{"id":"https://openalex.org/W3043919832","doi":"https://doi.org/10.1142/s0218196720500563","title":"On the complexity of the lattices of subvarieties and congruences","display_name":"On the complexity of the lattices of subvarieties and congruences","publication_year":2020,"publication_date":"2020-07-21","ids":{"openalex":"https://openalex.org/W3043919832","doi":"https://doi.org/10.1142/s0218196720500563","mag":"3043919832"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196720500563","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500563","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/A5044143769","display_name":"A. V. Kravchenko","orcid":"https://orcid.org/0000-0002-0983-7240"},"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/I263417816","display_name":"The Russian Presidential Academy of National Economy and Public Administration","ror":"https://ror.org/04xnm9a92","country_code":"RU","type":"government","lineage":["https://openalex.org/I263417816"]},{"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"]},{"id":"https://openalex.org/I91727514","display_name":"Novosibirsk State Technical University","ror":"https://ror.org/01b2f6h61","country_code":"RU","type":"education","lineage":["https://openalex.org/I91727514"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. V. Kravchenko","raw_affiliation_strings":["Novosibirsk State Technical University, 20 Karl Marx Prosp., 630073 Novosibirsk, Russia","Novosibirsk State University, 1 Pirogov St., 630090 Novosibirsk, Russia","Siberian Institute of Management, (Department of the Russian Academy of National Economy and Public Administration under the President of the Russian Federation), 6 Nizhegorodskaya St., 630102 Novosibirsk, Russia","Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug Prosp., 630090 Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Novosibirsk State Technical University, 20 Karl Marx Prosp., 630073 Novosibirsk, Russia","institution_ids":["https://openalex.org/I91727514"]},{"raw_affiliation_string":"Novosibirsk State University, 1 Pirogov St., 630090 Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]},{"raw_affiliation_string":"Siberian Institute of Management, (Department of the Russian Academy of National Economy and Public Administration under the President of the Russian Federation), 6 Nizhegorodskaya St., 630102 Novosibirsk, Russia","institution_ids":["https://openalex.org/I263417816"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug Prosp., 630090 Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064267281","display_name":"A. M. Nurakunov","orcid":"https://orcid.org/0000-0002-3363-9674"},"institutions":[{"id":"https://openalex.org/I4210108543","display_name":"National Academy of Sciences of the Republic of Kyrgyzstan","ror":"https://ror.org/01md3zk31","country_code":"KG","type":"facility","lineage":["https://openalex.org/I4210108543"]}],"countries":["KG"],"is_corresponding":false,"raw_author_name":"A. M. Nurakunov","raw_affiliation_strings":["Institute of Mathematics of the National Academy of Sciences, 265a Chui Prosp., 720071 Bishkek, Kyrgyzstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the National Academy of Sciences, 265a Chui Prosp., 720071 Bishkek, Kyrgyzstan","institution_ids":["https://openalex.org/I4210108543"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I91727514","display_name":"Novosibirsk State Technical University","ror":"https://ror.org/01b2f6h61","country_code":"RU","type":"education","lineage":["https://openalex.org/I91727514"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. V. Schwidefsky","raw_affiliation_strings":["Novosibirsk State Technical University, 20 Karl Marx Prosp., 630073 Novosibirsk, Russia","Novosibirsk State University, 1 Pirogov St., 630090 Novosibirsk, Russia","Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug Prosp., 630090 Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Novosibirsk State Technical University, 20 Karl Marx Prosp., 630073 Novosibirsk, Russia","institution_ids":["https://openalex.org/I91727514"]},{"raw_affiliation_string":"Novosibirsk State University, 1 Pirogov St., 630090 Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics SB RAS, 4 Acad. Koptyug Prosp., 630090 Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044143769"],"corresponding_institution_ids":["https://openalex.org/I188973947","https://openalex.org/I263417816","https://openalex.org/I4210096862","https://openalex.org/I91727514"],"apc_list":null,"apc_paid":null,"fwci":0.583,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73564215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"08","first_page":"1609","last_page":"1624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9934999942779541,"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":0.8815653920173645},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.8765438199043274},{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.8611433506011963},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6529771685600281},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49629026651382446},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43231895565986633},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36767929792404175},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.1634356677532196},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.046155840158462524}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8815653920173645},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.8765438199043274},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.8611433506011963},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6529771685600281},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49629026651382446},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43231895565986633},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36767929792404175},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.1634356677532196},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.046155840158462524},{"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/s0218196720500563","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500563","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1529501154","https://openalex.org/W1965065482","https://openalex.org/W1970103036","https://openalex.org/W2045405379","https://openalex.org/W2065129997","https://openalex.org/W2108636855","https://openalex.org/W2258343406","https://openalex.org/W2919298544","https://openalex.org/W2924675113","https://openalex.org/W2962870656"],"related_works":["https://openalex.org/W1563786920","https://openalex.org/W3209732136","https://openalex.org/W4288634121","https://openalex.org/W4297670065","https://openalex.org/W1618267488","https://openalex.org/W2909826889","https://openalex.org/W1543051890","https://openalex.org/W2056142535","https://openalex.org/W4390949567","https://openalex.org/W2408565077"],"abstract_inverted_index":{"We":[0],"find":[1],"sufficient":[2],"conditions":[3],"guaranteeing":[4],"that":[5,42],"for":[6],"a":[7,18,30,36,46],"quasivariety":[8],"[Formula:":[9,19,25,32,38,53,57,64],"see":[10,20,26,33,39,54,58,65],"text]":[11,34,40,55,66],"of":[12,14,56],"structures":[13],"finite":[15,47],"type":[16],"containing":[17],"text]-class":[21],"with":[22],"respect":[23],"to":[24],"text],":[27],"there":[28],"exists":[29],"subquasivariety":[31],"and":[35,60],"structure":[37],"such":[41],"the":[43,51,62],"problems":[44],"whether":[45],"lattice":[48,52,63],"embeds":[49],"into":[50,61],"text]-varieties":[59],"are":[67],"undecidable.":[68]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
