Luigi Ferraro

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20152021

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math.AC2018

A bimodule structure for the bounded cohomology of commutative local rings

Luigi Ferraro

Stable cohomology is a generalization of Tate cohomology to associative rings, first defined by Pierre Vogel. For a commutative local ring $R$ with residue field $k$ , stable cohomo…

math.AC2015

Regularity of Tor for weakly stable ideals

Katie Ansaldi, Nicholas Clarke, Luigi Ferraro

It is proved that if $I$ and $J$ are weakly stable ideals in a polynomial ring $R = k [x_{1}, \dots, x_{n}]$ , with $k$ a field, then the regularity of $Tor_{i}^{R} (R / I, R / J)$ has the exp…