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Details for article 5 of 6 found articles
| Title: |
The structure of algebraic jordan algebras without nonzero nilpotent elements |
| Author: |
Loustau, J.A. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 4 (1976) nr. 11 pages 1045-1070 |
| Year: |
1976 |
| Contents: |
An algebraic, linear Jordan algebra without nonzero nil-potent elements is proved to be a subdirect sum of prime Jordan algebras each of which has finite capacity or contains simple subalgebras of arbitrary capacity. If in addition the base field has nonzero character-istic or the algebra satisfies a polynomial identity, then each of the summands is determined to be simple of finite capacity. Further, it is proved that algebraic, PI Jordan algebras without nonzero nilpotent elements are locally finite in the sense that any finitely generated subalgebra has finite capacity. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 6 found articles
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