{"id":"https://openalex.org/W1994238003","doi":"https://doi.org/10.1142/s021819679700023x","title":"Self-Rectangulating Varieties of Type 5","display_name":"Self-Rectangulating Varieties of Type 5","publication_year":1997,"publication_date":"1997-08-01","ids":{"openalex":"https://openalex.org/W1994238003","doi":"https://doi.org/10.1142/s021819679700023x","mag":"1994238003"},"language":"en","primary_location":{"id":"doi:10.1142/s021819679700023x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819679700023x","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/A5089163721","display_name":"Keith A. Kearnes","orcid":"https://orcid.org/0000-0002-0229-8504"},"institutions":[{"id":"https://openalex.org/I78715868","display_name":"University of Arkansas at Fayetteville","ror":"https://ror.org/05jbt9m15","country_code":"US","type":"education","lineage":["https://openalex.org/I78715868"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Keith A. Kearnes","raw_affiliation_strings":["Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR\u00a072701, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR\u00a072701, USA","institution_ids":["https://openalex.org/I78715868"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072228143","display_name":"\u00c1gnes Szendrei","orcid":"https://orcid.org/0000-0003-1518-8571"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u00c1gnes Szendrei","raw_affiliation_strings":["Bolyai Institute,  Aradi V\u00e9rtan\u00fak Tere 1 H-6720 Szeged, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolyai Institute,  Aradi V\u00e9rtan\u00fak Tere 1 H-6720 Szeged, Hungary","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5549,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81538601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"07","issue":"04","first_page":"511","last_page":"540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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/T11727","display_name":"Advanced Algebra and Logic","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/T11567","display_name":"semigroups and automata theory","score":0.998199999332428,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9945999979972839,"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":0.9260222911834717},{"id":"https://openalex.org/keywords/semilattice","display_name":"Semilattice","score":0.9088724255561829},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.7475070357322693},{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.6686362624168396},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.6221118569374084},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5564471483230591},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5118831396102905},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5061396956443787},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.49581775069236755},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.46765369176864624},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4593423306941986},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.41895923018455505},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3586232662200928},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.11296117305755615}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9260222911834717},{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.9088724255561829},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.7475070357322693},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.6686362624168396},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.6221118569374084},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5564471483230591},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5118831396102905},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5061396956443787},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.49581775069236755},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.46765369176864624},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4593423306941986},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.41895923018455505},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3586232662200928},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.11296117305755615},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s021819679700023x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819679700023x","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:CiteSeerX.psu:10.1.1.234.5961","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.5961","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/9607229v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.597.9812","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.597.9812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://spot.colorado.edu/~kearnes/Papers/selfrec.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2002164234","https://openalex.org/W2049482213","https://openalex.org/W2060788067"],"related_works":["https://openalex.org/W2318698690","https://openalex.org/W2034886710","https://openalex.org/W2385511935","https://openalex.org/W77573719","https://openalex.org/W2387936713","https://openalex.org/W3134823879","https://openalex.org/W1985426084","https://openalex.org/W2382432157","https://openalex.org/W2089905919","https://openalex.org/W4238856206"],"abstract_inverted_index":{"We":[0,46],"show":[1,47],"that":[2,48],"a":[3,19,52],"locally":[4],"finite":[5],"variety":[6],"which":[7],"omits":[8],"abelian":[9],"types":[10],"is":[11],"self-rectangulating":[12],"if":[13,16],"and":[14],"only":[15],"it":[17],"has":[18],"compatible":[20,53],"semilattice":[21,54],"term":[22,55],"operation.":[23],"Such":[24],"varieties":[25,31,50],"must":[26],"have":[27,42,57],"type-set":[28],"{5}.":[29],"These":[30],"are":[32,38],"residually":[33],"small":[34],"and,":[35],"when":[36],"they":[37,41],"finitely":[39],"generated,":[40],"definable":[43],"principal":[44],"congruences.":[45],"idempotent":[49],"with":[51],"operation":[56],"the":[58],"congruence":[59],"extension":[60],"property.":[61]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}