Alonso Castillo-Ramirez

activity

20182020

collaborators

5 papers

math.GR2020

Miyamoto groups of code algebras

Alonso Castillo-Ramirez, Justin McInroy

A code algebra $A_{C}$ is a nonassociative commutative algebra defined via a binary linear code $C$ . In a previous paper, we classified when code algebras are $Z_{2}$ -graded a…

math.GR2019

On the minimal number of generators of endomorphism monoids of full shifts

Alonso Castillo-Ramirez

For a group $G$ and a finite set $A$ , denote by $End (A^{G})$ the monoid of all continuous shift commuting self-maps of $A^{G}$ and by $Aut (A^{G})$ its group of units. We st…

math.GR2019

Bounding the minimal number of generators of groups and monoids of cellular automata

Alonso Castillo-Ramirez, Miguel Sanchez-Alvarez

For a group $G$ and a finite set $A$ , denote by $CA (G; A)$ the monoid of all cellular automata over $A^{G}$ and by $ICA (G; A)$ its group of units. We study the minimal ca…

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