IsAlmostIntegral

(R : Type u_1) → {S : Type u_2} → [inst : CommRing R] → [inst_1 : CommRing S] → [Algebra R S] → S → Prop

An element s in an R-algebra is almost integral if there exists r ∈ R⁰ such that r • s ^ n ∈ R for all n.

Defined in: Mathlib.RingTheory.IntegralClosure.IsIntegral.AlmostIntegral
Cited by: 8 results in Mathlib
Foundations: Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing Algebra

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