdf_url":"https://escholarship.org/content/qt01q1x044/qt01q1x044.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2012.07361","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.07361","pdf_url":"https://arxiv.org/pdf/2012.07361","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":null,"raw_type":"text"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt01q1x044","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/01q1x044","pdf_url":"https://escholarship.org/content/qt01q1x044/qt01q1x044.pdf?t=rricr9","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorial Theory, vol 3, iss 1","raw_type":"article"},{"id":"pmh:oai:pure.tue.nl:publications/c05a1db6-a99d-4257-9fc8-342ec02ecc08","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/c05a1db6-a99d-4257-9fc8-342ec02ecc08","pdf_url":"https://pure.tue.nl/ws/files/313525698/eScholarship_UC_item_01q1x044.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"K\u00fchne, L, Pendavingh, R & Yashfe, G 2023, 'Von Staudt constructions for skew-linear and multilinear matroids', Combinatorial Theory, vol. 3, no. 1, #16. https://doi.org/10.5070/C63160429","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pub.uni-bielefeld.de:2982621","is_oa":true,"landing_page_url":"https://doi.org/10.5070/C63160429","pdf_url":null,"source":{"id":"https://openalex.org/S4306401670","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":{"id":"doi:10.5070/c63160429","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5070/c63160429","pdf_url":"https://escholarship.org/content/qt01q1x044/qt01q1x044.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4092399698","display_name":null,"funder_award_id":"1050/16","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320322572","display_name":"Studienstiftung des Deutschen Volkes","ror":"https://ror.org/05xwwfy96"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3112381371.pdf","grobid_xml":"https://content.openalex.org/works/W3112381371.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W94985437","https://openalex.org/W362742158","https://openalex.org/W1499946950","https://openalex.org/W1520448495","https://openalex.org/W1974781712","https://openalex.org/W1981927994","https://openalex.org/W1995058913","https://openalex.org/W2002096572","https://openalex.org/W2006267566","https://openalex.org/W2018870213","https://openalex.org/W2055762794","https://openalex.org/W2084432067","https://openalex.org/W2086110991","https://openalex.org/W2105831729","https://openalex.org/W2111741734","https://openalex.org/W2167703619","https://openalex.org/W2171844485","https://openalex.org/W2234720953","https://openalex.org/W2341223996","https://openalex.org/W2502358513","https://openalex.org/W2995575014","https://openalex.org/W3142013585","https://openalex.org/W4205694172","https://openalex.org/W4231681807","https://openalex.org/W4231868828","https://openalex.org/W4250950881","https://openalex.org/W4252495654","https://openalex.org/W4300596011"],"related_works":["https://openalex.org/W2058489697","https://openalex.org/W4367050287","https://openalex.org/W2072414647","https://openalex.org/W2400862597","https://openalex.org/W2106412416","https://openalex.org/W2046319394","https://openalex.org/W2625145881","https://openalex.org/W1984819493","https://openalex.org/W2106233458","https://openalex.org/W2015395878"],"abstract_inverted_index":{"This":[0],"paper":[1],"compares":[2],"skew-linear":[3,88],"and":[4,17],"multilinear":[5,73,80,110],"matroid":[6,59,69,89],"representations.":[7],"These":[8],"are":[9,12],"matroids":[10],"that":[11,90],"representable":[13],"over":[14,62],"division":[15,63,104],"rings":[16],"(roughly":[18],"speaking)":[19],"invertible":[20],"matrices,":[21],"respectively.":[22],"The":[23],"main":[24],"tool":[25],"is":[26,78,91],"the":[27,48,54],"von":[28,49,112],"Staudt":[29,50,113],"construction,":[30],"by":[31],"which":[32,77],"we":[33,52],"translate":[34],"our":[35],"problems":[36,61],"to":[37],"algebra.":[38],"After":[39],"giving":[40],"an":[41,71],"exposition":[42],"of":[43,47,57,67,86],"a":[44,68,87],"simple":[45],"variant":[46],"construction":[51],"present":[53],"following":[55],"results:Undecidability":[56],"several":[58],"representation":[60],"rings.":[64],"An":[65,84],"example":[66,85],"with":[70],"infinite":[72],"characteristic":[74,82],"set,":[75],"but":[76],"not":[79,92],"in":[81],"\\(0\\).":[83],"multilinear.":[93],"&nbsp;Mathematics":[94],"Subject":[95],"Classifications:":[96],"05B35,":[97],"52B40,":[98],"14N20,":[99],"52C35,":[100],"20F10,":[101],"03D40Keywords:":[102],"Matroids,":[103],"ring":[105],"representations,":[106],"subspace":[107],"arrangements,":[108],"\\(c\\)-arrange\\-ments,":[109],"matroids,":[111],"constructions,":[114],"word":[115],"problem,":[116],"Weyl":[117],"algebra,":[118],"Baumslag-Solitar":[119],"group":[120]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
