Reading's" shard intersection order" on the symmetric group can be realized as the" lattice of
wide subcategories" of the corresponding preprojective algebra. In this paper, we first use …

Let $\Lambda $ be a finite-dimensional algebra. A wide subcategory of $\mathsf
{mod}\Lambda $ is called left finite if the smallest torsion class containing it is functorially …

Abstract Recently, Buan and Marsh showed that if two complete τ-exceptional sequences
agree in all but at most one term, then they must agree everywhere, provided the algebra is τ …

Let $\mathcal {C} $ be an extriangulated category and let $\mathcal {R}\subseteq\mathcal
{C} $ be a rigid subcategory. Generalizing Iyama--Yang silting reduction, we devise a …

We provide new equivalent conditions for an algebra $\Lambda $ to be $ g $-finite,
analogous to those established by L. Demonet, O. Iyama, and G. Jasso, but within the …

In this paper, we introduce the notion of an admissible partition of a simplicial polyhedral fan
and define the category of a partitioned fan as a generalisation of the $\tau $-cluster …

In this paper we study the Cartan matrix associated to the Ext-projective stratifying system
induced by a basic and τ-rigid object M in mod (A) by means of the g-vectors of the …

We introduce a notion of mutation for $\tau $-exceptional sequences of modules over
arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides …