• LINEAR PRESERVER OF IDEMPOTENTS OF TENSOR PRODUCTS ON MATRIX SPACE

Huanhuan Chen, Wenyi Wang, Honghui Che, Yuqiu Sheng*

Abstract


Let  be a field of characteristic not 2,  be the set consisting of all   matrices over and  be the subset of   consisting of all idempotent matrices. We say that a linear map preserves idempotents of tensor products of matrices, if for any  and ,  is an idempotent whenever  is an idempotent. In this paper, we characterize linear maps, where   preserves idempotents of tensor products of matrices.


Keywords


Linear preserver, tensor product, idempotent.

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