The theory of path algebras is usually circunscripted to the study of representations, usually
linked to finite graphs. In our work, we focus on studying the structure of path algebras over a …

The description of basic algebras of finite dimension over algebraically closed fields as
quotients of path algebras has been very useful in the representation theory, not only in …

The concept of generalized path algebras was introduced in Coelho and Liu (Lecture Notes
in Pure and Appl. Math. 210, 53–66, 2000). Roughly speaking, these algebras are …

The concept of generalized path algebras was introduced in Coelho and Liu (2000). It was
shown in Ibáñez Cobos et al.(2008) how to obtain the Gabriel quiver of a given generalized …

We develop the theory of generalized path algebras as defined by Coelho and Xiu [4]. In
particular, we focus on the relation between a set of algebras and its associated generalized …

It is shown that an algebra Λ can be lifted with nilpotent Jacobson radical r= r (Λ) and has a
generalized matrix unit e ii I with each ē ii in the center of ̄Λ=Λ/r if Λ is isomorphic to a …

In this text, we are concerned with ring epimorphisms, and more specifically universal
localisations, from path algebras to matrix algebras. We are mainly focused on constructing …

While every matrix algebra over a field K can be realized as a Leavitt path algebra, this is not
the case for every graded matrix algebra over a graded field. We provide a complete …

Let $ E $ be a finite directed graph, and let $ I $ be the poset obtained as the
antisymmetrization of its set of vertices with respect to a pre-order $\le $ that satisfies $ v\le w …

Leavitt path algebras are shown to be algebras of right quotients of their corresponding path
algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) …