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Weak cotorsion, $τ$-tilting and two-term categories

Published 22 Nov 2021 in math.RT and math.RA | (2111.10995v1)

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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