Abstract
Let M be an Artinian left module over a ring R and let G be a residually finite group. We prove that every injective R-linear cellular automaton τ : M G → M G is surjective.
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© 2007 Birkhäuser Verlag Basel/Switzerland
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Ceccherini-Silberstein, T., Coornaert, M. (2007). On the Surjunctivity of Artinian Linear Cellular Automata over Residually Finite Groups. In: Arzhantseva, G.N., Burillo, J., Bartholdi, L., Ventura, E. (eds) Geometric Group Theory. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8412-8_3
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DOI: https://doi.org/10.1007/978-3-7643-8412-8_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8411-1
Online ISBN: 978-3-7643-8412-8
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