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math.AC2026
Complete intersection and quasi-homological dimensions
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
We prove that, over a commutative Noetherian ring, every finitely generated module of finite complete intersection dimension has finite quasi-projective dimension. Our proof adapts…
math.AC2025
Quasi-homological dimensions with respect to semidualizing modules
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension of a module over commutative Noetherian rings, a homological invariant extending the classic proj…
math.AC2025
A DG -structure on the Generalized Taylor Resolution
Luigi Ferraro, Raul Alvarez
Free resolutions of ideals in commutative rings provide valuable insights into the complexity of these ideals. In 1966, Taylor constructed a free resolution for monomial ideals in…