{"id":"https://openalex.org/W1526817709","doi":"https://doi.org/10.1007/11821069_26","title":"Partially Commutative Inverse Monoids","display_name":"Partially Commutative Inverse Monoids","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1526817709","doi":"https://doi.org/10.1007/11821069_26","mag":"1526817709"},"language":"en","primary_location":{"id":"doi:10.1007/11821069_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11821069_26","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/A5054093863","display_name":"Volker Diekert","orcid":"https://orcid.org/0000-0002-5994-3762"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Volker Diekert","raw_affiliation_strings":["FMI, Universit\u00e4t Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"FMI, Universit\u00e4t Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005500210","display_name":"Markus Lohrey","orcid":"https://orcid.org/0000-0002-4680-7198"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Lohrey","raw_affiliation_strings":["FMI, Universit\u00e4t Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"FMI, Universit\u00e4t Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017559472","display_name":"Alexander R. Miller","orcid":"https://orcid.org/0009-0001-0701-0426"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Miller","raw_affiliation_strings":["FMI, Universit\u00e4t Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"FMI, Universit\u00e4t Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054093863"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2552,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77598711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"292","last_page":"304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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/T11567","display_name":"semigroups and automata theory","score":1.0,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9973999857902527,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9962000250816345,"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/modulo","display_name":"Modulo","score":0.8396013379096985},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.786163330078125},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7078068256378174},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6875252723693848},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.6256358027458191},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.59888756275177},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.5620124340057373},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.5306792855262756},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5294646620750427},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.49666768312454224},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.4880146086215973},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4612291157245636},{"id":"https://openalex.org/keywords/word-problem","display_name":"Word problem (mathematics education)","score":0.45142191648483276},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.379727840423584},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1445193588733673}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8396013379096985},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.786163330078125},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7078068256378174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6875252723693848},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6256358027458191},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.59888756275177},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.5620124340057373},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.5306792855262756},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5294646620750427},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.49666768312454224},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.4880146086215973},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4612291157245636},{"id":"https://openalex.org/C90988201","wikidata":"https://www.wikidata.org/wiki/Q255912","display_name":"Word problem (mathematics education)","level":2,"score":0.45142191648483276},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.379727840423584},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1445193588733673},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11821069_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11821069_26","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W33714751","https://openalex.org/W1529497146","https://openalex.org/W1605354378","https://openalex.org/W1726757030","https://openalex.org/W1748927325","https://openalex.org/W1809956864","https://openalex.org/W1844644571","https://openalex.org/W1971416129","https://openalex.org/W1989788631","https://openalex.org/W1996760951","https://openalex.org/W2009571139","https://openalex.org/W2022598306","https://openalex.org/W2027103910","https://openalex.org/W2039006723","https://openalex.org/W2053668328","https://openalex.org/W2056824334","https://openalex.org/W2062170505","https://openalex.org/W2070740841","https://openalex.org/W2074599978","https://openalex.org/W2079300096","https://openalex.org/W2079303487","https://openalex.org/W2088846354","https://openalex.org/W2090121252","https://openalex.org/W2094424432","https://openalex.org/W2101716083","https://openalex.org/W2111380805","https://openalex.org/W2113355185","https://openalex.org/W2119630998","https://openalex.org/W2129564013","https://openalex.org/W2154583761","https://openalex.org/W2161913867","https://openalex.org/W2162583406","https://openalex.org/W2164003033","https://openalex.org/W2337480916","https://openalex.org/W2477589106","https://openalex.org/W3022006420","https://openalex.org/W4235290936","https://openalex.org/W6631552010"],"related_works":["https://openalex.org/W4280598225","https://openalex.org/W4313593731","https://openalex.org/W4380433168","https://openalex.org/W2130856794","https://openalex.org/W2106919714","https://openalex.org/W4220976029","https://openalex.org/W1523052313","https://openalex.org/W2465207406","https://openalex.org/W1511851241","https://openalex.org/W3169949799"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}