{"id":"https://openalex.org/W1556161956","doi":"https://doi.org/10.1007/978-3-642-18098-9_16","title":"The Cayley-Hamilton Theorem for Noncommutative Semirings","display_name":"The Cayley-Hamilton Theorem for Noncommutative Semirings","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1556161956","doi":"https://doi.org/10.1007/978-3-642-18098-9_16","mag":"1556161956"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-18098-9_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18098-9_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5034362557","display_name":"Radu Grosu","orcid":"https://orcid.org/0000-0001-5715-2142"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Radu Grosu","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, NY, 11794-4400, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY, 11794-4400, USA","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034362557"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3891,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63647059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"143","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.8971088528633118},{"id":"https://openalex.org/keywords/semiring","display_name":"Semiring","score":0.8398904800415039},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.8005453944206238},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6638949513435364},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5583189725875854},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.47984620928764343},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44616782665252686},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4409487843513489},{"id":"https://openalex.org/keywords/noncommutative-algebraic-geometry","display_name":"Noncommutative algebraic geometry","score":0.415114164352417},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3639841675758362},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35721951723098755},{"id":"https://openalex.org/keywords/noncommutative-quantum-field-theory","display_name":"Noncommutative quantum field theory","score":0.21236488223075867}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.8971088528633118},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.8398904800415039},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.8005453944206238},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6638949513435364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5583189725875854},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.47984620928764343},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44616782665252686},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4409487843513489},{"id":"https://openalex.org/C193645952","wikidata":"https://www.wikidata.org/wiki/Q7049219","display_name":"Noncommutative algebraic geometry","level":4,"score":0.415114164352417},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3639841675758362},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35721951723098755},{"id":"https://openalex.org/C29384965","wikidata":"https://www.wikidata.org/wiki/Q7049223","display_name":"Noncommutative quantum field theory","level":3,"score":0.21236488223075867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-18098-9_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18098-9_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W122920432","https://openalex.org/W1522448884","https://openalex.org/W1535531066","https://openalex.org/W1588115473","https://openalex.org/W1981680677","https://openalex.org/W2004463571","https://openalex.org/W2008738395","https://openalex.org/W2014430014","https://openalex.org/W2124153277","https://openalex.org/W2321285931","https://openalex.org/W2432517183","https://openalex.org/W2506816676","https://openalex.org/W2981264952","https://openalex.org/W3022429701","https://openalex.org/W4210645310","https://openalex.org/W4211168396"],"related_works":["https://openalex.org/W2365154421","https://openalex.org/W2033560440","https://openalex.org/W1981365019","https://openalex.org/W2895260389","https://openalex.org/W4205705262","https://openalex.org/W2373496770","https://openalex.org/W3049422449","https://openalex.org/W2052840413","https://openalex.org/W4242157325","https://openalex.org/W1963885829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}