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Sudhanshu Ranjan posted an Question
August 15, 2020 • 18:10 pm
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30 points
30 points
- CSIR NET
- Mathematical Sciences
What is t - conductor of a vector x into a subspace w?
what is T - conductor of a vector x in V into a subspace W of vector space V(F)?
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Shashi ranjan sinha![best-answer]()
In order to define the set T-conductor of x into V, we just need W to be a non-empty subset of V. But the same terminology is used for a specific polynomial. When W is T invariant subspace of V, then S(x,W) forms an ideal in F[t]. If this ideal is non zero, then it is generated by a unique monic polynomial which is also known as T- conductor of x into W