36 citations · 46 across the 5 of their papers we have counts for
5 papers
Noncommutative cyclic isolated singularities
Kenneth Chan, Alexander Young, James Zhang
The question of whether a noncommutative graded quotient singularity is isolated depends on a subtle invariant of the -action on , called the pertinency. We prove a par…
Discriminants and Automorphism Groups of Veronese subrings of skew polynomial rings
Kenneth Chan, Alexander Young, James Zhang
We study important invariants and properties of the Veronese subalgebras of -skew polynomial rings, including their discriminant, center and automorphism group, as well as cance…
Discriminant Formulas and Applications
Kenneth Chan, Alexander Young, James Zhang
We solve two conjectures of Ceken-Palmieri-Wang-Zhang concerning discriminants and give some applications.
On the Kurosh problem for algebras over a general field
Jason P. Bell, Alexander A. Young
Smoktunowicz, Lenagan, and the second-named author recently gave an example of a nil algebra of Gelfand-Kirillov dimension at most three. Their construction requires a countable ba…
Nil algebras with restricted growth
T H Lenagan, Agata Smoktunowicz, Alexander Young
It is shown that over an arbitrary countable field, there exists a finitely generated algebra that is nil, infinite dimensional, and has Gelfand-Kirillov dimension at most three.