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

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.

15 pages. Any comments are welcome

References in corpus (1)

• Cotorsion torsion triples and the representation theory of filtered hierarchical clustering