Remarks on cotorsion theories
Category Theory
2024-12-03 v4 K-Theory and Homology
Abstract
We present some results from classical homological algebra using the language of cotorsion theories in abelian categories. The results are a couple of foundational facts about homological dimension, the Kunneth formula and the universal coefficients formula. We also present some ''totally acyclic'' cotorsion theories and revisit some results from the literature concerning resolutions of chain complexes in abelian categories.
Cite
@article{arxiv.2307.11208,
title = {Remarks on cotorsion theories},
author = {Alexandru Stanculescu},
journal= {arXiv preprint arXiv:2307.11208},
year = {2024}
}
Comments
Some sections have been reworked, added more examples