English

Higher gentle algebras

Representation Theory 2019-05-01 v2

Abstract

We introduce higher gentle algebras. Our definition allows us to determine the singularity categories and subsequently show that higher gentle algebras are Iwanaga-Gorenstein. Under extra assumptions, we show that cluster-tilted algebras (in the sense of Oppermann-Thomas) of higher Auslander algebras of type AA are higher gentle.

Keywords

Cite

@article{arxiv.1903.07125,
  title  = {Higher gentle algebras},
  author = {Jordan McMahon},
  journal= {arXiv preprint arXiv:1903.07125},
  year   = {2019}
}

Comments

16 pages

R2 v1 2026-06-23T08:10:39.813Z