Goldie's theorems for Jordan algebras
β Scribed by E. I. Zel'manov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1988
- Tongue
- English
- Weight
- 716 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## dedicated to professor holger petersson on the occasion of his 60th birthday It is shown that Zelmanov's version of Goldie's conditions still characterizes quadratic Jordan algebras having an artinian algebra of quotients which is nondegenerate. At the same time, Jordan versions of the main not
A structure theorem is given for nondegenerate Jordan algebras J satisfying the ascending chain condition on annihilators of a single element and such that J contains no infinite direct sum of inner deals inside the inner ideal generated by each element x g J. As a consequence of this theorem and of