Linear maps preserving idempotents of tensor products of matrices
Zheng, Baodong ; Xu, Jinli ; Fošner, Ajda
Naj bo ▫$\mathbb{F}$▫ obseg s karakteristiko različno od 2 in ▫$\mathcal{M}_n$▫ algebra vseh ▫$n \times n$▫ matrik nad ▫$\mathbb{F}$▫. Namen članka je karakterizirati take linearne preslikave ▫$\phi ...: \mathcal{M}_{m_1 \dots m_l} \to \mathcal{M}_{m_1 \dots m_l}$▫, da je ▫$\phi(A_1 \otimes \cdots \otimes A_l)$▫ idempotent, če je le ▫$A_1 \otimes \cdots \otimes A_l$▫ idempotent.
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