Geodesic
Structure of flat covers of injective modules
Sh. Payrovi1 ; M. Akhavizadegan1
1 Imam Khomeini International University P.O. Box 288 Qazvin, Iran
Colloquium Mathematicum, Tome 96 (2003) no. 1, pp. 93-101

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\prod _{p\in {\rm Att}_{R}(E)}T_p$. 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 $E(R/\underline m)$?
DOI : 10.4064/cm96-1-9
Keywords: paper discuss flat covers injective modules noetherian ring commutative noetherian ring injective r module prove flat cover isomorphic prod att consequence answer xus question prime ideal does appear flat cover underline

Sh. Payrovi 1 ; M. Akhavizadegan 1

1 Imam Khomeini International University P.O. Box 288 Qazvin, Iran 
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Sh. Payrovi; M. Akhavizadegan. Structure of flat covers of injective modules. Colloquium Mathematicum, Tome 96 (2003) no. 1, pp. 93-101. doi: 10.4064/cm96-1-9

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