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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

22 votes

Short exact sequences every mathematician should know

I saw $0\to \mathbb Z_p\to \mathbb Z_{p^2}\to \mathbb Z_p\to 0$ as an answer, with $p$ prime, but I will add with $p$ not prime and the particular choice $p=10$, $$0\to \mathbb Z_{10}\to \mathbb Z_{10 …