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math.RT2023
Quotient categories with exact structure from -rigid subcategories in extriangulated categories
Mindy Y. Huerta, Octavio Mendoza, Corina Sáenz +1
In this work we introduce the notion of higher -extension groups for an extriangulated category and study the quotients $\mathcal{X}_{n+1}^{\vee}/[\mathca…
math.RT2023
Homological Epimorphisms and Hochschild-Mitchell Cohomology
V. Santiago-Vargas, E. O. Velasco-Páez
In this work, we study the Hochschild-Mitchell Cohomology of triangular matrix categories. Given a triangular matrix category $Λ=\left[ \begin{smallmatrix} \mathcal{T} & 0 \\ M & \…