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arXiv · 2203.01709

Multiplicative maps on matrix algebras

Xiaomei Yang·Fuhai Zhu
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Abstract

In this paper, we use elementary method to give a classification of the multiplicative maps on matrix algebra $M_{n}(\mF)$ over a field $\mF$ of characteristic $0$. All the multiplicative maps are classified into three classes: the trivial ones, the degenerate ones and the non-degenerate ones.

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Xiaomei Yang, Fuhai Zhu. 2022-03-03. Multiplicative maps on matrix algebras. https://arxiv.org/abs/2203.01709

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