In this article, gentle algebras are realised as tiling algebras, which are associated to partial
triangulations of unpunctured surfaces with marked points on the boundary. This notion of …

The cyclic sieving phenomenon was defined by Reiner, Stanton, and White in a 2004 paper.
Let X be a finite set, C be a finite cyclic group acting on X, and f (q) be a polynomial in q with …

We study extension spaces, cotorsion pairs and their mutations in the cluster category of a
marked surface without punctures. Under the one-to-one correspondence between the …

Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin
type $$A_{ \infty }$$ | SpringerLink Skip to main content Advertisement SpringerLink Log in …

We classify the torsion pairs in a tube category and show that they are in bijection with
maximal rigid objects in the extension of the tube category containing the Prüfer and adic …

Torsion pairs in the category of finitely presented modules over a noetherian ring can be
parametrised by the class of cosilting modules. In this paper, we characterise such modules …

We show that the quotient of a Hom‐finite triangulated category 𝒷 by the kernel of the functor
Hom𝒷 (T,−), where T is a rigid object, is preabelian. We further show that the class of regular …

We give a complete classification of torsion pairs in the cluster categories associated to
tubes of finite rank. The classification is in terms of combinatorial objects called Ptolemy …

We extend Ng's characterisation of torsion pairs in the 2-Calabi–Yau triangulated category
generated by a 2-spherical object to the characterisation of torsion pairs in the w-Calabi …

We give a complete classification of torsion pairs in the cluster category of Dynkin type D n,
via a bijection to new combinatorial objects called Ptolemy diagrams of type D. For the latter …