Question

Exercise 3 Suppose that TE Hom( V,V) and consider V as an F1エ]-module where z acts by T. Prove that T is nilpotent if and only if there is an Flr-module isomorphism for some integers n,.,nd 21. What is the sum n +n+..+ nd in terms of V? Throughout, F is a field (implicit in all statements) and V and W are F-vector spaces.

Answer 1

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