17 citations · 30 across the 13 of their papers we have counts for
4 papers · 1 filter
Strongness of companion bases for cluster-tilted algebras of finite type
Karin Baur, Alireza Nasr-Isfahani
For every cluster-tilted algebra of simply-laced Dynkin type we provide a companion basis which is strong, i.e. gives the set of dimension vectors of the finitely generated indecom…
Decomposable Leavitt path algebras for arbitrary graphs
Gonzalo Aranda Pino, Alireza Nasr-Isfahani
For any field and for a completely arbitrary graph , we characterize the Leavitt path algebras that are indecomposable (as a direct sum of two-sided ideals) in term…
Singular equivalence of finite dimensional algebras with radical square zero
Alireza Nasr-Isfahani
We prove that the Crisp and Gow's quiver operation on a finite quiver Q produces a new quiver Q' with fewer vertices, such that the finite dimensional algebras kQ/J^2 and kQ'/J^2 a…
The cycline subalgebra of a Kumjian-Pask algebra
Lisa Orloff Clark, Cristóbal Gil Canto, Alireza Nasr-Isfahani
Let be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra inside the Kumjian-Pask algebra . We also prove…