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math.AC2016★ 5 cited
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…
math.AC2016★ 3 cited
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…