Saved in:
Bibliographic Details
Main Authors: Ramos, Raymundo Bautista, Terrazas, Jesús Efrén Pérez, Castro, Leonardo Salmerón
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.03370
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • We show that for any finite-dimensional algebra $Λ$ of infinite representation type, over a perfect field, there is a bounded principal ideal domain $Γ$ and a representation embedding from $Γ-$mod into $Λ-$mod. As an application, we prove a variation of the Brauer-Trall Conjecture II: finite-dimensional algebras of infinite-representation type admit infinite families of non-isomorphic finite-dimensional indecomposables with fixed endolength, for infinitely many endolengths.