Some Properties of Precovers and Covers |
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Authors: | Ladislav Bican |
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Affiliation: | 1. KA MFF UK, Sokolovská 83, 186 00, Praha 8 – Karlín, Czech Republic
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Abstract: | At the beginning of this note the $mathcal{G}$ -covers, $mathcal{G}$ being a hereditary class of modules, are characterized as that for which the homomorphisms into $mathcal{G}$ -precovers are injective as well as that for which the homomorphisms from $mathcal{G}$ -precovers are surjective. The next part studies the (pre)covers of (relatively) injective modules and some relations between the (relative) injectivity of modules and their (pre)covers. |
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