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math.RA2011
Modules such that $\Ext_R^1(M,-)$ commutes with direct limits
Simion Breaz
We will use Watts's theorem together with Lenzing's characterization of finitely presented modules via commuting properties of the induced tensor functor in order to study commutin…
math.RA2011★ 5 cited
Direct products and the contravariant hom-functor
Simion Breaz
We prove in ZFC that if is a (right) -module such that the groups $\Hom_R(\prod_{i\in I}G_i,G)$ and $\prod_{i\in I}\Hom_R(G_i,G)$ are naturally isomorphic for all families o…