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 …

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 …

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 …

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 …

Isomorphisms of graded path algebras Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 149, Number 4, April 2021, Pages 1395–1403 https://doi.org/10.1090/proc/15425 …

arXiv:2207.09488v1 [math.RT] 19 Jul 2022 Page 1 arXiv:2207.09488v1 [math.RT] 19 Jul 2022
HOMOLOGICAL INVARIANTS OF GENERALIZED BOUND PATH ALGEBRAS VIKTOR CHUST …

Let K be a field, Q=(Q0, Q1) be a quiver and KQ be the generalised path algebra [10]. This
paper gives a characterisation for the right and left modules over the path algebras of finite …

The irreducible components of varieties parametrizing the finite dimensional representations
of a finite dimensional algebra Λ are explored, with regard to both their geometry and the …

We give an elementary introduction to the theory of quiver representations, which is the
foundation of a dynamic area of research. Relying only on basic concepts from linear and …

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 …