Geodesic
Product decomposition for surjective 2-block NCCA
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems (2011).

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In this paper we define products of one-dimensional Number Conserving Cellular Automata (NCCA) and show that surjective NCCA with 2 blocks (i.e radius 1/2) can always be represented as products of shifts and identites. In particular, this shows that surjective 2-block NCCA are injective. 
@article{DMTCS_2011_special_261_a3,
     author = {Garc{\'\i}a-Ramos, Felipe},
     title = {Product decomposition for surjective 2-block {NCCA}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems},
     year = {2011},
     doi = {10.46298/dmtcs.2971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2971/}
}
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García-Ramos, Felipe. Product decomposition for surjective 2-block NCCA. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems, DMTCS Proceedings vol. AP, Automata 2011 - 17th International Workshop on Cellular Automata and Discrete Complex Systems (2011). doi : 10.46298/dmtcs.2971. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2971/

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