Alexander Holguín-Villa

activity

20152026

collaborators

Showing math.RAShow all

3 papers · 1 filter

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…

math.RA2015

Group identities on symmetric units under oriented involutions in group algebras

Alexander Holguín-Villa, John H. Castillo

Let $F G$ denote the group algebra of a locally finite group $G$ over the infinite field $F$ with $c ha r (F) \neq = 2$ , and let $\circledast:\mathbb{F}G\righta…