Factorization / CONCEPT
Ideal Identity, Principality, and Generator Coordinates
Prime valuations identify an ideal, the class group detects principality, and a unit coordinate relative to a nonzero generator identifies the exact generator.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS1
All prime-ideal valuations recover the fractional ideal
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A Local-to-Global Principal-Ideal Gapstructural-affinity · Closed
- A Norm-Two Ideal in the Minus-Five Quadratic Orderstructural-affinity · Closed
- Degree Zero Does Not Reconstruct Global Datastructural-affinity · Closed
- Dirichlet Unit Completionstructural-affinity · Closed
- Factorized Transcript Kernel Barrierstructural-affinity · Closed
- Finite-Valuation Portrait Object Layerstructural-affinity · Closed
- Fractional-Ideal Prime-Valuation Faithfulnessstructural-affinity · Closed
- Ideal Recovery Does Not Imply Principalitystructural-affinity · Closed
- Local Principality Is Blind to the Global Ideal Classstructural-affinity · Closed
- Principal Classes and Faithful Prime Countsstructural-affinity · Closed
- Rational Recovery from Finite Valuationsstructural-affinity · Closed
- Three Completion Tasksstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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