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Multiplicative maps on matrix algebras

Published 3 Mar 2022 in math.RT and math.RA | (2203.01709v1)

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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