Geodesic
On Direct Sums of Injective Modules and Chain Conditions
Canadian journal of mathematics, Tome 46 (1994) no. 3, pp. 634-647

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be a ring and M a right R-module. Let σ[M] be the full subcategory of Mod-R subgenerated by M. An M-natural class K is a subclass of σ[M] closed under submodules, direct sums, isomorphic copies, and M-injective hulls. We present some equivalent conditions each of which describes when σ has the property that direct sums of (M-)injective modules in σ are (M-)injective. Specializing to particular M, and/or special subclasses we obtain many new results and known results as corollaries.
DOI : 10.4153/CJM-1994-034-9
Mots-clés : 16D50, 16D70, 16P70, 16D70, 16P40 
Page, Stanley S.; Zhou, Yiqiang. On Direct Sums of Injective Modules and Chain Conditions. Canadian journal of mathematics, Tome 46 (1994) no. 3, pp. 634-647. doi: 10.4153/CJM-1994-034-9
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