Is it possible to give the structure of a $\mathbb{Z}$-coalgebra on $\mathbb{Z}/n\mathbb{Z}$? If so, how would the comultiplication and counit be defined?
2026-03-26 06:27:54.1774506474
Structure of coalgebra on $\mathbb Z/n\mathbb Z$
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There is no $\mathbb{Z}$-algebra homomorphism $\mathbb{Z}/n\mathbb{Z} \to \mathbb{Z}$ (when $n>0$).