Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

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
DOI: https://doi.org/10.1090/S0002-9947-1985-0808748-8
MathSciNet review: 808748
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this article we describe the algebraic data which is equivalent to giving an associative, noncommutative algebra ${\mathcal {O}_X}$ over an integral $k$-scheme $Y$ (where $k$ is an algebraically closed field of characteristic $\ne 3$), which is locally free of rank $3$. The description allows us to conclude that, essentially, all such are locally upper triangular $2 \times 2$ matrices, with degenerations of a restricted form allowed.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 16A46, 16A48

Retrieve articles in all journals with MSC: 16A46, 16A48


Additional Information

Article copyright: © Copyright 1985 American Mathematical Society