When Γ is a row-finite digraph, we classify all finite-dimensional modules of the Leavitt path
algebra L⁢(Γ) via an explicit Morita equivalence given by an effective combinatorial …

We study representations of a Leavitt path algebra L of a finitely separated digraph Γ over a
field. We show that the category of L-modules is equivalent to a full subcategory of quiver …

In this paper, we provide the structure of the Leavitt path algebra of a finite graph via some
step-by-step process of source eliminations, and restate Kanuni and Özaydin's nice criterion …

We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we
realize them as partial skew group rings. To do this we prove uniqueness theorems for …

In this paper, we provide the structure of Hopf graphs associated to pairs (G, r) consisting of
groups G together with ramification datas r and their Leavitt path algebras. Consequently …

In this note, first, we describe the (minimal) hereditary saturated subsets of finite acyclic
graphs and finite graphs whose cycles have no exits. Then we show that the Cartesian …

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 …

We classify row-finite Leavitt path algebras associated to graphs with no more than two
vertices. For the discussion we use the following invariants: decomposability, the $ K_0 …

The purpose of this section is to motivate the historical development of Leavitt algebras,
Leavitt path algebras and their various generalizations and thus provide a context for this …

For a finite group G and a subset S⊆ G, let the associated Cayley graph be denoted by Cay
(G, S). When the given group is Zn we write Cn (S)= Cay (Zn, S). Leavitt path algebras of …