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Results tagged with fields
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user 81389
Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].
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Degree of prime power of an element [closed]
Let $p$ and $q$ be two distinct primes. For a field $F$, assume that $\deg(\alpha, F)=p$.
Is it necessarily true that $\deg(\alpha^q, F)=p$? Is there any counterexample?
It is not an exercise problem …
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