5 papers · 1 filter
Indecomposable Modules in the Grassmannian Cluster Category
Dusko Bogdanic, Ivan-Vanja Boroja
In this paper we study indecomposable rank 2 modules in the Grassmannian cluster category . This is the smallest wild case containing modules whose profile laye…
Decomposable extensions between rank modules in Grassmannian cluster categories
Dusko Bogdanic, Ivan-Vanja Boroja
Rank modules are the building blocks of the category of Cohen-Macaulay modules over a quotient of a preprojective algebra of affine type . Jen…
Construction of Rank Indecomposable Modules in Grassmannian Cluster Categories
Karin Baur, Dusko Bogdanic, Jian-Rong Li
The category of Cohen-Macaulay modules over a quotient of a preprojective algebra provides a categorification of the cluster algebra structure on the…
Cluster categories from Grassmannians and root combinatorics
Karin Baur, Dusko Bogdanic, Ana Garcia Elsener
The category of Cohen-Macaulay modules of an algebra is used [JKS16] to give an additive categorification of the cluster algebra structure on the homogeneous coordinate r…
Existence of Gradings on Associative Algebras
Dusko Bogdanic
In this paper we study the existence of gradings on finite dimensional associative algebras. We prove that a connected algebra does not have a non-trivial grading if and only i…