Covariant functors commuting with direct limits
Abstract
In this work we state conditions on a covariant right exact functor so that it commutes with direct limits. These conditions are related to the commutativity of the functor under direct limits of projective modules. We prove that if the functor commutes with direct limits of projective modules, then the functor commutes with direct limits.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2006.03938
- arXiv:
- arXiv:2006.03938
- Bibcode:
- 2020arXiv200603938G
- Keywords:
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- Mathematics - Category Theory;
- Mathematics - Representation Theory;
- Primary:18Axx Secondary: 18A30