On algebraic cellular automata

Details On algebraic cellular automata On algebraic cellular automata

2010-11-22

arxiv.org/abs/1011.4759v2

J. Lond. Math. Soc. (2) 84 (2011), 541-558

Mathematics

Algebraic Geometry

Scientific paper

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

Affiliated with

Also associated with

No associations

Rating

On algebraic cellular automata does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On algebraic cellular automata, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On algebraic cellular automata will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-657148