3 papers
math.AC2026
Generalized symmetry in the vanishing of Ext
Tatheer Ajani, Paulo Martins, Victor D. Mendoza Rubio +1
Foundational work by Avramov and Buchweitz, as well as by Huneke and Jorgensen, established symmetry results for the vanishing of Ext over local complete intersections and AB-rings…
math.AC2025
On -finite modules, quasi-injective dimension and width of modules
Victor H. Jorge-Pérez, Paulo Martins
Let be a commutative Noetherian local ring. It is well-known that if is a finitely generated -module of finite quasi-injective dimension, then $\operato…
math.AC2024
Ischebeck's formula, grade and quasi-homological dimensions
Victor H. Jorge-Pérez, Paulo Martins, Victor D. Mendoza-Rubio
The quasi-projective dimension and quasi-injective dimension are recently introduced homological invariants that generalize the classical notions of projective dimension and inject…