{"id":"https://openalex.org/W1790768062","doi":"https://doi.org/10.37236/2772","title":"On Blow-Ups and Injectivity of Quivers","display_name":"On Blow-Ups and Injectivity of Quivers","publication_year":2013,"publication_date":"2013-05-31","ids":{"openalex":"https://openalex.org/W1790768062","doi":"https://doi.org/10.37236/2772","mag":"1790768062"},"language":"en","primary_location":{"id":"doi:10.37236/2772","doi":"https://doi.org/10.37236/2772","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2772","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p40/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-2","norway-1","oarl","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p40/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039007343","display_name":"Will Grilliette","orcid":"https://orcid.org/0000-0003-0310-780X","observed_orcids":["https://orcid.org/0000-0003-0310-780X"]},"institutions":[{"id":"https://openalex.org/I2800467320","display_name":"Tyler Junior College","ror":"https://ror.org/04mg21y19","country_code":"US","type":"education","lineage":["https://openalex.org/I2800467320"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Will Grilliette","raw_affiliation_strings":["Tyler Junior College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tyler Junior College","institution_ids":["https://openalex.org/I2800467320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112457026","display_name":"Deborah E. Seacrest","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I27802707","display_name":"University of Montana Western","ror":"https://ror.org/04rr0m327","country_code":"US","type":"education","lineage":["https://openalex.org/I27802707"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deborah E. Seacrest","raw_affiliation_strings":["University of Montana Western"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Montana Western","institution_ids":["https://openalex.org/I27802707"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041951163","display_name":"Tyler Seacrest","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I27802707","display_name":"University of Montana Western","ror":"https://ror.org/04rr0m327","country_code":"US","type":"education","lineage":["https://openalex.org/I27802707"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tyler Seacrest","raw_affiliation_strings":["University of Montana Western"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Montana Western","institution_ids":["https://openalex.org/I27802707"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.398,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.50324233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":"20","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.5073000192642212,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.5073000192642212,"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"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.3666999936103821,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.05900000035762787,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quivers","display_name":"quivers","score":0.9210000038146973},{"id":"https://openalex.org/keywords/blow-up","display_name":"blow-up","score":0.7089999914169312},{"id":"https://openalex.org/keywords/injectivity","display_name":"injectivity","score":0.902999997138977},{"id":"https://openalex.org/keywords/projective-plane","display_name":"projective plane","score":0.4169999957084656},{"id":"https://openalex.org/keywords/finite-projective-planes","display_name":"finite projective planes","score":0.5640000104904175},{"id":"https://openalex.org/keywords/finite-geometry","display_name":"finite geometry","score":0.4320000112056732}],"concepts":[{"id":"https://openalex.org/C168310172","wikidata":"https://www.wikidata.org/wiki/Q493980","display_name":"Quiver","level":2,"score":0.9754576683044434},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.8021800518035889},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7970927953720093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6218858957290649},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6193444728851318},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5739829540252686},{"id":"https://openalex.org/C163635466","wikidata":"https://www.wikidata.org/wiki/Q3099696","display_name":"Monic polynomial","level":3,"score":0.5551683902740479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15637421607971191},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14176759123802185},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.08391639590263367},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.040592044591903687}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/2772","doi":"https://doi.org/10.37236/2772","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2772","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p40/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-2","norway-1","oarl","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1210.1299","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.1299","pdf_url":"https://arxiv.org/pdf/1210.1299","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"mag:1790768062","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1210.1299v3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.761.2824","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.761.2824","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1210.1299.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1210.1299","doi":"https://doi.org/10.48550/arxiv.1210.1299","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1210.1299","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.13140/rg.2.2.34261.52968","doi":"https://doi.org/10.13140/rg.2.2.34261.52968","is_oa":false,"landing_page_url":"https://doi.org/10.13140/rg.2.2.34261.52968","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.37236/2772","doi":"https://doi.org/10.37236/2772","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2772","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p40/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-2","norway-1","oarl","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1790768062.pdf","grobid_xml":"https://content.openalex.org/works/W1790768062.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W204235972","https://openalex.org/W1534787852","https://openalex.org/W1548164611","https://openalex.org/W1580467367","https://openalex.org/W1613329893","https://openalex.org/W2028713441","https://openalex.org/W2093635261","https://openalex.org/W2111727971","https://openalex.org/W2572078071","https://openalex.org/W4205916380"],"related_works":["https://openalex.org/W1580467367","https://openalex.org/W2064029116","https://openalex.org/W1592193675","https://openalex.org/W2184035605","https://openalex.org/W2025198989","https://openalex.org/W2188636196","https://openalex.org/W879254316","https://openalex.org/W7095747121","https://openalex.org/W2578288197","https://openalex.org/W2470289801"],"abstract_inverted_index":{"This":[0,39],"work":[1],"connects":[2],"the":[3,54],"idea":[4],"of":[5,8,13,20,34,57],"a":[6,9,18,24],"\"blow-up\"":[7],"quiver":[10,25],"with":[11,51],"that":[12,16,48],"injectivity,":[14],"showing":[15],"for":[17],"class":[19],"monic":[21],"maps":[22],"$\\Phi$,":[23],"is":[26,41],"$\\Phi$-injective":[27],"if":[28,31],"and":[29],"only":[30],"all":[32,46],"blow-ups":[33],"it":[35],"are":[36,49],"as":[37],"well.":[38],"relationship":[40],"then":[42],"used":[43],"to":[44,53],"characterize":[45],"quivers":[47],"injective":[50],"respect":[52],"natural":[55],"embedding":[56],"$P_{n}$":[58],"into":[59],"$C_{n}$.":[60]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2016-06-24T00:00:00"}