中文摘要：

为了研究quiver△上的A-广义路代数R=k（△，A），基于本原正交幂等元完全集，给出了广义路代数R=k（△，A）的不可分解投射模与内射模以及单模的构造形式．基于遗传代数性质得到了广义路代数是遗传代数的充要条件，并进一步在同调理论和有限维代数的Hochschild上同调的基础上得到了广义路代数的Hochschild上同调．

英文摘要：

To study a generalized path algebra on the quiver△, all its indecomposable projective modules and injective modules, and simple modules were constructed by using a complete set of its orthogonal primitive elements. Based on the properties of hereditary algebras a sufficient and necessary condition for a generalized path algebra R =k(△,A) to be hereditary was proposed. Furthermore, the Hochschild cohomology of R = k (△, A ) based on homology theory and Hochschild cohomology of a finitely dimensional algebra was obtained.