Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras

Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras

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摘要 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. 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.

作者 QI JING Ji GUO-XING

机构地区 College of Mathematics and Information Science

出处《Communications in Mathematical Research》 CSCD 2009年第3期253-264,共12页 数学研究通讯（英文版）

基金 The NSF (10571114) of China the Natural Science Basic Research Plan (2005A1) of Shaanxi Province of China

关键词 linear map MATRIX IDEMPOTENT product of two matrices triple Jordan product of two matrices linear map, matrix, idempotent, product of two matrices, triple Jordan product of two matrices

分类号 O151.21 [理学—基础数学] TQ464.7 [化学工程—制药化工]

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Communications in Mathematical Research

2009年第3期

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Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras

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