English

On monomial algebras having the double centraliser property

Representation Theory 2018-02-13 v1

Abstract

Let AA be a finite dimensional algebra having the double centraliser property with respect to a minimal faithful projective-injective left module AfAf for some idempotent ff. We prove that in this case AA is a monomial algebra if and only if AA is a Nakayama algebra given by quiver and relations.

Keywords

Cite

@article{arxiv.1802.04175,
  title  = {On monomial algebras having the double centraliser property},
  author = {Rene Marczinzik},
  journal= {arXiv preprint arXiv:1802.04175},
  year   = {2018}
}
R2 v1 2026-06-23T00:19:34.203Z