Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras
Year: 2009
Author: Jing Qi, Guoxing JI
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 253–264
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19332
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 253–264
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: linear map matrix idempotent product of two matrices triple Jordan product of two matrices.
Author Details
Jing Qi Email
Guoxing JI Email