A variant of Rosset's approach to the Amitsur-Levitzki theorem and some $\mathbb{Z}_{2}$ -graded identities of $\mathrm{M}_{n}(E)$

Szilvia Homolya, JEN SZIGETI

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Source: Crossref

Published: Jan 1, 2022

DOI: 10.55730/1300-0098.3237

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Source abstract

In the spirit of Rosset's proof of the Amitsur-Levitzki theorem, we show how the standard identiy (for matrices over a commutative base ring) and the addition of external Grassmann variables can be used to derive a certain $\mathbb{Z}_{2}$ -graded polynomial identity of $\mathrm{M}_{n}(E)$ .

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