6 papers
On -commutative power and Laurent series rings at roots of unity
Edward S. Letzter, Linhong Wang, Xingting Wang
We continue the first and second authors' study of -commutative power series rings and Laurent series rings ,…
Rings associated to coverings of finite p-groups
Gary Walls, Linhong Wang
In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of fun…
Irreducible representations of the quantum Weyl algebra at roots of unity given by matrices
Blaise Heider, Linhong Wang
To describe the representation theory of the quantum Weyl algebra at an th primitive root of unity, Boyette, Leyk, Plunkett, Sipe, and Talley found all nonsingular irreducib…
Goldie Ranks of Skew Power Series Rings of Automorphic Type
Edward S. Letzter, Linhong Wang
Let A be a semprime, right noetherian ring equipped with an automorphism alpha, and let B := A[[y; alpha]] denote the corresponding skew power series ring (which is also semiprime…
Prime Ideals of q-Commutative Power Series Rings
Edward S. Letzter, Linhong Wang
We study the "q-commutative" power series ring R:=k_q[[x_1,...,x_n]], defined by the relations x_ix_j = q_{ij}x_j x_i, for multiplicatively antisymmetric scalars q_{ij} in a field…
Noetherian Skew Inverse Power Series Rings
Edward S. Letzter, Linhong Wang
We study skew inverse power series extensions R[[y^{-1};tau,delta]], where R is a noetherian ring equipped with an automorphism tau and a tau-derivation delta. We find that these e…