Algebras determined by $\ddot{I}„$-slices

Abstract

In this paper we revisit the notion of strict laura algebras through the lens of $\ddot{I}„$-tilting theory to define the family of algebras determined by $\ddot{I}„$-slices. We show that the representation dimension of every algebra determined by $\ddot{I}„$-slices satisfying mild conditions is at most three.