Structure of flat covers of injective modules

Sh. Payrovi; M. Akhavizadegan

Colloquium Mathematicae, Tome 96 (2003), p. 93-101 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $\prod_{p \in A t t_{R} (E)} T_{p}$ . 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)?

Publié le : 2003-01-01

Zbl 1025.13002

EUDML-ID : urn:eudml:doc:284695

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Sh. Payrovi; M. Akhavizadegan. Structure of flat covers of injective modules. Colloquium Mathematicae, Tome 96 (2003) pp. 93-101. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-1-9/