Concerning three classes of non-Diophantine arithmetics

Michele Caprio, Andrea Aveni, Sayan Mukherjee

We present three classes of abstract prearithmetics, $\{{\mathbf{A}}_M{\}}_{M\ge 1}$, $\{{\mathbf{A}}_{-M,M}{\}}_{M\ge 1}$, and $\{{\mathbf{B}}_M{\}}_{M>0}$. The first one is weakly proj…