Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras |
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| Authors: | QI JING JI GUO-XING |
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| Institution: | College of Mathematics and Information Science;Shaanxi Normal University;Xian;710062 |
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| Abstract: | . Let Tn be the algebra of all n × n complex upper triangular matrices. We give the concrete forms of linear injective maps on Tn which preserve the nonzero idempotency of either products of two matrices or triple Jordan products of two matrices. |
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| Keywords: | linear map matrix idempotent product of two matrices triple Jordan product of two matrices |
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