TY - JOUR

T1 - Noncommutative algebras of dimension three over integral schemes

AU - Miranda, Rick

AU - Teicher, Mina

PY - 1985/12

Y1 - 1985/12

N2 - In this article we describe the algebraic data which is equivalent to giving an associative, noncommutative algebra Ox 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.

AB - In this article we describe the algebraic data which is equivalent to giving an associative, noncommutative algebra Ox 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.

UR - http://www.scopus.com/inward/record.url?scp=33746952077&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-1985-0808748-8

DO - 10.1090/S0002-9947-1985-0808748-8

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AN - SCOPUS:33746952077

SN - 0002-9947

VL - 292

SP - 705

EP - 712

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 2

ER -