{"id":"https://openalex.org/W2000235112","doi":"https://doi.org/10.2307/2275111","title":"Quasi-endomorphisms in small stable groups","display_name":"Quasi-endomorphisms in small stable groups","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2000235112","doi":"https://doi.org/10.2307/2275111","mag":"2000235112"},"language":"en","primary_location":{"id":"doi:10.2307/2275111","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275111","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/A5113593194","display_name":"Frank Olaf Wagner","orcid":null},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frank O. Wagner","raw_affiliation_strings":["Mathematisches Institut, Abteilung f\u00fcr Logik und Grundlagenforschung, Universit\u00e4t Freiburg, Albertstr, 23B, 79104 Freiburg, Deutschland, E-mail:","Mathematisches Institut, Abteilung f\u00fcr Logik und Grundlagenforschung, Universit\u00e4t Freiburg, Albertstr, 23B, 79104 Freiburg, Deutschland, E-mail: frwagner@ibm.ruf.uni-freiburg.de"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Abteilung f\u00fcr Logik und Grundlagenforschung, Universit\u00e4t Freiburg, Albertstr, 23B, 79104 Freiburg, Deutschland, E-mail:","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Mathematisches Institut, Abteilung f\u00fcr Logik und Grundlagenforschung, Universit\u00e4t Freiburg, Albertstr, 23B, 79104 Freiburg, Deutschland, E-mail: frwagner@ibm.ruf.uni-freiburg.de","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113593194"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.15238612,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"58","issue":"3","first_page":"1044","last_page":"1051"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9993000030517578,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9380000233650208,"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/modulo","display_name":"Modulo","score":0.8142446279525757},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7948453426361084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7914540767669678},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.7715561389923096},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.6807082295417786},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5892921686172485},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5534897446632385},{"id":"https://openalex.org/keywords/endomorphism-ring","display_name":"Endomorphism ring","score":0.47311684489250183},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.44806185364723206},{"id":"https://openalex.org/keywords/rank-of-an-abelian-group","display_name":"Rank of an abelian group","score":0.41741040349006653},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3970705270767212},{"id":"https://openalex.org/keywords/elementary-abelian-group","display_name":"Elementary abelian group","score":0.2884213328361511},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.059933364391326904}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8142446279525757},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7948453426361084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7914540767669678},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.7715561389923096},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6807082295417786},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5892921686172485},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5534897446632385},{"id":"https://openalex.org/C2778153370","wikidata":"https://www.wikidata.org/wiki/Q2896709","display_name":"Endomorphism ring","level":3,"score":0.47311684489250183},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.44806185364723206},{"id":"https://openalex.org/C200681373","wikidata":"https://www.wikidata.org/wiki/Q1260803","display_name":"Rank of an abelian group","level":4,"score":0.41741040349006653},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3970705270767212},{"id":"https://openalex.org/C81008192","wikidata":"https://www.wikidata.org/wiki/Q1017231","display_name":"Elementary abelian group","level":3,"score":0.2884213328361511},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.059933364391326904},{"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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2275111","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275111","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183744312","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183744312","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":5,"referenced_works":["https://openalex.org/W134345042","https://openalex.org/W1973273926","https://openalex.org/W2055042507","https://openalex.org/W2086349411","https://openalex.org/W2111449076"],"related_works":["https://openalex.org/W2951152791","https://openalex.org/W69393089","https://openalex.org/W2922584942","https://openalex.org/W1972799566","https://openalex.org/W4298370441","https://openalex.org/W2952466723","https://openalex.org/W4247100544","https://openalex.org/W2038105718","https://openalex.org/W3177553748","https://openalex.org/W2092521296"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"generalise":[2],"various":[3],"properties":[4],"of":[5,34,52],"quasiendomorphisms":[6],"from":[7],"groups":[8],"with":[9],"regular":[10],"generic":[11],"to":[12],"small":[13,20],"abelian":[14,22],"groups.":[15],"In":[16],"particular,":[17],"for":[18],"a":[19,50],"stable":[21],"group":[23],"such":[24],"that":[25],"no":[26],"infinite":[27],"definable":[28],"quotient":[29],"is":[30,36],"connected-by-finite,":[31],"the":[32],"ring":[33],"quasi-endomorphisms":[35],"locally":[37],"finite.":[38],"Under":[39],"some":[40,46],"additional":[41],"assumptions,":[42],"it":[43],"decomposes":[44],"modulo":[45],"nil":[47],"ideal":[48],"into":[49],"sum":[51],"finitely":[53],"many":[54],"matrix":[55],"rings.":[56]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
