Geodesic
Modules commuting (via Hom) with some colimits
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 891-905 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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For every module $M$ we have a natural monomorphism \[ \Psi :\coprod _{i\in I}\mathop {\mathrm Hom}\nolimits _R(M,A_i)\rightarrow \mathop {\mathrm Hom}\nolimits _R\biggl (M,\coprod _{i\in I}A_i\biggr ) \] and we focus our attention on the case when $\Psi $ is also an epimorphism. Some other colimits are also considered.
For every module $M$ we have a natural monomorphism \[ \Psi :\coprod _{i\in I}\mathop {\mathrm Hom}\nolimits _R(M,A_i)\rightarrow \mathop {\mathrm Hom}\nolimits _R\biggl (M,\coprod _{i\in I}A_i\biggr ) \] and we focus our attention on the case when $\Psi $ is also an epimorphism. Some other colimits are also considered.
Classification : 16B99, 16D10, 16E30, 18A35
Keywords: module; colimit; finitely presented module 
@article{CMJ_2003_53_4_a8,
     author = {Bashir, Robert El and Kepka, Tom\'a\v{s} and N\v{e}mec, Petr},
     title = {Modules commuting (via {Hom)} with some colimits},
     journal = {Czechoslovak Mathematical Journal},
     pages = {891--905},
     year = {2003},
     volume = {53},
     number = {4},
     mrnumber = {2018837},
     zbl = {1080.16504},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a8/}
}
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Bashir, Robert El; Kepka, Tomáš; Němec, Petr. Modules commuting (via Hom) with some colimits. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 891-905. http://geodesic.mathdoc.fr/item/CMJ_2003_53_4_a8/