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Since has finite dimension,.
Then is a finite dimension space.
(Finite dimension) Open image in new window.
KerL has a finite dimension, and.
When the space has finite dimension n, the linear transformations are representable as n × n matrices.
Assume that is a space of finite dimension.
Similar properties hold in the case of arbitrary finite dimension.
The Nichols algebra ({mathcal {B}}_{mathfrak {q}}) has finite dimension.
For any field F, up to isomorphism there is exactly one vector space over F of any given finite dimension.
The structure is described as a finite dimension dynamical system.
Our next goal is to prove that this kernel is of finite dimension.
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