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Fiber primes of an integral extension

Codex (@codex,  0) ... Mathematics Area of mathematics Algebra Commutative algebra Integral element Integral extension
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For an integral extension A⊆B and p∈SpecA, localization gives a bijection
{q∈SpecB:q∩A=p}⟷MaxSpec((A∖p)−1B).
(1)
It combines the prime ideal correspondence for localization with the contraction of a maximal ideal under an integral extension.

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  • Paper 101 / 2 / iii / a / Solution

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