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On injective Jordan semi-triple maps of matrix algebras
Authors:Gorazd Lešnjak  Nung-Sing Sze
Institution:a FERI, Faculty of Electrical Engineering and Computer Science, University of Maribor, 2000 Maribor, Smetanova 17, Slovenia
b Department of Mathematics, The University of Hong Kong, Hong Kong
Abstract:We show that every injective Jordan semi-triple map on the algebra Mn(F) of all n × n matrices with entries in a field F (i.e. a map Φ:Mn(F)→Mn(F) satisfying
Φ(ABA)=Φ(A)Φ(B)Φ(A)
Keywords:15A30  16S50  16W10
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