119 citations · 298 across the 33 of their papers we have counts for
4 papers · 1 filter
-graded simple rings
J. Bell, D. Rogalski
The Weyl algebra over a field of characteristic is a simple ring of Gelfand-Kirillov dimension 2, which has a grading by the group of integers. We classify all …
Classifying Orders in the Sklyanin Algebra
D. Rogalski, S. J. Sierra, J. T. Stafford
One of the major open problems in noncommutative algebraic geometry is the classification of noncommutative surfaces, and this paper resolves a significant case of this problem. Sp…
Noncommutative Blowups of Elliptic Algebras
D. Rogalski, S. J. Sierra, J. T. Stafford
We develop a ring-theoretic approach for blowing up many noncommutative projective surfaces. Let T be an elliptic algebra (meaning that, for some central element g of degree 1, T/g…
Skew Calabi-Yau Algebras and Homological Identities
Manuel Reyes, Daniel Rogalski, James J. Zhang
A skew Calabi-Yau algebra is a generalization of a Calabi-Yau algebra which allows for a non-trivial Nakayama automorphism. We prove three homological identities about the Nakayama…