The Gabriel-Roiter measures admitting no direct predecessors over $n$-Kronecker quivers

Abstract

Let $Q$ be an $n$-Kronecker quiver, i.e., a quiver with two vertices, labeled by 1 and 2, and $n$ arrows from 2 to 1. We show that there are infinitely many Gabriel-Roiter measures admitting no direct predecessors.

References in corpus (1)

• The number of the Gabriel-Roiter measures admitting no direct predecessors over a wild quiver

Cited by in corpus (2)

• The GR-segments for tame quivers
• Regular modules with preprojective Gabriel-Roiter submodules over $n$-Kronecker quivers