Extension dimensions under singular equivalences and recollements
Representation Theory
2025-02-14 v1 Rings and Algebras
Abstract
The extension dimensions of an Artin algebra give a reasonable way of measuring how far an algebra is from being representation-finite. In this paper we mainly study extension dimensions linked by recollements of derived module categories and singular equivalences of Morita type with level, and establish a series of new inequalities and relationships among their extension dimensions.
Cite
@article{arxiv.2502.09009,
title = {Extension dimensions under singular equivalences and recollements},
author = {Jinbi Zhang and Junling Zheng},
journal= {arXiv preprint arXiv:2502.09009},
year = {2025}
}