{"id":"https://openalex.org/W2029314958","doi":"https://doi.org/10.1017/s0305004100049574","title":"A commutant property of symmetric ternary algebras","display_name":"A commutant property of symmetric ternary algebras","publication_year":1971,"publication_date":"1971-07-01","ids":{"openalex":"https://openalex.org/W2029314958","doi":"https://doi.org/10.1017/s0305004100049574","mag":"2029314958"},"language":"en","primary_location":{"id":"doi:10.1017/s0305004100049574","doi":"https://doi.org/10.1017/s0305004100049574","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0305004100049574","pdf_url":null,"source":{"id":"https://openalex.org/S4210239678","display_name":"Mathematical Proceedings of the Cambridge Philosophical Society","issn_l":"0305-0041","issn":["0305-0041","1469-8064"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Proceedings of the Cambridge Philosophical Society","raw_type":"journal-article"},"volume":null,"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/A5022238742","display_name":"William G. Sullivan","orcid":"https://orcid.org/0000-0001-5221-7074","observed_orcids":["https://orcid.org/0000-0001-5221-7074"]},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"W. G. Sullivan","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332 and Physics Department, Tel Aviv University, Ramat Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332 and Physics Department, Tel Aviv University, Ramat Aviv, Israel","institution_ids":["https://openalex.org/I130701444","https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110120539","display_name":"Anthony Joseph","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"A. Joseph","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332 and Physics Department, Tel Aviv University, Ramat Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332 and Physics Department, Tel Aviv University, Ramat Aviv, Israel","institution_ids":["https://openalex.org/I130701444","https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17738727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":"1","first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11545","display_name":"Advanced Banach Space Theory","score":0.02759999968111515,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.015799999237060547,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/centralizers","display_name":"centralizers","score":0.871999979019165},{"id":"https://openalex.org/keywords/bounded-linear-operators-on-hilbert-space","display_name":"bounded linear operators on Hilbert space","score":0.8180000185966492}],"concepts":[{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.8250393271446228},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.7362321019172668},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7135419249534607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6409058570861816},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6287702918052673},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5550841093063354},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5485017895698547},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5249252915382385},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48561587929725647},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.41565006971359253},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34208524227142334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32253390550613403},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25624412298202515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19593462347984314},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10951307415962219},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09687387943267822},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.046915143728256226},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0305004100049574","doi":"https://doi.org/10.1017/s0305004100049574","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0305004100049574","pdf_url":null,"source":{"id":"https://openalex.org/S4210239678","display_name":"Mathematical Proceedings of the Cambridge Philosophical Society","issn_l":"0305-0041","issn":["0305-0041","1469-8064"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-2","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Proceedings of the Cambridge Philosophical Society","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2101551504"],"related_works":["https://openalex.org/W2101551504","https://openalex.org/W7006288201","https://openalex.org/W2088788819","https://openalex.org/W1533297480","https://openalex.org/W2266000601","https://openalex.org/W1966816609","https://openalex.org/W1434659913","https://openalex.org/W7099634594","https://openalex.org/W2041352458","https://openalex.org/W2333922723"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"commutant":[2],"property":[3],"of":[4,11,29],"ternary":[5],"algebras,":[6],"defined":[7],"as":[8],"linear":[9],"subspaces":[10],"\u212c(\u210b)":[12],"(bounded":[13],"operators":[14],"on":[15],"some":[16],"Hubert":[17],"space":[18],"\u210b)":[19],"closed":[20],"under":[21],"three-fold":[22],"multiplication,":[23],"is":[24],"demonstrated":[25],"through":[26],"the":[27],"recovery":[28],"an":[30],"operator":[31],"from":[32],"its":[33],"non-":[34],"orthogonal":[35],"restrictions.":[36]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2016-06-24T00:00:00"}
