{"id":"https://openalex.org/W2163129732","doi":"https://doi.org/10.1142/s0218196798000338","title":"A Variety Where the Set of Subalgebras of Finite Simple Algebras is Not Recursive","display_name":"A Variety Where the Set of Subalgebras of Finite Simple Algebras is Not Recursive","publication_year":1998,"publication_date":"1998-12-01","ids":{"openalex":"https://openalex.org/W2163129732","doi":"https://doi.org/10.1142/s0218196798000338","mag":"2163129732"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196798000338","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196798000338","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/A5080651446","display_name":"Stanislav Kublanovsky","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stanislav Kublanovsky","raw_affiliation_strings":["TPO Severnyj Ochag, Tarzhkovskaja, 5, St. Petersburg, Russia, 197342, Russia"],"affiliations":[{"raw_affiliation_string":"TPO Severnyj Ochag, Tarzhkovskaja, 5, St. Petersburg, Russia, 197342, Russia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059349783","display_name":"Mark Sapir","orcid":"https://orcid.org/0000-0002-7096-9904"},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark Sapir","raw_affiliation_strings":["Department of Mathematics and Statistics, Center for Communication and Information Science, University of Nebraska-Lincoln, Lincoln, Nebraska, USA, 68588, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Center for Communication and Information Science, University of Nebraska-Lincoln, Lincoln, Nebraska, USA, 68588, USA","institution_ids":["https://openalex.org/I114395901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080651446"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4725,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83342516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"08","issue":"06","first_page":"681","last_page":"688"},"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":0.9993000030517578,"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":0.9932000041007996,"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":0.8962225914001465},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7953462600708008},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.7324116826057434},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6610697507858276},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.53825443983078},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44332268834114075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3474569022655487},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08170562982559204}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8962225914001465},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7953462600708008},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7324116826057434},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6610697507858276},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.53825443983078},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44332268834114075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3474569022655487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08170562982559204},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196798000338","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196798000338","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":3,"referenced_works":["https://openalex.org/W1964829266","https://openalex.org/W1983867861","https://openalex.org/W2067141462"],"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":{"We":[0],"construct":[1],"a":[2],"finitely":[3],"based":[4],"variety":[5],"of":[6,15,17],"algebras":[7,20],"with":[8],"two":[9],"binary":[10],"operations":[11],"where":[12],"the":[13],"set":[14],"subalgebras":[16],"finite":[18],"simple":[19],"is":[21],"not":[22],"recursive.":[23]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
