{"id":"https://openalex.org/W2081800680","doi":"https://doi.org/10.1016/s0168-0072(98)00063-3","title":"A geometric consequence of residual smallness","display_name":"A geometric consequence of residual smallness","publication_year":1999,"publication_date":"1999-08-01","ids":{"openalex":"https://openalex.org/W2081800680","doi":"https://doi.org/10.1016/s0168-0072(98)00063-3","mag":"2081800680"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(98)00063-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(98)00063-3","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","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/I142740786","display_name":"University of Louisville","ror":"https://ror.org/01ckdn478","country_code":"US","type":"education","lineage":["https://openalex.org/I142740786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Keith A. Kearnes","raw_affiliation_strings":["Department of Mathematics, University of Louisville, Louisville, K Y 40292, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Louisville, Louisville, K Y 40292, USA","institution_ids":["https://openalex.org/I142740786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101935985","display_name":"Emil W. Kiss","orcid":"https://orcid.org/0000-0001-5054-4530"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Emil W. Kiss","raw_affiliation_strings":["Department of Algebra and Number Theory, E\u00f6tv\u00f6s L\u00f3r\u00e1nd University, 1088 Budapest, M\u00fazeum Krt. 6-8, Hungary","Department of Algebra and Number Theory, E\u00f6tv\u00f6s L\u00f3r\u00e1nd University, 1088 Budapest, M\u00fazeum krt. 6\u20138, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Algebra and Number Theory, E\u00f6tv\u00f6s L\u00f3r\u00e1nd University, 1088 Budapest, M\u00fazeum Krt. 6-8, Hungary","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"Department of Algebra and Number Theory, E\u00f6tv\u00f6s L\u00f3r\u00e1nd University, 1088 Budapest, M\u00fazeum krt. 6\u20138, Hungary","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081757255","display_name":"Matthew Valeriote","orcid":"https://orcid.org/0000-0001-6568-7526"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Matthew A. Valeriote","raw_affiliation_strings":["Department of Mathematics and Statistics, Mc Master University, Hamilton, Ont., Canada, L8S 4KI"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Mc Master University, Hamilton, Ont., Canada, L8S 4KI","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089163721"],"corresponding_institution_ids":["https://openalex.org/I142740786"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":1.9536,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86187331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"99","issue":"1-3","first_page":"137","last_page":"169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"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/congruence","display_name":"Congruence (geometry)","score":0.8092280030250549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6656689047813416},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6280077695846558},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6165803074836731},{"id":"https://openalex.org/keywords/equational-logic","display_name":"Equational logic","score":0.6051440834999084},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5869989395141602},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.581809937953949},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5759576559066772},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5727064609527588},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4779788851737976},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43474507331848145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2206512689590454},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11222195625305176},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07142812013626099},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.061866313219070435},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.052107006311416626},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04979667067527771}],"concepts":[{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.8092280030250549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6656689047813416},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6280077695846558},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6165803074836731},{"id":"https://openalex.org/C154564781","wikidata":"https://www.wikidata.org/wiki/Q5384236","display_name":"Equational logic","level":3,"score":0.6051440834999084},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5869989395141602},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.581809937953949},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5759576559066772},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5727064609527588},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4779788851737976},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43474507331848145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2206512689590454},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11222195625305176},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07142812013626099},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.061866313219070435},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.052107006311416626},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04979667067527771},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0168-0072(98)00063-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(98)00063-3","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.36.9839","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.9839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.elte.hu/~ewkiss/papers/kkv2final.ps.gz","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":10,"referenced_works":["https://openalex.org/W1524176804","https://openalex.org/W1813513278","https://openalex.org/W1819356483","https://openalex.org/W2012220559","https://openalex.org/W2039193053","https://openalex.org/W2044770011","https://openalex.org/W2071517998","https://openalex.org/W2150532129","https://openalex.org/W2157017891","https://openalex.org/W6631183537"],"related_works":["https://openalex.org/W2388471861","https://openalex.org/W2354789018","https://openalex.org/W2391316944","https://openalex.org/W4380684998","https://openalex.org/W2787537126","https://openalex.org/W2560215812","https://openalex.org/W4226251895","https://openalex.org/W3171917333","https://openalex.org/W2949601986","https://openalex.org/W2192998894"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
