{"id":"https://openalex.org/W2008418236","doi":"https://doi.org/10.1142/s0218196711006820","title":"ON SOME GENERALIZATIONS OF GROUPS WITH TRIALITY","display_name":"ON SOME GENERALIZATIONS OF GROUPS WITH TRIALITY","publication_year":2011,"publication_date":"2011-08-29","ids":{"openalex":"https://openalex.org/W2008418236","doi":"https://doi.org/10.1142/s0218196711006820","mag":"2008418236"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196711006820","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196711006820","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":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1142/S0218196711006820","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000211707","display_name":"A. Grishkov","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"ALEXANDER GRISHKOV","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u01ceo Paulo-SP, 05311-970, Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u01ceo Paulo-SP, 05311-970, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049179829","display_name":"E. K. Loginov","orcid":"https://orcid.org/0000-0001-9167-9167"},"institutions":[{"id":"https://openalex.org/I120930651","display_name":"Ivanovo State University","ror":"https://ror.org/03rqm8n56","country_code":"RU","type":"education","lineage":["https://openalex.org/I120930651"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"EUGENE LOGINOV","raw_affiliation_strings":["University of Ivanovo, Ivanovo, Russia"],"affiliations":[{"raw_affiliation_string":"University of Ivanovo, Ivanovo, Russia","institution_ids":["https://openalex.org/I120930651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000211707"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0985369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"02","first_page":"1250015","last_page":"1250015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9998000264167786,"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/T12504","display_name":"Mathematics and Applications","score":0.9998000264167786,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9445000290870667,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/triality","display_name":"Triality","score":0.992887020111084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8842527270317078},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5656952261924744},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5149727463722229},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5082187652587891}],"concepts":[{"id":"https://openalex.org/C83716740","wikidata":"https://www.wikidata.org/wiki/Q17104294","display_name":"Triality","level":2,"score":0.992887020111084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8842527270317078},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5656952261924744},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5149727463722229},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5082187652587891},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218196711006820","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196711006820","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"},{"id":"pmh:oai:www.producao.usp.br:BDPI/36557","is_oa":false,"landing_page_url":"http://www.producao.usp.br/handle/BDPI/36557","pdf_url":null,"source":{"id":"https://openalex.org/S4306401373","display_name":"Scientific Electronic Library Online (S\u00e3o Paulo Research Foundation, Latin American and Caribbean Center on Health Sciences Information, Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2982035970","host_organization_name":"Costa Rican Department of Social Security","host_organization_lineage":["https://openalex.org/I2982035970"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"article"},{"id":"pmh:002280936","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1142/S0218196711006820","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:002280936","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1142/S0218196711006820","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"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":5,"referenced_works":["https://openalex.org/W2067900427","https://openalex.org/W2127943376","https://openalex.org/W2132258607","https://openalex.org/W2145645394","https://openalex.org/W4249159025"],"related_works":["https://openalex.org/W2139289285","https://openalex.org/W2951773251","https://openalex.org/W2057518150","https://openalex.org/W2952376796","https://openalex.org/W2269194778","https://openalex.org/W4226228421","https://openalex.org/W2045906648","https://openalex.org/W2728001160","https://openalex.org/W2979612741","https://openalex.org/W2890930311"],"abstract_inverted_index":{"In":[0],"the":[1,6,16,19,34,40],"present":[2],"paper":[3],"we":[4],"generalize":[5],"concept":[7],"of":[8,18,42],"groups":[9],"with":[10],"triality":[11],"and":[12,22],"apply":[13],"it":[14],"to":[15,29,37],"theory":[17,36,41],"Moufang,":[20],"Bol":[21],"Bruck":[23],"loops.":[24],"Such":[25],"generalizations":[26],"allow":[27],"us":[28],"reduce":[30],"certain":[31],"problems":[32,38],"from":[33],"loop":[35],"in":[39],"groups.":[43]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}