{"id":"https://openalex.org/W1965065482","doi":"https://doi.org/10.1142/s0218196714500489","title":"Lattices of subclasses. II","display_name":"Lattices of subclasses. II","publication_year":2014,"publication_date":"2014-11-28","ids":{"openalex":"https://openalex.org/W1965065482","doi":"https://doi.org/10.1142/s0218196714500489","mag":"1965065482"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196714500489","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500489","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/A5060675658","display_name":"\u041c. V. Schwidefsky","orcid":"https://orcid.org/0000-0003-4804-8073"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Marina Schwidefsky","raw_affiliation_strings":["Novosibirsk State University, Pirogova str. 2, 630090 Novosibirsk, Russia","Sobolev Institute of Mathematics, Siberian Branch RAS, Acad. Koptyug prosp. 4, 630090 Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Novosibirsk State University, Pirogova str. 2, 630090 Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics, Siberian Branch RAS, Acad. Koptyug prosp. 4, 630090 Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088997695","display_name":"Anna Zamojska-Dzienio","orcid":"https://orcid.org/0000-0002-5026-3605"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Anna Zamojska-Dzienio","raw_affiliation_strings":["Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060675658"],"corresponding_institution_ids":["https://openalex.org/I188973947","https://openalex.org/I4210096862"],"apc_list":null,"apc_paid":null,"fwci":0.367,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.60797881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"24","issue":"08","first_page":"1099","last_page":"1126"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9970999956130981,"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":0.9969000220298767,"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/undecidable-problem","display_name":"Undecidable problem","score":0.8863359093666077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8697842359542847},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5444681644439697},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5338472127914429},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5214095115661621},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.48408567905426025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48257723450660706},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4403204917907715},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3973301351070404},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3630375862121582},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.06812864542007446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05663272738456726},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.050085246562957764},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0484907329082489}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.8863359093666077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8697842359542847},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5444681644439697},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5338472127914429},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5214095115661621},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.48408567905426025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48257723450660706},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4403204917907715},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3973301351070404},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3630375862121582},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.06812864542007446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05663272738456726},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.050085246562957764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0484907329082489},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196714500489","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196714500489","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W68724985","https://openalex.org/W1026721552","https://openalex.org/W1529501154","https://openalex.org/W1970103036","https://openalex.org/W1970175097","https://openalex.org/W1975323254","https://openalex.org/W1995894443","https://openalex.org/W2024170010","https://openalex.org/W2031228791","https://openalex.org/W2043202657","https://openalex.org/W2050198546","https://openalex.org/W2054191491","https://openalex.org/W2055312136","https://openalex.org/W2059819148","https://openalex.org/W2065129997","https://openalex.org/W2083369631","https://openalex.org/W2084197339","https://openalex.org/W2092531253","https://openalex.org/W2313014285","https://openalex.org/W2911498256","https://openalex.org/W4229636845","https://openalex.org/W4238633330","https://openalex.org/W4254567506","https://openalex.org/W4254711654","https://openalex.org/W4256300276"],"related_works":["https://openalex.org/W2120230527","https://openalex.org/W1536365843","https://openalex.org/W2125797022","https://openalex.org/W1490819493","https://openalex.org/W1802268423","https://openalex.org/W1993963635","https://openalex.org/W4251759788","https://openalex.org/W2468382602","https://openalex.org/W5819577","https://openalex.org/W2359831739"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,27],"the":[3,28,36],"class":[4,22],"K(\u03c3)":[5,25],"of":[6,10,38],"all":[7],"algebraic":[8],"structures":[9],"signature":[11],"\u03c3":[12],"is":[13,20,40],"Q-universal":[14],"if":[15,18],"and":[16],"only":[17],"there":[19],"a":[21,31],"K":[23],"\u2286":[24],"such":[26],"problem":[29],"whether":[30],"finite":[32],"lattice":[33,37],"embeds":[34],"into":[35],"K-quasivarieties":[39],"undecidable.":[41]},"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}