{"id":"https://openalex.org/keywords/adele-ring","display_name":"adele ring","description":"A commutative ring of adeles associated with a number field, formed from its completions with integrality conditions at almost all places.","display_name_alternatives":["adelic ring","ring of adeles","ad\u00e8le ring","ring of ad\u00e8les","adele rings"],"ids":{"openalex":"https://openalex.org/keywords/adele-ring","wikidata":"https://www.wikidata.org/wiki/Q355356"},"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.2989,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.2989,"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/T13234","display_name":"advanced mathematical theories","score":0.2412,"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/T11166","display_name":"Analytic Number Theory Research","score":0.1003,"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"}}],"works_count":120,"cited_by_count":588,"works_api_url":"https://api.openalex.org/works?filter=keywords.id:keywords/adele-ring","updated_date":"2026-10-17T04:06:27","created_date":"2022-04-12T19:38:12"}
