29 citations · 132 across the 27 of their papers we have counts for
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math.RA2013★ 4 cited
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…
math.RA2013★ 12 cited
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…
math.RA2013
The universal enveloping algebra of the Witt algebra is not noetherian
Susan J. Sierra, Chelsea Walton
This work is prompted by the long standing question of whether it is possible for the universal enveloping algebra of an infinite dimensional Lie algebra to be noetherian. To addre…