8 citations · 24 across the 5 of their papers we have counts for
5 papers
The bounded derived category of a poset
Kosmas Diveris, Marju Purin, Peter Webb
We introduce a new combinatorial condition on a subinterval of a poset P (a clamped subinterval) that allows us to relate the Auslander-Reiten quiver of the bounded derived categor…
Combinatorial Restrictions on the Tree Class of the Auslander-Reiten Quiver of a Triangulated Category
Kosmas Diveris, Marju Purin, Peter Webb
We show that if a connected, Hom-finite, Krull-Schmidt triangulated category has an Auslander-Reiten quiver component with Dynkin tree class then the category has Auslander-Reiten…
Vanishing of self-extensions over symmetric algebras
Kosmas Diveris, Marju Purin
We study self-extensions of modules over symmetric artin algebras. We show that non-projective modules with eventually vanishing self-extensions must lie in AR components of stable…
Finitistic Extension Degree
Kosmas Diveris
We introduce the finitistic extension degree of a ring and investigate rings for which it is finite. The Auslander-Reiten Conjecture is proved for rings of finite finitistic extens…
A Generalization of the Auslander-Reiten Conjecture for the Bounded Derived Category
Kosmas Diveris, Marju Purin
We study the bounded derived category $\D^b(\Rmod)$ of a left Noetherian ring . We give a version of the Generalized Auslander-Reiten Conjecture for $\D^b(\Rmod)$ that is equiva…