Article ID Journal Published Year Pages File Type
5772756 Journal of Pure and Applied Algebra 2017 17 Pages PDF
Abstract
If the enveloping central simple algebra of an Okubo algebra comes with a valuation, then we can compute the residue of that Okubo algebra, at least as a vector subspace of the central simple algebra. We give a criterion for the residue of an Okubo algebra without nonzero idempotents to be an Okubo algebra. We also prove that Okubo algebras without nonzero idempotents over a field of characteristic 3 are always the residue of an Okubo algebra over a field of characteristic 0.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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