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math.RA2021
The Taylor resolution over a skew polynomial ring
Luigi Ferraro, Desiree Martin, W. Frank Moore
Let be a field and let be a monomial ideal in the polynomial ring . In her thesis, Taylor introduced a complex which provides a finite free res…
math.RA2021
The Eliahou-Kervaire resolution over a skew polynomial ring
Luigi Ferraro, Alexis Hardesty
In a 1987 paper, Eliahou and Kervaire constructed a minimal resolution of a class of monomial ideals in a polynomial ring, called stable ideals. As a consequence of their construct…
math.RA2021
Support varieties over skew complete intersections via derived braided Hochschild cohomology
Luigi Ferraro, W. Frank Moore, Josh Pollitz
In this article we study a theory of support varieties over a skew complete intersection , i.e. a skew polynomial ring modulo an ideal generated by a sequence of regular normal…