{"id":"https://openalex.org/W2008283002","doi":"https://doi.org/10.1142/s0218196708004755","title":"COMBINATORIAL REES\u2013SUSHKEVICH VARIETIES ARE FINITELY BASED","display_name":"COMBINATORIAL REES\u2013SUSHKEVICH VARIETIES ARE FINITELY BASED","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2008283002","doi":"https://doi.org/10.1142/s0218196708004755","mag":"2008283002"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196708004755","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004755","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/A5074529002","display_name":"Edmond W. H. Lee","orcid":"https://orcid.org/0000-0002-1662-3734"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"EDMOND W. H. LEE","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074529002"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":4.5206,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.94187654,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"05","first_page":"957","last_page":"978"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.995199978351593,"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":0.8888449668884277},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.8442046642303467},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.6198585629463196},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48614880442619324},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4344458281993866},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34358304738998413},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3302437663078308}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8888449668884277},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.8442046642303467},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.6198585629463196},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48614880442619324},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4344458281993866},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34358304738998413},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3302437663078308},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196708004755","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004755","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:nsuworks.nova.edu:math_facarticles-1149","is_oa":false,"landing_page_url":"https://nsuworks.nova.edu/math_facarticles/159","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W99323005","https://openalex.org/W1487875360","https://openalex.org/W1600140231","https://openalex.org/W1965233852","https://openalex.org/W1967220306","https://openalex.org/W1971154268","https://openalex.org/W1975204902","https://openalex.org/W1988524775","https://openalex.org/W2004738733","https://openalex.org/W2015942688","https://openalex.org/W2018977081","https://openalex.org/W2023648368","https://openalex.org/W2024425953","https://openalex.org/W2034376971","https://openalex.org/W2039994929","https://openalex.org/W2051008034","https://openalex.org/W2060364013","https://openalex.org/W2064006034","https://openalex.org/W2068026718","https://openalex.org/W2079180816","https://openalex.org/W2083701130","https://openalex.org/W2090647316","https://openalex.org/W2350418830","https://openalex.org/W4233474368","https://openalex.org/W4249040916","https://openalex.org/W4293176479","https://openalex.org/W4299651338"],"related_works":["https://openalex.org/W2032233321","https://openalex.org/W1585007175","https://openalex.org/W3121970507","https://openalex.org/W2110028391","https://openalex.org/W54497855","https://openalex.org/W2382521049","https://openalex.org/W217960748","https://openalex.org/W3125814499","https://openalex.org/W2090827041","https://openalex.org/W2144385241"],"abstract_inverted_index":{"A":[0],"variety":[1,8,16],"is":[2,11,22],"said":[3],"to":[4],"be":[5],"a":[6,14],"Rees\u2013Sushkevich":[7,27],"if":[9],"it":[10],"contained":[12],"in":[13],"periodic":[15],"generated":[17],"by":[18],"0-simple":[19],"semigroups.":[20],"It":[21],"shown":[23],"that":[24],"all":[25],"combinatorial":[26],"varieties":[28],"are":[29],"finitely":[30],"based.":[31]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}