6 papers · 1 filter
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…
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…
On the Noether Bound for Noncommutative Rings
Luigi Ferraro, Ellen Kirkman, W. Frank Moore +1
We present two noncommutative algebras over a field of characteristic zero that each posses a family of actions by cyclic groups of order , represented in matrices…
Simple -graded domains of Gelfand-Kirillov dimension two
Luigi Ferraro, Jason Gaddis, Robert Won
Let be an algebraically closed field and a -graded finitely generated simple -algebra which is a domain of Gelfand-Kirillov dimension 2. We show that the cat…
Differential graded algebra over quotients of skew polynomial rings by normal elements
Luigi Ferraro, W. Frank Moore
Differential graded algebra techniques have played a crucial role in the development of homological algebra, especially in the study of homological properties of commutative rings…
Three infinite families of reflection Hopf algebras
Luigi Ferraro, Ellen Kirkman, W. Frank Moore +1
Let be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra , homogeneously, inner-faithfully, preserving the grading on , and so that is an -modu…