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arXiv · 2008.02635

On von Neumann regularity of algebras of quotients of Jordan algebras

Fernando Montaner
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Abstract

We address a Jordan version of Johnson theorem on (associative) algebras of quotients, namely whether a strongly nonsingular (the Jordan version of nonsingularity) has a von Neumann regular algebra of quotients. Although the answer is negative in general, we prove that the result holds in the important case of algebras satisfying a polynomial identity.

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Fernando Montaner. 2020-08-05. On von Neumann regularity of algebras of quotients of Jordan algebras. https://arxiv.org/abs/2008.02635

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