How far from integrally closed can a finitely generated subring of a number field be? For example, is it possible to have a finitely generated subring of a number field that has infinite index (as additive group) in its integral closure? And is it true that every integrally closed finitely generated subring of a number field is a localization of a ring of integers?
2026-04-11 10:51:41.1775904701
finitely generated subrings of number fields
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