{"id":"https://openalex.org/W2134922385","doi":"https://doi.org/10.2307/2273709","title":"Corrigendum: \u201cRings which admit elimination of quantifiers\u201d","display_name":"Corrigendum: \u201cRings which admit elimination of quantifiers\u201d","publication_year":1979,"publication_date":"1979-03-01","ids":{"openalex":"https://openalex.org/W2134922385","doi":"https://doi.org/10.2307/2273709","mag":"2134922385"},"language":"en","primary_location":{"id":"doi:10.2307/2273709","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273709","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":"erratum","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/A5043910457","display_name":"Bruce I. Rose","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":true,"raw_author_name":"Bruce I. Rose","raw_affiliation_strings":["University of Notre Dame, Notre Dame, Indiana 46556","University of Notre Dame,Notre Dame,Indiana,46556"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Notre Dame, Notre Dame, Indiana 46556","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"University of Notre Dame,Notre Dame,Indiana,46556","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043910457"],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":null,"apc_paid":null,"fwci":1.6224,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87089716,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"1","first_page":"109","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9995999932289124,"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":0.9995999932289124,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9987999796867371,"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/T10849","display_name":"Finite Group Theory Research","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.7649396061897278},{"id":"https://openalex.org/keywords/semiprime-ring","display_name":"Semiprime ring","score":0.6356461644172668},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5632836818695068},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5285899639129639},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5234819650650024},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5102357864379883},{"id":"https://openalex.org/keywords/algebraically-closed-field","display_name":"Algebraically closed field","score":0.5015678405761719},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4568115472793579},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4481651782989502},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.43083757162094116},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4251607060432434},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42143556475639343},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3118382692337036},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10504096746444702}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7649396061897278},{"id":"https://openalex.org/C177598507","wikidata":"https://www.wikidata.org/wiki/Q2269249","display_name":"Semiprime ring","level":3,"score":0.6356461644172668},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5632836818695068},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5285899639129639},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5234819650650024},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5102357864379883},{"id":"https://openalex.org/C203701370","wikidata":"https://www.wikidata.org/wiki/Q1047547","display_name":"Algebraically closed field","level":2,"score":0.5015678405761719},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4568115472793579},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4481651782989502},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.43083757162094116},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4251607060432434},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42143556475639343},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3118382692337036},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10504096746444702},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2273709","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273709","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/1183740350","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183740350","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":1,"referenced_works":["https://openalex.org/W2110790867"],"related_works":["https://openalex.org/W2074052495","https://openalex.org/W3191608549","https://openalex.org/W2990042598","https://openalex.org/W3180713541","https://openalex.org/W2058984273","https://openalex.org/W2898022267","https://openalex.org/W2039990202","https://openalex.org/W2327182922","https://openalex.org/W2368744711","https://openalex.org/W2064116562"],"abstract_inverted_index":{"Matatyahu":[0],"Rubin":[1],"pointed":[2],"out":[3],"that":[4,111,178],"the":[5,22,28,48,52,66,73,92,97,131,140,151,179,182,194,199,233],"proof":[6],"of":[7,15,24,40,68,75,88,94,96,133,142,153,167,181,196,198,220,251],"Lemma":[8],"6.1":[9],"[2]":[10,44,223],"works":[11],"only":[12,254],"for":[13,208],"rings":[14,26,80,95,197],"prime":[16,86,144],"or":[17,34,116,239],"zero":[18],"characteristic.":[19],"This":[20],"invalidates":[21],"characterization":[23,54],"semiprime":[25],"with":[27,84,147,232],"descending":[29,234],"chain":[30,235],"condition":[31,236],"on":[32,237],"right":[33,240],"left":[35,238],"ideals":[36,241],"which":[37],"admit":[38],"elimination":[39,250],"quantifiers":[41,252],"given":[42],"in":[43,47,215],"and":[45,123,169,242],"cited":[46],"abstract":[49],"[1].":[50],"Although":[51],"correct":[53],"is":[55,60,125,163,188,224],"easy":[56],"to":[57,62,258],"derive,":[58],"it":[59],"complex":[61],"state.":[63],"Let":[64,71,90,128,137,149,227],"be":[65,72,91,130,150,193,229],"class":[67,74,93,132,195],"finite":[69,165],"fields.":[70,136],"2":[76,78],"\u00d7":[77],"matrix":[79],"over":[81],"a":[82,85,126,164,230],"field":[83],"number":[87],"elements.":[89],"form":[98,200],"GF":[99,105],"(":[100,106,157,185,205,210],"p":[101,107,124],"n":[102,113],")":[103,109,120,160,187,207,214],"\u2295":[104,201],"k":[108,115,119],"such":[110,177],"either":[112],"=":[114,121],"g.c.d.(":[117],"n,":[118],"1":[122],"prime.":[127],"\u2032":[129],"algebraically":[134],"closed":[135],"P":[138,168],"denote":[139],"set":[141,152],"all":[143,154],"numbers":[145],"together":[146],"zero.":[148],"ordered":[155],"pairs":[156],"f,":[158],"Q":[159,162,172,213],"where":[161],"subset":[166],"f":[170,184,204,211],":":[171],"\u2192":[173],"\u22c3":[174,175,176],"characteristic":[180],"ring":[183,231],"q":[186,189,202,206],".":[190,216,259],"Finally,":[191],"let":[192],"\u2208Q":[203],"some":[209],",":[212],"A":[217],"corrected":[218],"version":[219],"Theorem":[221,225],"6.2":[222],"1.":[226],"R":[228,248,256],"without":[243],"nonzero":[244],"trivial":[245],"ideals.":[246],"Then":[247],"admits":[249],"if":[253,255],"belong":[257]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
