A note on the $m$-extended module categories of Nakayama algebras
Representation Theory
2026-01-22 v1
Abstract
We study the extended module category of an algebra , recently introduced by Gupta and Zhou. The existence of a postprojective component of is shown for certain algebras , and a knitting algorithm through cohomological dimension vectors is provided. In particular, the extended module category of Nakayama algebras with homogeneous relations are investigated, and it is classified when they are of finite type. The paper give fully calculated AR-quivers for several Nakayama algebras.
Keywords
Cite
@article{arxiv.2601.14843,
title = {A note on the $m$-extended module categories of Nakayama algebras},
author = {Endre Sørmo Rundsveen},
journal= {arXiv preprint arXiv:2601.14843},
year = {2026}
}