We study periodicity and twisted periodicity of the trivial extension algebra $ T (A) $ of a finite-
dimensional algebra $ A $. Our main results show that (twisted) periodicity of $ T (A) $ is …

Let J (C) be the poset of order ideals of a cominuscule poset C where C comes from two of
the three infinite families of cominuscule posets or the exceptional cases. We show that the …

We prove that the bounded derived category of the incidence algebra of the Tamari lattice is
fractionally Calabi-Yau, giving a positive answer to a conjecture of Chapoton. The proof …

We consider the homotopy category of perfect complexes for a finite dimensional self-
injective algebra over a field, identifying many aspects of perfect complexes according to …

In this paper, we extend the work of Diveris, Purin and Webb [5] to explore the structure of
Auslander-Reiten quiver of D b (kP⋊ G) and kP⋊ G where G is a finite group, P is a finite …