Monomial algebras of dominant dimension at least two

Abstract

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

Keywords:

• Monomial algebras
• double centralizer property
• dominant dimension
• Nakayama algebras

2010 Mathematics Subject Classification:

• Primary 16G10
• 16E10

Disclosure statement

No potential conflict of interest was reported by the author.