{"id":"https://openalex.org/W2008494178","doi":"https://doi.org/10.1080/00927870008826826","title":"Linearly compact rings having a simple group of units","display_name":"Linearly compact rings having a simple group of units","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2008494178","doi":"https://doi.org/10.1080/00927870008826826","mag":"2008494178"},"language":"en","primary_location":{"id":"doi:10.1080/00927870008826826","doi":"https://doi.org/10.1080/00927870008826826","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00927870008826826","pdf_url":null,"source":{"id":"https://openalex.org/S53865935","display_name":"Communications in Algebra","issn_l":"0092-7872","issn":["0092-7872","1532-4125"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Algebra","raw_type":"journal-article"},"volume":null,"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/A5083233942","display_name":"Jo-Ann D. Cohen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jo-Ann Cohen","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205","Department of Mathematics , North Carolina State University , Raleigh, NC, 27695-8205"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Department of Mathematics , North Carolina State University , Raleigh, NC, 27695-8205","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110009978","display_name":"Eliza Berry","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eliza Berry","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205","Department of Mathematics , North Carolina State University , Raleigh, NC, 27695-8205"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Department of Mathematics , North Carolina State University , Raleigh, NC, 27695-8205","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1779074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"1","first_page":"33","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9980000257492065,"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":0.9980000257492065,"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":0.000699999975040555,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":9.999999747378752e-05,"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/jacobson-radical","display_name":"Jacobson radical","score":0.9620000123977661},{"id":"https://openalex.org/keywords/classification-of-rings","display_name":"classification of rings","score":0.6370000243186951}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.862383246421814},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7504183053970337},{"id":"https://openalex.org/C5383885","wikidata":"https://www.wikidata.org/wiki/Q571124","display_name":"Simple group","level":3,"score":0.6989639401435852},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.6626091003417969},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.566082239151001},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5612183213233948},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.555962860584259},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.41638708114624023},{"id":"https://openalex.org/C129478007","wikidata":"https://www.wikidata.org/wiki/Q1677769","display_name":"Jacobson radical","level":3,"score":0.4155097007751465},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34425222873687744},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3354720175266266},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.24088025093078613},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05770394206047058},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05608060956001282},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05435168743133545},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.049335479736328125},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.049317002296447754},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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":2,"locations":[{"id":"doi:10.1080/00927870008826826","doi":"https://doi.org/10.1080/00927870008826826","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00927870008826826","pdf_url":null,"source":{"id":"https://openalex.org/S53865935","display_name":"Communications in Algebra","issn_l":"0092-7872","issn":["0092-7872","1532-4125"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Algebra","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.50.2443","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.2443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www4.ncsu.edu/eos/users/e/edberry/WWW/art1.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1989047912","https://openalex.org/W1994151382","https://openalex.org/W2270763918","https://openalex.org/W2327816196","https://openalex.org/W2487709814","https://openalex.org/W3038974689","https://openalex.org/W3183392806","https://openalex.org/W4232286569","https://openalex.org/W4236867418","https://openalex.org/W4250950881"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W2086467742","https://openalex.org/W1992887892","https://openalex.org/W4247143848","https://openalex.org/W2092425179","https://openalex.org/W2009883749","https://openalex.org/W2735573198","https://openalex.org/W589927635","https://openalex.org/W4233933987","https://openalex.org/W1870094138"],"abstract_inverted_index":{"Those":[0],"linearly":[1],"compact":[2,32],"rings":[3,33],"with":[4,34],"identity":[5,35],"having":[6,36],"a":[7,13,37],"simple":[8,38],"group":[9,39],"of":[10,22,40],"units":[11],"and":[12,27],"transfinitely":[14],"nilpotent":[15],"Jacobson":[16],"radical":[17],"are":[18],"identified.":[19],"A":[20],"consequence":[21],"this":[23],"characterization":[24],"is":[25],"Cohen":[26],"Koh's":[28],"classification":[29],"theorem":[30],"for":[31],"units.":[41]},"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2025-10-10T00:00:00"}