Geodesic
Structure of flat covers of injective modules
Sh. Payrovi 1   ; M. Akhavizadegan 1
1 Imam Khomeini International University P.O. Box 288 Qazvin, Iran
Colloquium Mathematicum, Tome 96 (2003) no. 1, pp. 93-101 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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