Integrality of matrices, finiteness of matrix semigroups, and dynamics of linear and additive cellular automata

Alberto Dennunzio, Enrico Formenti, Darij Grinberg +1

Let $\mathbb{K}$ be a finite commutative ring, and let $\mathbb{L}$ be a commutative $\mathbb{K}$-algebra. Let $A$ and $B$ be two $n\times n$-matrices over $\mathbb{L}$ that have…