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18 votes

Errata for Atiyah–Macdonald

EDIT OF JULY 26, 2017 Proposition 2.4 page 21 reads: Let $M$ be a finitely generated $A$-module, let $\mathfrak a$ be an ideal of $A$, and let $\phi$ be an $A$-module endomorphism of $M$ such tha …
3 votes

Subset of the plane that intersects every line exactly twice

Here is a minor variation of the proof. We show that there is a subset $Z$ of $\mathbb R^2$ which intersects each line exactly twice. We define the ordinals in such a way that each ordinal $a$ is th …