3 papers
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…
math.RA2024
The Herzog-Takayama resolution over a skew polynomial ring
Luigi Ferraro, Linoy Utkina
Let be a field, and let be a monomial ideal in the polynomial ring . In her thesis, Taylor introduced a complex that provides a finite free res…