Singularity categories of representations of algebras over local rings

M Lu - arXiv preprint arXiv:1702.01367, 2017 - arxiv.org
Let $\Lambda $ be a finite-dimensional algebra with finite global dimension, $ R_k= K
[X]/(X^ k) $ be the $\mathcal {Z} $-graded local ring with $ k\geq1 $, and …

A description of Gorenstein projective modules over the tensor products of algebras

D Shen - Communications in Algebra, 2019 - Taylor & Francis
Let A be a two-sided coherent algebra over a field k and B be a finite-dimensional algebra. If
B is Gorenstein, we give a description of finitely presented Gorenstein projective modules …

Comonads and Gorenstein Homological Algebra

S Kvamme - 2017 - bonndoc.ulb.uni-bonn.de
In this dissertation we study Gorenstein homological algebra and a generalization of the
Nakayama functor for finite-dimensional algebras. In the first part we show that the global …