The singularity category of a quadratic monomial algebra
Representation Theory
2018-10-02 v1 Rings and Algebras
Abstract
We exploit singular equivalences between artin algebras, that are induced from certain functors between the stable module categories. Such functors are called pre-triangle equivalences. We construct two pre-triangle equivalences connecting the stable module category over a quadratic monomial algebra and the one over an algebra with radical square zero. Consequently, we obtain an explicit singular equivalence between the two algebras.
Cite
@article{arxiv.1502.02094,
title = {The singularity category of a quadratic monomial algebra},
author = {Xiao-Wu Chen},
journal= {arXiv preprint arXiv:1502.02094},
year = {2018}
}