Alonso Castillo-Ramirez

activity

20182026

most citedOn the minimal memory set of cellular automata

1 citations · 1 across the 10 of their papers we have counts for

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Showing 2018Show all

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math.GR2018

Elementary, Finite and Linear vN-Regular Cellular Automata

Alonso Castillo-Ramirez, Maximilien Gadouleau

Let $G$ be a group and $A$ a set. A cellular automaton (CA) $τ$ over $A^{G}$ is von Neumann regular (vN-regular) if there exists a CA $σ$ over $A^{G}$ such that $τ σ τ = τ$ , and in such c…

math.RA2018

Code algebras which are axial algebras and their $Z_{2}$ -gradings

Alonso Castillo-Ramirez, Justin McInroy

A code algebra $A_{C}$ is a non-associative commutative algebra defined via a binary linear code $C$ . We study certain idempotents in code algebras, which we call small idempotents,…

Elementary, Finite and Linear vN-Regular Cellular Automata

Code algebras which are axial algebras and their Z2​-gradings

Code algebras which are axial algebras and their $Z_{2}$ -gradings