{"id":"https://openalex.org/W4415731046","doi":"https://doi.org/10.1142/s0218196726500050","title":"\u21242-graded \u2217-polynomial identities and cocharacteres for M1,1(E), UT1,1(E) and UT(0,1,0)(E)","display_name":"\u21242-graded \u2217-polynomial identities and cocharacteres for M1,1(E), UT1,1(E) and UT(0,1,0)(E)","publication_year":2025,"publication_date":"2025-10-31","ids":{"openalex":"https://openalex.org/W4415731046","doi":"https://doi.org/10.1142/s0218196726500050"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196726500050","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196726500050","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/A5102727497","display_name":"Jonatan Andr\u00e9s G\u00f3mez Parada","orcid":"https://orcid.org/0000-0002-0405-4378"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Jonatan Andres Gomez Parada","raw_affiliation_strings":["Department of Mathematics, IMECC, UNICAMP, S\u00e9rgio Buarque de Holanda, 651, Campinas 13083-859, SP, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-0405-4378","affiliations":[{"raw_affiliation_string":"Department of Mathematics, IMECC, UNICAMP, S\u00e9rgio Buarque de Holanda, 651, Campinas 13083-859, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102727497"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.38667054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"02","first_page":"207","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9879999756813049,"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":0.9879999756813049,"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":0.005799999926239252,"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":0.0017000000225380063,"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/linear-subspace","display_name":"Linear subspace","score":0.5446000099182129},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.5353000164031982},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5181999802589417},{"id":"https://openalex.org/keywords/exterior-algebra","display_name":"Exterior algebra","score":0.5006999969482422},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49230000376701355},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.4302999973297119},{"id":"https://openalex.org/keywords/universal-algebra","display_name":"Universal algebra","score":0.40619999170303345},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4041000008583069}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8910999894142151},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5446000099182129},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.5353000164031982},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5181999802589417},{"id":"https://openalex.org/C94863793","wikidata":"https://www.wikidata.org/wiki/Q1196652","display_name":"Exterior algebra","level":3,"score":0.5006999969482422},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49230000376701355},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4343999922275543},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4302999973297119},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.40619999170303345},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4041000008583069},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.35830000042915344},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3578000068664551},{"id":"https://openalex.org/C27859207","wikidata":"https://www.wikidata.org/wiki/Q5500180","display_name":"Free algebra","level":5,"score":0.3425000011920929},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.3407999873161316},{"id":"https://openalex.org/C2781409172","wikidata":"https://www.wikidata.org/wiki/Q17056802","display_name":"Involution (esoterism)","level":3,"score":0.33809998631477356},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3165000081062317},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30889999866485596},{"id":"https://openalex.org/C51292594","wikidata":"https://www.wikidata.org/wiki/Q744960","display_name":"Associative algebra","level":5,"score":0.29670000076293945},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2937000095844269},{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.2809000015258789},{"id":"https://openalex.org/C51287006","wikidata":"https://www.wikidata.org/wiki/Q63565120","display_name":"Quotient algebra","level":4,"score":0.2770000100135803},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.2718999981880188}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196726500050","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196726500050","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/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W66098049","https://openalex.org/W70534879","https://openalex.org/W1558858808","https://openalex.org/W1971132554","https://openalex.org/W1990835935","https://openalex.org/W1992151731","https://openalex.org/W2018465721","https://openalex.org/W2038675121","https://openalex.org/W2095292157","https://openalex.org/W2255421174","https://openalex.org/W2744042773","https://openalex.org/W2806607782"],"related_works":[],"abstract_inverted_index":{"Let":[0],"K":[1],"be":[2,11],"a":[3,22,88,129],"field":[4],"of":[5,44,46,131,139],"characteristic":[6],"0,":[7],"and":[8,39,48,79,119,135,146],"let":[9],"E":[10,20,78],"the":[12,28,33,67,99,107,132,136],"infinite-dimensional":[13],"Grassmann":[14],"algebra":[15,71],"over":[16],"K.":[17],"We":[18,126],"consider":[19,66,106],"as":[21,154],"[Formula:":[23,36,40,54,60,68,72,89,94,108,113,116,120,140,143,147,155],"see":[24,37,41,55,61,69,73,90,95,109,114,117,121,141,144,148,156],"text]-graded":[25,62,70,91,110,157],"algebra,":[26,63],"where":[27],"grading":[29],"is":[30,57],"given":[31],"by":[32,98],"vector":[34],"subspaces":[35],"text]":[38,56,96,118,122,145],"text],":[42,115,142,149],"consisting":[43],"monomials":[45],"even":[47],"odd":[49],"lengths,":[50],"respectively.":[51],"Thus,":[52],"if":[53],"an":[58],"associative":[59],"we":[64,85,105],"can":[65,86],"text].":[74],"In":[75,102],"case":[76],"both":[77],"A":[80],"are":[81],"endowed":[82,123],"with":[83,124,159],"superinvolutions,":[84],"define":[87],"involution":[92],"on":[93],"induced":[97],"respective":[100],"superinvolutions.":[101,125],"this":[103],"paper,":[104],"matrix":[111],"algebras":[112,153,158],"shall":[127],"provide":[128],"description":[130],"polynomial":[133],"identities":[134],"cocharacter":[137],"sequences":[138],"considering":[150],"these":[151],"resulting":[152],"graded":[160],"involution.":[161]},"counts_by_year":[],"updated_date":"2026-02-14T06:23:00.392402","created_date":"2025-10-31T00:00:00"}
