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Results tagged with fields
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user 43054
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].
20
votes
Accepted
Tensor product of fields over integers
I think we can classify all fields $K$ such that $K\otimes K$ is a field. … Moreover all maps of fields are injections, so the map is a bijection. But a bijective map of rings is an isomorphism. …
- 16.5k
13
votes
Accepted
What is the topology on the set of field orders
The topology you are looking for is called the Harrison topology. If we denote the set of ordering of a field $F$ with $\mathrm{Sper}\,F$ (more on that in a moment), this is the subspace topology give …
- 16.5k