Representations of generalized bound path algebras

The concept of generalized path algebras was introduced in Coelho and Liu (Lecture Notes Pure Appl. Math. 210, 53–66, 2000). Roughly speaking, these are constructed a way similar to that over quiver, the difference being we assign an algebra each vertex quiver consider paths intercalated with elements from algebras. Then use concatenation together structure define multiplication. representations were described Cobos et al. (Rev Roumaine Math Pures Appl 53(1):25–36, 2008), terms used its construction. In this article, continue our investigation started Chust (Comm Algebra 50(5):2056–2071, 2022) extend result mentioned above describe bound algebras, which quotient by ideal generated relations. particular, associated projective injective modules described.