Alexander Holguín-Villa

collaborators

3 papers

math.RA2025

Cayley unitary elements in group algebras under oriented involutions

John H. Castillo, Yzel Wlly Gómez-Espíndola, Alexander Holguín-Villa

Let $F$ be a real extension of $Q$ , $G$ a finite group and $F G$ its group algebra. Given both a group homomorphism $σ : G \to {\pm 1}$ (called an o…

math.RA2022

On Duo, Reversible and Symmetric Group Rings

Brayan S. Flórez-Burbano, Alexander Holguín-Villa, John H. Castillo

Let $R G$ denote the group ring of the torsion group $G$ over a commutative ring $R$ with identity. In this paper we present proofs of some statements that appear without to be prov…

cs.IT2022

A graphical representation of binary linear codes

Lisbeth Danyeli Delgado Ordoñez, John H. Castillo, Alexander Holguín-Villa

A binary $[n, k]$ -linear code $C$ is a $k$ -dimensional subspace of $F_{2}^{n}$ . For $x \in F_{2}^{n}$ , the set $x + C$ is a cose…