Modules $M$ such that $\Ext_R^1(M,-)$ commutes with direct limits
Rings and Algebras
2012-10-02 v3 Category Theory
Representation Theory
Abstract
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.
Cite
@article{arxiv.1107.0557,
title = {Modules $M$ such that $\Ext_R^1(M,-)$ commutes with direct limits},
author = {Simion Breaz},
journal= {arXiv preprint arXiv:1107.0557},
year = {2012}
}
Comments
Version 3. Minor changes; to appear in Algebras and Representation Theory. Version 2: Major changes: more explanation and connected results are added at several places. Reference list was updated and extended