Alonso Castillo-Ramirez

activity

20132026

most citedCellular Automata and Finite Groups

12 citations · 82 across the 30 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.GR2022★ 7 cited

A generalization of cellular automata over groups

A. Castillo-Ramirez, M. Sanchez-Alvarez, A. Vazquez-Aceves +1

Let $G$ be a group and let $A$ be a finite set with at least two elements. A cellular automaton (CA) over $A^{G}$ is a function $τ : A^{G} \to A^{G}$ defined via a finite memory set $S \s…

math.GR2022

The relative rank of the endomorphism monoid of a finite $G$ -set

Alonso Castillo-Ramirez, Ramón H. Ruiz-Medina

For a group $G$ acting on a set $X$ , let $End_{G} (X)$ be the monoid of all $G$ -equivariant transformations, or $G$ -endomorphisms, of $X$ , and let $Aut_{G} (X)$ be its grou…

A generalization of cellular automata over groups

The relative rank of the endomorphism monoid of a finite G-set

The relative rank of the endomorphism monoid of a finite $G$ -set