{"id":"https://openalex.org/W2912846671","doi":"https://doi.org/10.1093/jigpal/jzz001","title":"Locally finite monoids in finitely based varieties","display_name":"Locally finite monoids in finitely based varieties","publication_year":2019,"publication_date":"2019-01-09","ids":{"openalex":"https://openalex.org/W2912846671","doi":"https://doi.org/10.1093/jigpal/jzz001","mag":"2912846671"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzz001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzz001","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","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/A5074529002","display_name":"Edmond W. H. Lee","orcid":"https://orcid.org/0000-0002-1662-3734"},"institutions":[{"id":"https://openalex.org/I203088144","display_name":"Nova Southeastern University","ror":"https://ror.org/042bbge36","country_code":"US","type":"education","lineage":["https://openalex.org/I203088144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Edmond W H Lee","raw_affiliation_strings":["Department of Mathematics, Nova Southeastern University, Fort Lauderdale, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nova Southeastern University, Fort Lauderdale, FL, USA","institution_ids":["https://openalex.org/I203088144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074529002"],"corresponding_institution_ids":["https://openalex.org/I203088144"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03366168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"5","first_page":"743","last_page":"745"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991999864578247,"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":0.9991999864578247,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987999796867371,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9987000226974487,"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/decidability","display_name":"Decidability","score":0.8989113569259644},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.8193789720535278},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.7382115125656128},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.566519558429718},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.5304889678955078},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5178006887435913},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48807013034820557},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39741188287734985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36545491218566895},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33784669637680054},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08952024579048157}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8989113569259644},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.8193789720535278},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7382115125656128},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.566519558429718},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.5304889678955078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5178006887435913},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48807013034820557},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39741188287734985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36545491218566895},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33784669637680054},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08952024579048157},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/jigpal/jzz001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzz001","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},{"id":"pmh:oai:nsuworks.nova.edu:math_facarticles-1259","is_oa":false,"landing_page_url":"https://nsuworks.nova.edu/math_facarticles/258","pdf_url":null,"source":{"id":"https://openalex.org/S4377196410","display_name":"NSUWorks (Nova Southeastern University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I203088144","host_organization_name":"Nova Southeastern University","host_organization_lineage":["https://openalex.org/I203088144"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Faculty Articles","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":7,"referenced_works":["https://openalex.org/W648760579","https://openalex.org/W1969365099","https://openalex.org/W1989876890","https://openalex.org/W2023648368","https://openalex.org/W2049352524","https://openalex.org/W2060796467","https://openalex.org/W4293176479"],"related_works":["https://openalex.org/W2331020993","https://openalex.org/W2972379433","https://openalex.org/W4280598225","https://openalex.org/W4313593731","https://openalex.org/W1511851241","https://openalex.org/W2027874150","https://openalex.org/W1977695021","https://openalex.org/W2265748241","https://openalex.org/W4298399487","https://openalex.org/W2964300931"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,13,26],"shown":[3],"that":[4,22],"given":[5],"any":[6],"finite":[7,20],"system":[8,25],"of":[9,18,34],"monoid":[10],"identities,":[11],"it":[12],"decidable":[14],"if":[15],"the":[16,24],"class":[17],"locally":[19],"monoids":[21],"satisfy":[23],"a":[27],"variety.":[28],"This":[29],"answers":[30],"an":[31],"open":[32],"problem":[33],"Mark":[35],"V.":[36],"Sapir.":[37]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}