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Local and Subquotient Inheritance of Simplicity in Jordan Systems

✍ Scribed by José A Anquela; Teresa Cortés

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
169 KB
Volume
240
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we prove that the local algebras of a simple Jordan pair are simple. Jordan pairs all of which local algebras are simple are also studied, showing that they have a nonzero simple heart, which is described in terms of powers of the original pair. Similar results are given for Jordan triple systems and algebras. Finally, we characterize the inner ideals of a simple pair which determine simple Ž subquotients, answering the question posed by O. Loos and E. Neher 1994, J.

. Algebra 166, 255᎐295 .

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