Multiplicative maps on matrix algebras

2022/03/03 by Yang, Xiaomei, Zhu, Fuhai
#15A33 #15A60 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2203.01709

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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