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Maps on upper-triangular matrix algebras preserving k-potences

✍ Scribed by Zhongying Wang; Hong You

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
166 KB
Volume
429
Category
Article
ISSN
0024-3795

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In this article we classify rank-one nonincreasing maps ψ on n-square block triangular matrix algebras with the assumption that ψ(I n ) is of rank n. As applications, we obtain complete classifications of adjugate-commuting maps, and compound-commuting maps on block triangular matrix algebras.