English

On the extension-closed property for the subcategory $\text{Tr}(\Omega^2({\rm mod}-A))$

Representation Theory 2021-06-09 v2

Abstract

We present a monomial quiver algebra AA having the property that the subcategory Tr(Ω2(modA))\text{Tr}(\Omega^2({\rm mod}-A)) is not extension-closed. This answers a question raised by Idun Reiten.

Keywords

Cite

@article{arxiv.2105.14911,
  title  = {On the extension-closed property for the subcategory $\text{Tr}(\Omega^2({\rm mod}-A))$},
  author = {Bernhard Böhmler and René Marczinzik},
  journal= {arXiv preprint arXiv:2105.14911},
  year   = {2021}
}