I'm reading Atiyah Macdonald 11.21.
But I'm not sure what "A contains a field k mapping isomorphically onto the residue field A/m" means and have no idea to apply proposition 11.20
Can somebody help me?
2026-03-25 22:05:04.1774476304
What does it mean A contains a field k mapping isomorphically onto the residue field A/m in Atiyah Macdonald 11.21?
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It means that there is a field $k\subset A$ such that the induced map $k\subset A\to A/\mathfrak m$ is an isomorphism.