Pumplün, Susanne (1998) Composition algebras over rings of fractions revisited. JOURNAL OF ALGEBRA, 201 (1). pp. 151-166. ISSN 0021-8693, 1090-266X
Full text not available from this repository.Abstract
Let k be a field of characteristic not two, let f(h)(x(0),x(1)) is an element of k[x(0),x(1)] be an irreducible homogeneous polynomial and denote the ring of elements of degree zero in the homogeneous localization k[x(0), x(1)](fh) by k[x(0), x(1)]((fh)). For deg f(h) = 3 it is proved that the composition algebras over k[x(0), x(1)]((fh)) not containing zero divisors are defined over k and that there is at most one (split) composition algebra not defined over k. For deg f(h) = 4 all composition algebras over k[x(0), x(1)]((fh)) are enumerated and partly classified. (C) 1998 Academic Press.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Feb 2023 07:40 |
| Last Modified: | 28 Feb 2023 07:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50051 |
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