2025/02/21 by Miranda, M. Lizbeth Shaid Sandoval, Vargas, Valente Santiago, Páez, Edgar O. Velasco
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2502.16001
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].