{"id":"https://openalex.org/W4407759832","doi":"https://doi.org/10.1112/blms.70531","title":"Multipliers, W\u2010algebras, and the growth of generalized polynomial identities","display_name":"Multipliers, W\u2010algebras, and the growth of generalized polynomial identities","publication_year":2026,"publication_date":"2026-10-26","ids":{"openalex":"https://openalex.org/W4407759832","doi":"https://doi.org/10.1112/blms.70531"},"language":"en","primary_location":{"id":"doi:10.1112/blms.70531","doi":"https://doi.org/10.1112/blms.70531","is_oa":true,"landing_page_url":"https://doi.org/10.1112/blms.70531","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.70531","source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.70531","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020492070","display_name":"Fabrizio Martino","orcid":"https://orcid.org/0000-0001-9917-4294","observed_orcids":["https://orcid.org/0000-0001-9917-4294"]},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Fabrizio Martino","raw_affiliation_strings":["Dipartimento di Matematica e Informatica Universit\u00e0 degli Studi di Palermo Palermo Italy"],"raw_orcid":"https://orcid.org/0000-0001-9917-4294","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica Universit\u00e0 degli Studi di Palermo Palermo Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073000500","display_name":"Carla Rizzo","orcid":"https://orcid.org/0000-0001-5745-6074","observed_orcids":["https://orcid.org/0000-0001-5745-6074"]},"institutions":[{"id":"https://openalex.org/I4405252691","display_name":"Centro de Matem\u00e1tica","ror":"https://ror.org/0267j0k26","country_code":"PT","type":"education","lineage":["https://openalex.org/I4405252691"]},{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Carla Rizzo","raw_affiliation_strings":["CMUC, Department of Mathematics University of Coimbra Coimbra Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMUC, Department of Mathematics University of Coimbra Coimbra Portugal","institution_ids":["https://openalex.org/I4405252691","https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020492070"],"corresponding_institution_ids":["https://openalex.org/I900890020"],"apc_list":{"value":3930,"currency":"USD","value_usd":3930},"apc_paid":null,"fwci":34.7822,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.99622295,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"58","issue":"11","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9613999724388123,"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":0.9613999724388123,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.024299999698996544,"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":0.0017000000225380063,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/von-neumann-algebras","display_name":"von Neumann algebras","score":0.9079999923706055},{"id":"https://openalex.org/keywords/multiplier-algebras","display_name":"multiplier algebras","score":0.7450000047683716},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"matrix algebra","score":0.753000020980835}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6129976511001587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5985848903656006},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4279254376888275},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4233991205692291},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3491893708705902},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09621423482894897}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1112/blms.70531","doi":"https://doi.org/10.1112/blms.70531","is_oa":true,"landing_page_url":"https://doi.org/10.1112/blms.70531","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.70531","source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2502.12830","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2502.12830","pdf_url":"https://arxiv.org/pdf/2502.12830","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:iris.unipa.it:10447/720464","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/10447/720464","pdf_url":null,"source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2502.12830","doi":"https://doi.org/10.48550/arxiv.2502.12830","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2502.12830","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1112/blms.70531","doi":"https://doi.org/10.1112/blms.70531","is_oa":true,"landing_page_url":"https://doi.org/10.1112/blms.70531","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.70531","source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3431946983","display_name":"Centro de Matem\u00e1tica da Universidade de Coimbra","funder_award_id":"UID/00324/2025","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G6265307419","display_name":null,"funder_award_id":"UID/00324","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G6997658380","display_name":null,"funder_award_id":"10.54499","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320323392","display_name":"Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"},{"id":"https://openalex.org/F4320334045","display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni","ror":"https://ror.org/00b9dvn87"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407759832.pdf","grobid_xml":"https://content.openalex.org/works/W4407759832.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7133322673","https://openalex.org/W7220917238","https://openalex.org/W7125011741","https://openalex.org/W2009516965","https://openalex.org/W4405106672","https://openalex.org/W2036186216","https://openalex.org/W2519922137","https://openalex.org/W2033134612","https://openalex.org/W4281659519","https://openalex.org/W1990100486"],"abstract_inverted_index":{"Abstract":[0],"Let":[1],"be":[2],"a":[3,6,18,49,80],"\u2010algebra":[4],"over":[5],"field":[7],"of":[8,21,25,29,35,59,69,86],"characteristic":[9,90],"zero,":[10],"where":[11],"is":[12],"any":[13],"\u2010algebra.":[14],"We":[15],"first":[16],"develop":[17],"comprehensive":[19],"theory":[20],"generalized":[22,41,61,67,87],"identities":[23],"independent":[24],"the":[26,32,40,45,60,66,83],"algebraic":[27],"structure":[28],",":[30],"using":[31],"multiplier":[33],"algebra":[34,47],".":[36],"Then,":[37],"we":[38,64,78],"investigate":[39],"variety":[42],"generated":[43,73],"by":[44,74],"matrix":[46],"with":[48],"suitable":[50],"action,":[51],"proving":[52],"that":[53],"it":[54],"exhibits":[55],"almost":[56,70],"polynomial":[57,71],"growth":[58,72],"codimensions.":[62],"Furthermore,":[63],"characterize":[65],"varieties":[68],"finite\u2010dimensional":[75],"\u2010algebras.":[76],"Finally,":[77],"provide":[79],"counterexample":[81],"to":[82],"Specht":[84],"property":[85],"\u2010ideals":[88],"in":[89],"zero.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-02-20T00:00:00"}
