Abstract:
The Dedekind rings multiplicativly indistinguishable with $\mathbb{Z}$ are classified. Certain inaccuracies of a previous paper are corrected. Deuring's reasoning related to the Riemann conjecture and the finiteness of the list of Gauss’ class number problem for imaginary quadratic 10-th discriminant problem are heuvristically explained.
Key words and phrases:generalized ring, Durov's approach, field with one element, noncommutative tensor square, field with class number one, Riemann conjecture.
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