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s -pure submodules.

Crivei, Iuliu (2005)

International Journal of Mathematics and Mathematical Sciences

Structure of flat covers of injective modules

Sh. Payrovi, M. Akhavizadegan (2003)

Colloquium Mathematicae

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 A t t R ( E ) T p . As a consequence, we give an answer to Xu’s question [10, 4.4.9]: for a prime ideal p, when does T p appear in the flat cover of E(R/m̲)?

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