Modules $M$ such that $\Ext_R^1(M,-)$ commutes with direct limits

preprint2012arXivOpen access

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 commuting properties of Ext-covariant functors.

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Modules $M$ such that $\Ext_R^1(M,-)$ commutes with direct limits

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Modules MMM such that $\Ext_R^1(M,-)$ commutes with direct limits

Abstract

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Modules $M$ such that $\Ext_R^1(M,-)$ commutes with direct limits