{"id":"https://openalex.org/W2963143262","doi":"https://doi.org/10.1142/s0218196716500314","title":"Infinitely generated semigroups and polynomial complexity","display_name":"Infinitely generated semigroups and polynomial complexity","publication_year":2016,"publication_date":"2016-05-17","ids":{"openalex":"https://openalex.org/W2963143262","doi":"https://doi.org/10.1142/s0218196716500314","mag":"2963143262"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196716500314","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196716500314","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"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/A5039784128","display_name":"J. C. Birget","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. C. Birget","raw_affiliation_strings":["Department of Computer Science, Rutgers University\u2013Camden, Camden, New Jersey, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rutgers University\u2013Camden, Camden, New Jersey, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039784128"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":0.7209,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78155753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"04","first_page":"727","last_page":"750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9988999962806702,"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":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8411417603492737},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.6870020031929016},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.620733380317688},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.5921503305435181},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5766143798828125},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5401834845542908},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.44191667437553406},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.43646395206451416},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.424998015165329},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38914793729782104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33594971895217896},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27110522985458374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08566361665725708}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8411417603492737},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.6870020031929016},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.620733380317688},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.5921503305435181},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5766143798828125},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5401834845542908},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.44191667437553406},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.43646395206451416},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.424998015165329},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38914793729782104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33594971895217896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27110522985458374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08566361665725708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196716500314","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196716500314","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:alma.01RUT_INST:11664830180004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/Infinitely-generated-semigroups-and-polynomial-complexity/991031664285604646","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1548880861","https://openalex.org/W1606202023","https://openalex.org/W1834284857","https://openalex.org/W1987205876","https://openalex.org/W2024840566","https://openalex.org/W2071283394","https://openalex.org/W2091593086","https://openalex.org/W2145434606","https://openalex.org/W2156186849","https://openalex.org/W2476322857","https://openalex.org/W3105010784","https://openalex.org/W4213009134"],"related_works":["https://openalex.org/W2386248435","https://openalex.org/W2036181040","https://openalex.org/W4212828952","https://openalex.org/W2762094349","https://openalex.org/W2033701980","https://openalex.org/W2091872731","https://openalex.org/W2963805867","https://openalex.org/W4367000290","https://openalex.org/W262066018","https://openalex.org/W1965853409"],"abstract_inverted_index":{"This":[0],"paper":[1],"continues":[2],"the":[3,7,35,44,61],"functional":[4],"approach":[5],"to":[6,83],"[Formula:":[8,37,64,73],"see":[9,11,38,65,74],"text]-vs.-[Formula:":[10],"text]":[12,39,75],"problem,":[13],"begun":[14],"in":[15,63],"[J.":[16],"C.":[17],"Birget,":[18],"Semigroups":[19],"and":[20,52,67,80],"one-way":[21],"functions,":[22],"Internat.":[23],"J.":[24],"Algebra":[25],"Comput.":[26],"25":[27],"(1\u20132)":[28],"(2015)":[29],"3\u201336].":[30],"Here,":[31],"we":[32],"focus":[33],"on":[34],"monoid":[36],"of":[40,43],"right-ideal":[41],"morphisms":[42],"free":[45],"monoid,":[46],"that":[47],"have":[48],"polynomial":[49,53],"input":[50],"balance":[51],"time-complexity.":[54,88],"We":[55,70],"construct":[56],"a":[57],"machine":[58],"model":[59],"for":[60,87],"functions":[62],"text],":[66],"evaluation":[68],"functions.":[69],"prove":[71],"that,":[72],"is":[76],"not":[77],"finitely":[78],"generated,":[79],"use":[81],"this":[82],"show":[84],"separation":[85],"results":[86]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
