Structure of flat covers of injective modules

Abstract

Abstract. The aim of this paper is to discuss the flat covers of injective modules over a Noetherian ring. Let R be a commutative Noetherian ring and let E be an injective R-module. We prove that the flat cover of E is isomorphic to p∈Att R (E) T p . As a consequence, we give an answer to Xu's question [10, 4.