9 citations · 17 across the 3 of their papers we have counts for
3 papers
On the notion of sequentially Cohen-Macaulay modules
Giulio Caviglia, Alessandro De Stefani, Enrico Sbarra +1
In this survey paper we first present the main properties of sequentially Cohen-Macaulay modules. Some basic examples are provided to help the reader with quickly getting acquainte…
Generalizing Serre's Splitting Theorem and Bass's Cancellation Theorem via free-basic elements
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
We give new proofs of two results of Stafford, which generalize two famous Theorems of Serre and Bass regarding projective modules. Our techniques are inspired by the theory of bas…
Globalizing F-invariants
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
In this paper we define and study the global Hilbert-Kunz multiplicity and the global F-signature of prime characteristic rings which are not necessarily local. Our techniques are…