Semilinear transformation

In linear algebra, particularly projective geometry, a semilinear transformation between vector spaces V and W over a field K is a function that is a linear transformation "up to a twist", hence semi-linear, where "twist" means "field automorphism of K". Explicitly, it is a function $T\colon V \to W$ that is:

单词	Semilinear transformation
释义	Semilinear transformation 英语百科 Semilinear transformation In linear algebra, particularly projective geometry, a semilinear transformation between vector spaces V and W over a field K is a function that is a linear transformation "up to a twist", hence semi-linear, where "twist" means "field automorphism of K". Explicitly, it is a function $T\colon V \to W$ that is:
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