On Shift Spaces with Algebraic Structure

Mathematics – Dynamical Systems

Scientific paper

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12 pages. A shortened version accepted for publication in the proceedings of Computability in Europe 2012

Scientific paper

We investigate subshifts with a general algebraic structure and cellular
automata on them, with an emphasis on (order-theoretic) lattices. Our main
results concern the characterization of Boolean algebraic subshifts, conditions
for algebraic subshifts to be recoded into cellwise algebras and the limit
dynamics of homomorphic cellular automata on lattice subshifts.

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