✦ LIBER ✦

Local PI Theory of Jordan Systems

✍ Scribed by Fernando Montaner

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 181 KB
Volume: 216
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7755

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✦ Synopsis

In this paper we study Jordan systems having nonzero local algebras that satisfy a polynomial identity. We prove that in nondegenerate Jordan systems the set of elements at which the local algebra is PI is an ideal and that if it is nonzero, it coincides with the socle when the system is primitive.

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