We explicitly describe field independent tree representations of the canonically oriented
quiver $\widetilde {\mathbb {D}} _ {m} $. Recall that matrices of tree representations involve …

Refining an idea of Rosenmann and Rosset we show that the now widely studied classical
Leavitt algebra $ L_K (1, n) $ over a field $ K $ is a ring of right quotients of the unital free …

In this article we show that the local structure of the projective representation space of a
graded algebra can locally be described by quivers with an automorphism of their path …

We study generalizations of pre-Lie algebras, where the free objects are based on rooted
trees which edges are typed, instead of usual rooted trees, and with generalized pre-Lie …

The purpose of this article is to provide a common framework for studying various
generalizations of Leavitt path algebras. We first define Cohn-Leavitt path algebras of …

Happel and Unger defined a partial order on the set of basic tilting modules. We study the
poset of basic preprojective tilting modules over path algebras of representation-infinite type …

For a finite group action on a finite EI quiver, we construct itsorbifold'quotient EI quiver. The
free EI category associated to the quotient EI quiver is equivalent to the skew group category …

Recent articles consider invertible and locally invertible algebras (respectively, those having
a basis consisting solely of invertible or solely of strongly regular elements). Previous …

We focus on a class of special representations over a type $\mathbb {D} $ quiver $ Q_ {D} $
with $ n $ vertices and directional symmetry, namely, maximal almost pre-rigid …

We define notions of semi-saturatedness and orthogonality for a Fell bundle over a quasi-
lattice ordered group. We show that a compactly aligned product system of Hilbert …