Skew-gentle algebras are a generalisation of the well-known class of gentle algebras with
which they share many common properties. In this work, using non-commutative Gröbner …

For given bound quiver algebras A and B, we obtain a new algebra Λ, called the simple
gluing algebra, by identifying two vertices. We investigate the Gorenstein homological …

We determine the derived representation type of Nakayama algebras and prove that a
derived tame Nakayama algebra without simple projective module is gentle or derived …

We prove irreducible components of moduli spaces of semistable representations of skewed-
gentle algebras, and more generally, clannish algebras, are isomorphic to products of …

Let $ B\subseteq A $ be an extension of finite dimensional algebras. We provide a sufficient
condition for the existence of triangle equivalences of singularity categories (resp …

Let $\Lambda $ be an arbitrary monomial algebra. We investigate the stable category
$\underline {\operatorname {Gproj}}^{\mathbb {Z}}\Lambda $ of graded Gorenstein …

For any skewed-gentle algebra, we characterize its indecomposable Gorenstein projective
modules explicitly and describe its Cohen–Macaulay Auslander algebra. We prove that …

Abstract In (Cerulli Irelli et al., Adv. Math. 245 (1) 182–207 2013), Cerulli Irelli-Feigin-
Reineke construct a desingularization of quiver Grassmannians for Dynkin quivers …

Let k be a field of arbitrary characteristic, let Λ be a finite dimensional k-algebra, and let V be
a finitely generated Λ-module. FM Bleher and the third author previously proved that V has a …

In this article, we continue the study of a certain family of 2-Calabi–Yau tilted algebras,
called dimer tree algebras. The terminology comes from the fact that these algebras can also …