The Cohen-Macaulay Auslander algebras of string algebras
Representation Theory
2023-03-14 v1 Rings and Algebras
Abstract
The Cohen-Macaulay Auslander algebra of any string algebra is explicitly constructed in this paper. Furthermore, we show that a class of special string algebras, which are called to be string algebras with G-condition, are representation-finite if and only if their Cohen-Macaulay Auslander algebras are representation-finite. Finally, the self-injective dimension of gentle algebras is characterized using their Cohen-Macaulay Auslander algebras.
Keywords
Cite
@article{arxiv.2303.06645,
title = {The Cohen-Macaulay Auslander algebras of string algebras},
author = {Yu-Zhe Liu and Chao Zhang},
journal= {arXiv preprint arXiv:2303.06645},
year = {2023}
}
Comments
21 pages, 8 figures