Noncommutative algebras of dimension three over integral schemes

Rick Miranda; Mina Teicher

doi:10.1090/s0002-9947-1985-0808748-8

Noncommutative algebras of dimension three over integral schemes

Rick Miranda
, Mina Teicher

Department of Mathematics

Tufts University
Colorado State University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article we describe the algebraic data which is equivalent to giving an associative, noncommutative algebra O_x over an integral k-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 language	English
Pages (from-to)	705-712
Number of pages	8
Journal	Transactions of the American Mathematical Society
Volume	292
Issue number	2
DOIs	https://doi.org/10.1090/s0002-9947-1985-0808748-8
State	Published - Dec 1985

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Noncommutative algebras of dimension three over integral schemes

Abstract

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