Noncommutative algebras of dimension three over integral schemes
Authors: Rick Miranda and Mina Teicher
Journal: Trans. Amer. Math. Soc. 292 (1985), 705-712
MSC: Primary 16A46; Secondary 16A48
MathSciNet review: 808748
Abstract: In this article we describe the algebraic data which is equivalent to giving an associative, noncommutative algebra over an integral -scheme (where is an algebraically closed field of characteristic ), which is locally free of rank . The description allows us to conclude that, essentially, all such are locally upper triangular matrices, with degenerations of a restricted form allowed.