Year: 2026
Type: preprint
Abstract: We construct a finite-dimensional Auslander-regular algebra $R$ with global dimension three, which is right diagonal but not left diagonal; moreover, any simple right $R$-module with grade $i$ has projective dimension $i$, but there is a simple left $R$-module with grade one and projective dimension two. It answers a question raised by Iyama negatively.
Source: arXiv (Cornell University)
Authors: Wang, Zhenyu, Huang, Zhaoyong, Liu, Yu-Zhe
Institutions: Nanjing University, Guizhou University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1861254460, G2985936811, G3911476229
OpenAlex ID: W7221161788