NONCOMMUTATIVE ALGEBRAS OF DIMENSION THREE OVER INTEGRAL SCHEMES

MIRANDA RICK, M. Teicher

Research output: Contribution to journalArticlepeer-review

Abstract

In this article we describe the algebraic data which is equivalent to giving an associative, noncommutative algebra Ox over an integral fc-scheme Y (where k is an algebraically closed field of characteristic ^ 3), which is locally free of rank 3. The description allows us to conclude that, essentially, all such are locally upper triangular 2x2 matrices, with degenerations of a restricted form allowed.
Original languageAmerican English
Pages (from-to)705-712
JournalTransactions of the American Mathematical Society
Volume292
Issue number2
StatePublished - 1985

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