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Abstract: We investigate some general properties of algebraic cellular automata, i.e.,cellular automata over groups whose alphabets are affine algebraic sets andwhich are locally defined by regular maps. When the ground field is assumed tobe uncountable and algebraically closed, we prove that such cellular automataalways have a closed image with respect to the prodiscrete topology on thespace of configurations and that they are reversible as soon as they arebijective.



Autor: Tullio Ceccherini-Silberstein, Michel Coornaert

Fuente: https://arxiv.org/







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