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Ilja Gogic

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Preprint Sep 2026

Idempotent words in finite-dimensional simple Jordan algebras

We study finite left-nested Jordan products of idempotents in finite-dimensional simple Jordan algebras over a field $\mathbb{F}$ of characteristic different from $2$. Over an algebraically closed field, the structure theorem reduces the problem to the scalar algebra, spin factors, the full matrix Jordan algebras $M_n(...

Ilja Gogic, Mateo Tomašević · 0 citations

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