2 problems

Let $\mathbb Z[q]^{\mathbb N}$ denote the cyclotomic completion of $\mathbb Z[q]$, and let $U(R)$ be the multiplicative group of units of a ring $R$. Unit-group conjecture. … The c…

Let $Z$ be an infinite subset of the set of all roots of unity over $\mathbb{Q}$, and let … be the homomorphism induced by evaluating polynomials at the elements of $Z$. Injectivit…