On Extensions for Gentle Algebras Page 1 http://dx.doi.org/. /SXX ©Canadian Mathematical
Society On Extensions for Gentle Algebras İlke Çanakçı, David Pauksztello, and Sibylle Schroll …

We introduce several commutative rings, the snake rings, that have strong connections to
cluster algebras and that are interesting on their own right as combinatorially defined rings …

Mapping cones in the bounded derived category of a gentle algebra - ScienceDirect Skip to
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In this paper we introduce abstract string modules and give an explicit bijection between the
submodule lattice of an abstract string module and the perfect matching lattice of the …

Given a certain triangulation of a punctured surface with boundary, we construct a new
triangulated surface without punctures which covers it. This new surface is naturally …

In this paper we define almost gentle algebras, which are monomial special multiserial
algebras generalizing gentle algebras. We show that the trivial extension of an almost gentle …

Given a tree embedded in a disk, we define two lattices-the oriented flip graph of
noncrossing arcs and the lattice of noncrossing tree partitions. When the interior vertices of …

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 …

Let $\mathcal {D} $ be a Hom-finite, Krull-Schmidt, 2-Calabi-Yau triangulated category with a
rigid object $ R $. Let $\Lambda=\operatorname {End} _ {\mathcal {D}} R $ be the …

The purpose of this paper is to understand lattices of certain subcategories in module
categories of representation-finite gentle algebras called tiling algebras, as introduced by …