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arXiv · 2303.05226

On thick subcategories of the category of projective presentations

Monica Garcia
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Abstract

We study thick subcategories of the category of 2-term complexes of projective modules over an associative algebra. We show that those thick subcategories that have enough injectives are in explicit bijection with 2-term silting complexes and complete cotorsion pairs. We also provide a bijection with left finite wide subcategories of the module category and prove that all these maps are compatible with previously known correspondences. We discuss possible applications to stability conditions.

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Monica Garcia. 2023-03-09. On thick subcategories of the category of projective presentations. https://arxiv.org/abs/2303.05226

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