Observation / CONCEPT
Power Traces Do Not Determine Similarity
Two explicit matrices have identical positive-power traces and characteristic polynomial but belong to different similarity classes.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES3
PROOF DEPTH0
DOCUMENT LINKS1
All power traces can miss the similarity class
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Bounded Integer CRT Completenessstructural-affinity · Closed
- Characteristic-Polynomial Saturation of Power Tracesstructural-affinity · Closed
- Element Reduction and Coarse Invariantsstructural-affinity · Closed
- Finite CRT Joinstructural-affinity · Closed
- Integer Recovery And Structure Separationstructural-affinity · Closed
- Kernel Towers Recover Nilpotent Block Profilesstructural-affinity · Closed
- Ramified Conjugate Jetstructural-affinity · Closed
- Retained Residue Recovery Criterionstructural-affinity · Closed
Documents & exposition
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