Algebras determined by $\tau$-slices
Rings and Algebras
2025-11-18 v1 Representation Theory
Abstract
In this paper we revisit the notion of strict laura algebras through the lens of -tilting theory to define the family of algebras determined by -slices. We show that the representation dimension of every algebra determined by -slices satisfying mild conditions is at most three.
Cite
@article{arxiv.2511.11827,
title = {Algebras determined by $\tau$-slices},
author = {Viviana Gubitosi and Hipolito Treffinger},
journal= {arXiv preprint arXiv:2511.11827},
year = {2025}
}