arXiv Open Access 2024

A representation embedding for algebras of infinite type

Raymundo Bautista Ramos Jesús Efrén Pérez Terrazas Leonardo Salmerón Castro

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Abstrak

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.

Topik & Kata Kunci

math.RT

Penulis (3)

Raymundo Bautista Ramos

Jesús Efrén Pérez Terrazas

Leonardo Salmerón Castro

Format Sitasi

APA MLA BibTeX

Ramos, R.B., Terrazas, J.E.P., Castro, L.S. (2024). A representation embedding for algebras of infinite type. https://arxiv.org/abs/2406.03370

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓