{"id":"https://openalex.org/W1862881149","doi":"https://doi.org/10.1016/j.laa.2015.05.034","title":"Partitions of elements in a monoid and its applications to systems theory","display_name":"Partitions of elements in a monoid and its applications to systems theory","publication_year":2015,"publication_date":"2015-06-14","ids":{"openalex":"https://openalex.org/W1862881149","doi":"https://doi.org/10.1016/j.laa.2015.05.034","mag":"1862881149"},"language":"en","primary_location":{"id":"doi:10.1016/j.laa.2015.05.034","doi":"https://doi.org/10.1016/j.laa.2015.05.034","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2015.05.034","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0024379515003535/pdf","source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W1862881149"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0024379515003535/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021224025","display_name":"Miguel V. Carriegos","orcid":"https://orcid.org/0000-0002-6850-0277","observed_orcids":["https://orcid.org/0000-0002-6850-0277"]},"institutions":[{"id":"https://openalex.org/I8833935","display_name":"Universidad de Le\u00f3n","ror":"https://ror.org/02tzt0b78","country_code":"ES","type":"education","lineage":["https://openalex.org/I8833935"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Miguel V. Carriegos","raw_affiliation_strings":["Instituto de Ciencias Aplicadas a Ciberseguridad, Departamento de Matem\u00e1ticas, Universidad de Le\u00f3n, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Aplicadas a Ciberseguridad, Departamento de Matem\u00e1ticas, Universidad de Le\u00f3n, Spain","institution_ids":["https://openalex.org/I8833935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050361686","display_name":"Noem\u00ed DeCastro\u2010Garc\u00eda","orcid":"https://orcid.org/0000-0002-5610-0153","observed_orcids":["https://orcid.org/0000-0002-5610-0153"]},"institutions":[{"id":"https://openalex.org/I8833935","display_name":"Universidad de Le\u00f3n","ror":"https://ror.org/02tzt0b78","country_code":"ES","type":"education","lineage":["https://openalex.org/I8833935"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Noem\u00ed DeCastro-Garc\u00eda","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad de Le\u00f3n, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de Le\u00f3n, Spain","institution_ids":["https://openalex.org/I8833935"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050361686"],"corresponding_institution_ids":["https://openalex.org/I8833935"],"apc_list":{"value":3230,"currency":"USD","value_usd":3230},"apc_paid":null,"fwci":1.2699,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.72899984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":"491","issue":null,"first_page":"161","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9160000085830688,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9160000085830688,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.014499999582767487,"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":0.009399999864399433,"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/abelian-semigroups","display_name":"abelian semigroups","score":0.8809999823570251},{"id":"https://openalex.org/keywords/integer-partitions","display_name":"integer partitions","score":0.8999999761581421},{"id":"https://openalex.org/keywords/state-space-decomposition","display_name":"state space decomposition","score":0.7699999809265137},{"id":"https://openalex.org/keywords/system-invariants","display_name":"system invariants","score":0.7620000243186951},{"id":"https://openalex.org/keywords/linear-systems-theory","display_name":"linear systems theory","score":0.5210000276565552},{"id":"https://openalex.org/keywords/combinatorial-enumeration","display_name":"combinatorial enumeration","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.7718421220779419},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7562907934188843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6470935344696045},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6104695796966553},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5573392510414124},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5210644602775574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.504416823387146},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.48948967456817627},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45654037594795227},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.45399153232574463},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.43938884139060974},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43431416153907776},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3585822582244873},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2530904710292816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19055557250976562},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13210594654083252},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.laa.2015.05.034","doi":"https://doi.org/10.1016/j.laa.2015.05.034","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2015.05.034","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0024379515003535/pdf","source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1502.00025","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1502.00025","pdf_url":"https://arxiv.org/pdf/1502.00025","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1502.00025","doi":"https://doi.org/10.48550/arxiv.1502.00025","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1502.00025","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.laa.2015.05.034","doi":"https://doi.org/10.1016/j.laa.2015.05.034","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2015.05.034","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0024379515003535/pdf","source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327970","display_name":"Instituto Nacional de Ciberseguridad","ror":"https://ror.org/00njptt83"},{"id":"https://openalex.org/F4320331769","display_name":"Universidad de Le\u00f3n","ror":"https://ror.org/02tzt0b78"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1862881149.pdf","grobid_xml":"https://content.openalex.org/works/W1862881149.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W94433250","https://openalex.org/W582494080","https://openalex.org/W1558005980","https://openalex.org/W1590069305","https://openalex.org/W2014130365","https://openalex.org/W2037258148","https://openalex.org/W2115088251","https://openalex.org/W2140996604","https://openalex.org/W2142560224","https://openalex.org/W2763174490","https://openalex.org/W4230443229","https://openalex.org/W4252841308","https://openalex.org/W7057515111"],"related_works":["https://openalex.org/W2037258148","https://openalex.org/W1578365679","https://openalex.org/W2264015117","https://openalex.org/W2795227551","https://openalex.org/W2084417046","https://openalex.org/W28287158","https://openalex.org/W2093860394","https://openalex.org/W7043843026","https://openalex.org/W2149796583","https://openalex.org/W2006630435"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}