Let R 0 be a commutative and associative ring (not necessarily unital), G a group and α a
partial action of G on ideals of R 0, all of which have local units. We show that R 0 is maximal …

Double (quasi-) Poisson algebras were introduced by Van den Bergh as noncommutative
analogues of algebras endowed with a (quasi-) Poisson bracket. In this work, we provide a …

arXiv:1202.0379v1 [math.RT] 2 Feb 2012 Page 1 arXiv:1202.0379v1 [math.RT] 2 Feb 2012 ON
THE DIMENSIONS OF PATH ALGEBRAS JAVAD ASADOLLAHI AND RASOOL HAFEZI …

In this paper, we study properties such as simplicity, solvability and nilpotency for Lie bracket
algebras arising from Leavitt path algebras, based on the talented monoid of the underlying …

In this paper, we first define the pre-Lie family algebra associated to a dendriform family
algebra in the case of a commutative semigroup. Then we construct a pre-Lie family algebra …

In this article, we describe the endomorphism ring of a finitely generated progenerator
module of a weighted Leavitt path algebra $ L_ {K}(E, w) $ of a finite vertex weighted graph …

This document serves as an arXiv entry point for the appendix to the paper [13](the ancillary
file e6_proof. pdf--``Proof of the tree module property for exceptional representations of the …

Our first collection of results parametrize (filtered) actions of a quantum Borel U q (b)⊂ U q
(sl 2) on the path algebra of an arbitrary (finite) quiver. When q is a root of unity, we give …

We study a new class of quiver algebras on surfaces, called'geodesic ghor algebras'. These
algebras generalize cancellative dimer algebras on a torus to higher genus surfaces, where …

SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS
VIA PARTIAL SKEW GROUP RING THEORY Page 1 SIMPLICITY AND CHAIN …