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arXiv · 2111.10995

Weak cotorsion, $\tau$-tilting and two-term categories

Aslak Bakke Buan·Yu Zhou
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Abstract

Motivated by its links to $\tau$-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.

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BibTeXRIS

Aslak Bakke Buan, Yu Zhou. 2021-11-22. Weak cotorsion, $\tau$-tilting and two-term categories. https://arxiv.org/abs/2111.10995

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