{"id":"https://openalex.org/W2046514847","doi":"https://doi.org/10.1007/s00153-002-0150-2","title":"Simple and immune relations on countable structures","display_name":"Simple and immune relations on countable structures","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W2046514847","doi":"https://doi.org/10.1007/s00153-002-0150-2","mag":"2046514847"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-002-0150-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-002-0150-2","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical 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/A5005129928","display_name":"\u0421. \u0421. \u0413\u043e\u043d\u0447\u0430\u0440\u043e\u0432","orcid":"https://orcid.org/0000-0001-7465-1189"},"institutions":[{"id":"https://openalex.org/I4210127387","display_name":"Siberian Branch of the Russian Academy of Sciences","ror":"https://ror.org/02frkq021","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210127387"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Sergei. S. Goncharov","raw_affiliation_strings":["Academy of Sciences, Siberian Branch, Mathematical Institute, 630090 Novosibirsk, Russia. e-mail: gonchar@math.nsc.ru, , , , , , RU","Academy of Sciences, Siberian Branch, Mathematical Institute, 630090 Novosibirsk, Russia. e-mail: gonchar@math.nsc.ru, RU"],"affiliations":[{"raw_affiliation_string":"Academy of Sciences, Siberian Branch, Mathematical Institute, 630090 Novosibirsk, Russia. e-mail: gonchar@math.nsc.ru, , , , , , RU","institution_ids":["https://openalex.org/I4210127387"]},{"raw_affiliation_string":"Academy of Sciences, Siberian Branch, Mathematical Institute, 630090 Novosibirsk, Russia. e-mail: gonchar@math.nsc.ru, RU","institution_ids":["https://openalex.org/I1313323035"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071875842","display_name":"Valentina Harizanov","orcid":"https://orcid.org/0000-0002-6626-5074"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Valentina. S. Harizanov","raw_affiliation_strings":["Department of Mathematics, The George Washington University, Washington, D.C. 20052, USA. e-mail: harizanv@gwu.edu, , , , , , US","Department of Mathematics, The George Washington University, Washington, D.C. 20052, USA. e-mail: harizanv@gwu.edu, , US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The George Washington University, Washington, D.C. 20052, USA. e-mail: harizanv@gwu.edu, , , , , , US","institution_ids":["https://openalex.org/I193531525"]},{"raw_affiliation_string":"Department of Mathematics, The George Washington University, Washington, D.C. 20052, USA. e-mail: harizanv@gwu.edu, , US","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112811349","display_name":"Julia F. Knight","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julia. F. Knight","raw_affiliation_strings":["Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA. e-mail: julia.f.knight.1@nd.edu, , , , , , US","Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA. e-mail: julia.f.knight.1@nd.edu, US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA. e-mail: julia.f.knight.1@nd.edu, , , , , , US","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA. e-mail: julia.f.knight.1@nd.edu, US","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067959846","display_name":"Charles McCoy","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I1304256225","display_name":"University of Wisconsin System","ror":"https://ror.org/03ydkyb10","country_code":"US","type":"education","lineage":["https://openalex.org/I1304256225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles F. D. McCoy","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin, Madison, Madison, WI 53706, USA. e-mail: mccoy@math.wisc.edu, , , , , , US","Department of Mathematics, University of Wisconsin, Madison, Madison, WI 53706, USA. e-mail: mccoy@math.wisc.edu, US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, Madison, WI 53706, USA. e-mail: mccoy@math.wisc.edu, , , , , , US","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I1304256225"]},{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, Madison, WI 53706, USA. e-mail: mccoy@math.wisc.edu, US","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005129928"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210127387"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.091,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77505604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"42","issue":"3","first_page":"279","last_page":"291"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T11567","display_name":"semigroups and automata theory","score":0.9882000088691711,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9825000166893005,"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/mathematics","display_name":"Mathematics","score":0.8799313306808472},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.8669131994247437},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.8398128747940063},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5389086008071899},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4974258244037628},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4834643006324768},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3779504597187042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35581469535827637},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3361082375049591},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13163483142852783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0874718427658081},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07003563642501831}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8799313306808472},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8669131994247437},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8398128747940063},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5389086008071899},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4974258244037628},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4834643006324768},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3779504597187042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35581469535827637},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3361082375049591},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13163483142852783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0874718427658081},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07003563642501831},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-002-0150-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-002-0150-2","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.93.2140","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.93.2140","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.gwu.edu/~math/preprints/mp0202.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W100837523","https://openalex.org/W1973880596","https://openalex.org/W1975720205","https://openalex.org/W1976089169","https://openalex.org/W2015652526","https://openalex.org/W2037469541","https://openalex.org/W2039687554","https://openalex.org/W2056414301","https://openalex.org/W2062135743","https://openalex.org/W2091435900","https://openalex.org/W2146750910","https://openalex.org/W2504297158"],"related_works":["https://openalex.org/W1631776469","https://openalex.org/W2950866767","https://openalex.org/W4299610791","https://openalex.org/W1585007175","https://openalex.org/W3106300234","https://openalex.org/W2102584526","https://openalex.org/W2069948376","https://openalex.org/W2990774877","https://openalex.org/W3093339210","https://openalex.org/W3015037427"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}