Flatness and f-projectivity of torsion-free modules and injective modules
MF Jones - Advances in Non-Commutative Ring Theory …, 2006 - Springer
Let Rbe a ring with identity. Chase [5] has characterized the right coherent rings; he has
shown that arbitrary products of RR are flat if and only if finitely generated submodules of
free right R-modules are finitely presented. As compared to considerinq flatness of products
of a projective generator, this paper investigates flatness (and related properties) of products
of an injective cogenerator. This condition turns out to be intimately related to several other
properties of independent interest. One is the condition that torsion-free or injective modules …
shown that arbitrary products of RR are flat if and only if finitely generated submodules of
free right R-modules are finitely presented. As compared to considerinq flatness of products
of a projective generator, this paper investigates flatness (and related properties) of products
of an injective cogenerator. This condition turns out to be intimately related to several other
properties of independent interest. One is the condition that torsion-free or injective modules …
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