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Results tagged with fields
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user 4213
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].
31
votes
Accepted
Is every field the field of fractions of an integral domain?
But no algebraic extension of $\mathbb F_p$ is, since its only subrings are fields. …
- 20.8k
20
votes
Accepted
Is completeness of a field an algebraic property?
This is not complete under the $p$-adic metric, but it is isomorphic as
a field to the complex numbers $\mathbb{C}$ which is complete under the
standard metric (as both fields are algebraically closed …
- 20.8k
10
votes
Fields with trivial automorphism group
Indeed
this is the case for all number fields (finite extensions of $\mathbb{Q}$). …
- 20.8k