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 -