{"id":"https://openalex.org/W180025574","doi":"https://doi.org/10.4169/000298910x480801","title":"<i>p</i> -Free <i> \u2113 <sup>p</sup> </i> Inequalities","display_name":"<i>p</i> -Free <i> \u2113 <sup>p</sup> </i> Inequalities","publication_year":2010,"publication_date":"2010-03-30","ids":{"openalex":"https://openalex.org/W180025574","doi":"https://doi.org/10.4169/000298910x480801","mag":"180025574"},"language":"de","primary_location":{"id":"doi:10.4169/000298910x480801","is_oa":false,"landing_page_url":"https://doi.org/10.4169/000298910x480801","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","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/A5025233960","display_name":"Grahame Bennett","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Grahame Bennett","raw_affiliation_strings":[","],"affiliations":[{"raw_affiliation_string":",","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025233960"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2251,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90097058,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"117","issue":"4","first_page":"334","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.6905999779701233,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.6905999779701233,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6349447965621948},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4254450798034668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4052037000656128},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1446092426776886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11131229996681213},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10356926918029785}],"concepts":[{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6349447965621948},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4254450798034668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4052037000656128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1446092426776886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11131229996681213},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10356926918029785}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4169/000298910x480801","is_oa":false,"landing_page_url":"https://doi.org/10.4169/000298910x480801","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2059235568","https://openalex.org/W2096645015","https://openalex.org/W2314080688","https://openalex.org/W2334477846","https://openalex.org/W4233294906","https://openalex.org/W4233530531","https://openalex.org/W4241205222","https://openalex.org/W4242529659","https://openalex.org/W4244701409","https://openalex.org/W4255094132"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Click":[0],"to":[1,5,51],"increase":[2],"image":[3,7],"sizeClick":[4],"decrease":[6],"size":[8],"Additional":[9],"informationNotes":[10],"on":[11],"contributorsGrahame":[12],"BennettGRAHAME":[13],"BENNETT":[14],"received":[15],"his":[16,24,36],"B.Sc.":[17],"from":[18,26],"Newcastle":[19],"University":[20,28],"in":[21,31],"1966":[22],"and":[23],"Ph.D.":[25],"the":[27],"of":[29],"Cambridge":[30],"1970.":[32],"He":[33],"has":[34],"spent":[35],"entire":[37],"career":[38],"at":[39],"Indiana":[40],"University.":[41],"His":[42],"current":[43],"research":[44],"interests":[45],"are":[46],"restricted,":[47],"more":[48],"or":[49],"less,":[50],"inequalities.":[52]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-02-01T03:34:12.195049","created_date":"2025-10-10T00:00:00"}