Homotope polynomial identities in prime Jordan systems
fundamental result in associative PI-theory is
Posner-Rowen's theorem. An analogue of this result is known to
hold for Jordan algebras. As for more general Jordan systems,
aweak analogue is also known for homotope-PI systems, using the
extended central closure instead of the ordinary central closure.
In this paper we strengthen that result, showing that the central
closure of a strongly prime homotope-PI Jordan system is simple
of finite capacity. We also prove that a Jordan system satisfying
a homotope-PI, strongly satisfies some homotope-PI
Fernando Montaner < fmontane@posta.unizar.es >