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arXiv · 2502.16001

A recollement of differential graded categories

M. Lizbeth Shaid Sandoval Miranda·Valente Santiago Vargas·Edgar O. Velasco Páez
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Abstract

In this paper, we prove that given a differential graded category C and B a full differential graded subcategory closed under coproducts, there is a canonical recollement of differential graded categories, for which we use enriched categories tools. We continue the study of differential graded triangular matrix categories as initiated in [22]. We show that given a recollement between functor dg-categories we can induce a new recollement between differential graded triangular matrix categories, this is a generalization of a result given by Chen and Zheng in [5, Theorem 4.4].

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BibTeXRIS

M. Lizbeth Shaid Sandoval Miranda, Valente Santiago Vargas, Edgar O. Velasco Páez. 2025-02-21. A recollement of differential graded categories. https://arxiv.org/abs/2502.16001

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