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Goldie's theorems for Jordan algebras

✍ 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

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πŸ“œ SIMILAR VOLUMES


Goldie Theory for Jordan Algebras
✍ Antonio FernΓ‘ndez LΓ³pez; Eulalia GarcΔ±́a Rus; Fernando Montaner πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 498 KB

## 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

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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