3 papers
math.AC2025
On Extension modules of finite homological dimension
Rafael Holanda, Victor H. Jorge-Pérez, Victor D. Mendoza-Rubio
We explore the implications of the finiteness of homological dimensions for Ext modules, focusing on projective dimension, injective dimension, and their Gorenstein counterpart. In…
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…