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Construction junctions are diamonds. They show where multiple structures must coexist on the same carrier and satisfy compatibility conditions.
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A polynomial equation is solvable by radicals when its roots can be obtained from coefficients using field operations and iterated extraction of roots.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
j_radical_solvability__out
Relation type
Combine compatible structures combine-compatible
Direction
source → target
Endpoint roles
source: Builds toward; target: Built from
Authored annotation
apply the Galois criterion
Authored explanation
Under the standard separability qualifications (in particular over characteristic zero), a polynomial is solvable by radicals exactly when its Galois group is solvable.
How to interpret this relation type
Feed several structures into a construction junction and impose compatibility between them.