2 papers
math.AC2024
Homological dimensions, the Gorenstein property, and special cases of some conjectures
Souvik Dey, Rafael Holanda, Cleto B. Miranda-Neto
Our purpose in this work is multifold. First, we provide general criteria for the finiteness of the projective and injective dimensions of a finite module over a (commutative)…
math.AC2022
Multigraded Tor and local cohomology
Marc Chardin, Rafael Holanda
Notions of Castelnuovo-Mumford regularity and of invariant were extended from standard graded algebras to the toric setting. We here focus our attention on the standard multi…