The Ringel dual of the Auslander-Dlab-Ringel algebra

Abstract

The ADR algebra $R_A$ of a finite-dimensional algebra $A$ is a quasihereditary algebra. In this paper we study the Ringel dual $\mathcal{R}(R_A)$ of $R_A$. We prove that $\mathcal{R}(R_A)$ can be identified with $(R_{A^{op}}{)}^{op}$, under certain 'minimal' regularity conditions for $A$. We also give necessary and sufficient conditions for the ADR algebra to be Ringel selfdual.

25 pages

References in corpus (1)

• $\Delta$-filtrations and projective resolutions for the Auslander-Dlab-Ringel algebra

Cited by in corpus (3)

• Ringel duality for certain strongly quasi-hereditary algebras
• On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras
• On strongly quasi-hereditary algebras