{"id":"https://openalex.org/W2962733173","doi":"https://doi.org/10.1142/s0218196718500364","title":"Polynomial-time right-ideal morphisms and congruences","display_name":"Polynomial-time right-ideal morphisms and congruences","publication_year":2018,"publication_date":"2018-05-18","ids":{"openalex":"https://openalex.org/W2962733173","doi":"https://doi.org/10.1142/s0218196718500364","mag":"2962733173"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196718500364","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500364","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/A5109973858","display_name":"Jean-Camille 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 and CCIB, Rutgers University \u2014 Camden, Camden, NJ 08102, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and CCIB, Rutgers University \u2014 Camden, Camden, NJ 08102, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109973858"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":0.6058,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72568132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"28","issue":"05","first_page":"791","last_page":"835"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9975000023841858,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.996999979019165,"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/mathematics","display_name":"Mathematics","score":0.8682721257209778},{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.7000221610069275},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.6513866782188416},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5973835587501526},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.5444484949111938},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5444397330284119},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5019307136535645},{"id":"https://openalex.org/keywords/universal-algebra","display_name":"Universal algebra","score":0.4974515736103058},{"id":"https://openalex.org/keywords/free-algebra","display_name":"Free algebra","score":0.45026707649230957},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.42071977257728577},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40015795826911926},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3761257529258728},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24663293361663818},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.13421958684921265},{"id":"https://openalex.org/keywords/cellular-algebra","display_name":"Cellular algebra","score":0.11504790186882019}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8682721257209778},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.7000221610069275},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6513866782188416},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5973835587501526},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.5444484949111938},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5444397330284119},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5019307136535645},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.4974515736103058},{"id":"https://openalex.org/C27859207","wikidata":"https://www.wikidata.org/wiki/Q5500180","display_name":"Free algebra","level":5,"score":0.45026707649230957},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.42071977257728577},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40015795826911926},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3761257529258728},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24663293361663818},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.13421958684921265},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.11504790186882019},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196718500364","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500364","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:11664908100004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/Polynomial-time-right-ideal-morphisms-and-congruences/991031665300704646","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/W1570532888","https://openalex.org/W1987205876","https://openalex.org/W2003169828","https://openalex.org/W2024840566","https://openalex.org/W2071283394","https://openalex.org/W2145434606","https://openalex.org/W2476322857","https://openalex.org/W2963143262","https://openalex.org/W3105010784","https://openalex.org/W4213009134","https://openalex.org/W4243643814","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W4287644158","https://openalex.org/W3092392912","https://openalex.org/W3217779382","https://openalex.org/W2359727740","https://openalex.org/W2078404520","https://openalex.org/W3155501499","https://openalex.org/W2084181723","https://openalex.org/W2942660486","https://openalex.org/W2018423663","https://openalex.org/W2029339633"],"abstract_inverted_index":{"We":[0,44,62],"continue":[1],"with":[2,71],"the":[3,7,76,108],"functional":[4],"approach":[5],"to":[6],"P":[8,60,93],"-versus-":[9],"NP":[10,56,97],"problem,":[11],"begun":[12],"in":[13],"[J.":[14],"C.":[15,29],"Birget,":[16,30],"Semigroups":[17],"and":[18,34,89],"one-way":[19],"functions,":[20],"Int.":[21,37],"J.":[22,28,38],"Algebra":[23,39],"Comput.":[24,40],"25(1\u20132)":[25],"(2015)":[26],"3\u201336;":[27],"Infinitely":[31],"generated":[32],"semigroups":[33],"polynomial":[35],"complexity,":[36],"26(04)":[41],"(2016)":[42],"727\u2013750.]":[43],"previously":[45],"constructed":[46],"a":[47],"monoid":[48],"[Formula:":[49,57,68,79,83,94,104,113],"see":[50,58,69,80,84,95,105,114],"text]":[51,59,70,81,85,96,106],"that":[52],"is":[53,86,90,107],"non-regular":[54,91],"iff":[55,92],".":[61,98],"now":[63],"construct":[64],"homomorphic":[65,77],"images":[66],"of":[67,82,101,103],"interesting":[72],"properties.":[73],"In":[74],"particular,":[75],"image":[78],"finitely":[87],"generated,":[88],"The":[99],"group":[100,112],"units":[102],"famous":[109],"Richard":[110],"Thompson":[111],"text].":[115]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
