Weak cotorsion, $\tau$-tilting and two-term categories
Representation Theory
2021-11-23 v1 Rings and Algebras
Abstract
Motivated by its links to -tilting theory, we introduce a generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t-structures in corresponding triangulated categories, and to cotorsion pairs in certain extension closed (and hence extriangulated) subcategories, which we call two-term categories.
Cite
@article{arxiv.2111.10995,
title = {Weak cotorsion, $\tau$-tilting and two-term categories},
author = {Aslak Bakke Buan and Yu Zhou},
journal= {arXiv preprint arXiv:2111.10995},
year = {2021}
}
Comments
15 pages. Any comments are welcome