Hereditary Modules over Path Algebras of a Quiver Containing Cycles

Abstract

Let  be a quiver, any field, and  denotes the path algebra of with coefficients in .  A module is called hereditary if all its submodules are projective.  In this paper, we characterize hereditary modules over the path algebra  of a quiver  which contains cycles.

Keywords: path algebras, representations of quivers, hereditary modules