{"id":"https://openalex.org/W2790658923","doi":"https://doi.org/10.1142/s0218196718500133","title":"\u21242-graded identities of the Grassmann algebra over a finite field","display_name":"\u21242-graded identities of the Grassmann algebra over a finite field","publication_year":2018,"publication_date":"2018-02-05","ids":{"openalex":"https://openalex.org/W2790658923","doi":"https://doi.org/10.1142/s0218196718500133","mag":"2790658923"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196718500133","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500133","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5032428081","display_name":"Lu\u00eds Felipe Gon\u00e7alves Fonseca","orcid":null},"institutions":[{"id":"https://openalex.org/I146165071","display_name":"Universidade Federal de Vi\u00e7osa","ror":"https://ror.org/0409dgb37","country_code":"BR","type":"education","lineage":["https://openalex.org/I146165071"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Lu\u00eds Felipe Gon\u00e7alves Fonseca","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Federal de Vi\u00e7osa - Campus Florestal, Rodovia LMG 818, km 06, Florestal, MG, Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Federal de Vi\u00e7osa - Campus Florestal, Rodovia LMG 818, km 06, Florestal, MG, Brazil","institution_ids":["https://openalex.org/I146165071"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032428081"],"corresponding_institution_ids":["https://openalex.org/I146165071"],"apc_list":null,"apc_paid":null,"fwci":2.8949,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.90554822,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"28","issue":"02","first_page":"291","last_page":"307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":1.0,"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":1.0,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9954000115394592,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9718999862670898,"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/mathematics","display_name":"Mathematics","score":0.8855708837509155},{"id":"https://openalex.org/keywords/exterior-algebra","display_name":"Exterior algebra","score":0.616077184677124},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.5625172853469849},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5363169312477112},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49620968103408813},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4618576467037201},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4238627552986145},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4019475281238556},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29482293128967285}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8855708837509155},{"id":"https://openalex.org/C94863793","wikidata":"https://www.wikidata.org/wiki/Q1196652","display_name":"Exterior algebra","level":3,"score":0.616077184677124},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.5625172853469849},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5363169312477112},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49620968103408813},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4618576467037201},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4238627552986145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4019475281238556},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29482293128967285},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196718500133","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500133","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W625259287","https://openalex.org/W1964676216","https://openalex.org/W1965195003","https://openalex.org/W1982279115","https://openalex.org/W1984554564","https://openalex.org/W2010412343","https://openalex.org/W2069062930","https://openalex.org/W2158561846","https://openalex.org/W2964254577"],"related_works":["https://openalex.org/W114675515","https://openalex.org/W2274875620","https://openalex.org/W4240580698","https://openalex.org/W4295806063","https://openalex.org/W1969287914","https://openalex.org/W2048804712","https://openalex.org/W4210353177","https://openalex.org/W2051503320","https://openalex.org/W2913443340","https://openalex.org/W4226115609"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,11,16,31,35,46,53],"see":[2,12,17,32,36,47,54],"text]":[3,13,18,33],"be":[4,19],"a":[5,43],"finite":[6],"field":[7],"with":[8],"the":[9,20],"characteristic":[10],"and":[14],"let":[15],"unitary":[21],"Grassmann":[22],"algebra":[23],"generated":[24],"by":[25],"an":[26],"infinite":[27],"dimensional":[28],"vector":[29,60],"space":[30,61],"over":[34],"text].":[37],"In":[38],"this":[39],"paper,":[40],"we":[41],"determine":[42],"basis":[44],"for":[45,51],"text]-graded":[48],"polynomial":[49],"identities":[50],"any":[52],"text]-grading":[55],"such":[56],"that":[57],"its":[58],"underlying":[59],"is":[62],"homogeneous.":[63]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
