In this paper, we first study properties of the lower central chains for Novikov algebras. Then we show that for every Lie nilpotent Novikov algebra~$\mathcal{N}$, the ideal of~$\mathcal{N}$β¦ Expand

We compute the monoid V(LK(E)) of isomorphism classes of finitely generated projective modules over certain graph algebras LK(E), and we show that this monoid satisfies the refinement property andβ¦ Expand

For any field π and integer n β₯ 2, we consider the Leavitt algebra L π(n); for any integer d β₯ 1, we form the matrix ring S = M d (L π(n)). S is an associative algebra, but we view S as a Lieβ¦ Expand

We introduce the notion of orbit equivalence of directed graphs, following Matsumotoβs notion of continuous orbit equivalence for topological Markov shifts. We show that two graphs in which everyβ¦ Expand

Let $R$ be an associative ring with centre $Z$. The aim of this paper is to study how the ideal structure of the Lie ring of derivations of $R$, denoted $D(R)$, is determined by the ideal structureβ¦ Expand

Given an arbitrary graph, we describe the center of its Leavitt path algebra over a commutative unital ring. Our proof uses the Steinberg algebra model of the Leavitt path algebra. A key ingredientβ¦ Expand

The central concept of this thesis is that of Leavitt path algebras, a notion introduced by both Abrams and Aranda Pino in [AA1] and Ara, Moreno and Pardo in [AMP] in 2004. The idea of using a fieldβ¦ Expand