{"id":"https://openalex.org/W4381166633","doi":"https://doi.org/10.1142/s0218196723500431","title":"On the induced partial action of a quotient group and a structure theorem for a partial Galois extension","display_name":"On the induced partial action of a quotient group and a structure theorem for a partial Galois extension","publication_year":2023,"publication_date":"2023-06-19","ids":{"openalex":"https://openalex.org/W4381166633","doi":"https://doi.org/10.1142/s0218196723500431"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196723500431","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196723500431","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/A5053712794","display_name":"Jung-Miao Kuo","orcid":"https://orcid.org/0000-0002-6112-677X"},"institutions":[{"id":"https://openalex.org/I162838928","display_name":"National Chung Hsing University","ror":"https://ror.org/05vn3ca78","country_code":"TW","type":"education","lineage":["https://openalex.org/I162838928"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jung-Miao Kuo","raw_affiliation_strings":["Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan","institution_ids":["https://openalex.org/I162838928"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082041696","display_name":"George Szeto","orcid":null},"institutions":[{"id":"https://openalex.org/I24648388","display_name":"Bradley University","ror":"https://ror.org/04kmeaw70","country_code":"US","type":"education","lineage":["https://openalex.org/I24648388"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George Szeto","raw_affiliation_strings":["Department of Mathematics, Bradley University, Peoria, IL 61625, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bradley University, Peoria, IL 61625, USA","institution_ids":["https://openalex.org/I24648388"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053712794"],"corresponding_institution_ids":["https://openalex.org/I162838928"],"apc_list":null,"apc_paid":null,"fwci":2.2355,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.87118214,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"33","issue":"05","first_page":"989","last_page":"1006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9991999864578247,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/galois-extension","display_name":"Galois extension","score":0.8010907173156738},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7989763021469116},{"id":"https://openalex.org/keywords/abelian-extension","display_name":"Abelian extension","score":0.6415842175483704},{"id":"https://openalex.org/keywords/galois-cohomology","display_name":"Galois cohomology","score":0.5928608775138855},{"id":"https://openalex.org/keywords/galois-module","display_name":"Galois module","score":0.5786156058311462},{"id":"https://openalex.org/keywords/embedding-problem","display_name":"Embedding problem","score":0.5758821964263916},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.5528516173362732},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.521171510219574},{"id":"https://openalex.org/keywords/subring","display_name":"Subring","score":0.4813033640384674},{"id":"https://openalex.org/keywords/fundamental-theorem-of-galois-theory","display_name":"Fundamental theorem of Galois theory","score":0.47626635432243347},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4690927267074585},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.46056801080703735},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3927120566368103},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32382577657699585},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.24697649478912354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0611954927444458}],"concepts":[{"id":"https://openalex.org/C26204071","wikidata":"https://www.wikidata.org/wiki/Q2020004","display_name":"Galois extension","level":3,"score":0.8010907173156738},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7989763021469116},{"id":"https://openalex.org/C57637645","wikidata":"https://www.wikidata.org/wiki/Q318705","display_name":"Abelian extension","level":3,"score":0.6415842175483704},{"id":"https://openalex.org/C182349385","wikidata":"https://www.wikidata.org/wiki/Q382839","display_name":"Galois cohomology","level":3,"score":0.5928608775138855},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.5786156058311462},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.5758821964263916},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.5528516173362732},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.521171510219574},{"id":"https://openalex.org/C21714298","wikidata":"https://www.wikidata.org/wiki/Q929536","display_name":"Subring","level":3,"score":0.4813033640384674},{"id":"https://openalex.org/C78562435","wikidata":"https://www.wikidata.org/wiki/Q766522","display_name":"Fundamental theorem of Galois theory","level":4,"score":0.47626635432243347},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4690927267074585},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.46056801080703735},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3927120566368103},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32382577657699585},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.24697649478912354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0611954927444458},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196723500431","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196723500431","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5600000023841858}],"awards":[{"id":"https://openalex.org/G1459084788","display_name":null,"funder_award_id":"MOST 110-2115-M-005-004-MY2","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W638338753","https://openalex.org/W2020164985","https://openalex.org/W2066904969","https://openalex.org/W2080616333","https://openalex.org/W2087865123","https://openalex.org/W2560345198","https://openalex.org/W2799348797","https://openalex.org/W2986355511","https://openalex.org/W3204741266"],"related_works":["https://openalex.org/W2962735649","https://openalex.org/W2608269246","https://openalex.org/W4376141598","https://openalex.org/W2951859821","https://openalex.org/W4232480566","https://openalex.org/W1568570249","https://openalex.org/W4301958395","https://openalex.org/W92122087","https://openalex.org/W2072259342","https://openalex.org/W1965359603"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,11,18,28,39,46,56,61,67,75,82,90,95,100,126,130,169,175,181,186],"see":[2,12,19,29,40,47,57,62,68,76,83,91,96,101,127,131,170,176,182,187],"text]":[3,13,30,41,58,69,84,92,128,171,183],"be":[4,209],"a":[5,8,15,24,34,43,71,104,122,144,162,173,196,212,220],"ring":[6,146],"with":[7],"partial":[9,35,87,105,123,159,197,205,222],"action":[10,36,88,124,160],"of":[14,27,45,74,89,125,157,161,215,225],"finite":[16],"group":[17,26,164],"text].":[20,48],"We":[21,151],"determine":[22],"when":[23],"quotient":[25,163],"gives":[31],"rise":[32],"to":[33,120],"induced":[37,93,158],"by":[38,94,99,114,148],"on":[42,129],"subring":[44],"As":[49],"an":[50,60,185],"application,":[51],"we":[52],"show":[53,153],"that":[54,165],"if":[55],"is":[59,70,103,172,184,200],"text]-partial":[63,177,188],"Galois":[64,106,178,189,198,206,216,223],"extension":[65,179,199,207,224],"and":[66,218],"normal":[72],"subgroup":[73],"text],":[77,97,102,132],"then":[78],"under":[79,85,166],"certain":[80,149,167],"conditions":[81,168],"the":[86,136],"denoted":[98],"extension.":[107,191],"This":[108],"result":[109],"was":[110],"just":[111],"shown":[112],"recently":[113],"Bagio":[115],"et":[116],"al.,":[117],"applying":[118],"globalization":[119],"derive":[121],"totally":[133],"different":[134],"from":[135,143],"one":[137],"presented":[138],"in":[139,154],"this":[140],"paper":[141],"arising":[142],"Boolean":[145],"generated":[147],"idempotents.":[150],"further":[152],"either":[155],"type":[156,226],"DeMeyer\u2013Kanzaki":[174],"whenever":[180],"Azumaya":[190],"A":[192],"structure":[193],"theorem":[194],"for":[195],"also":[201],"presented,":[202],"namely,":[203],"every":[204],"can":[208],"decomposed":[210],"as":[211],"direct":[213],"sum":[214],"extensions":[217],"possibly":[219],"trivial":[221],"II.":[227]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}