Arith / CONCEPT
Square Divisors in a Pure Cubic Order
A prime square in a cubic radicand gives an integral element outside the displayed order.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
An explicit element of the normalization
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A Pure Cubic Suborderstructural-affinity · Closed
- Integral Lattices in a Pure Cubic Fieldstructural-affinity · Closed
- Mixed Pure Cubic Integer Ringstructural-affinity · Closed
- Mixed-Radicand Prime Saturationstructural-affinity · Closed
- Simple-Prime Saturation of a Pure Cubic Orderstructural-affinity · Closed
- Squarefree Pure Cubic Integer Ringstructural-affinity · Closed
- Three-Saturation of a Pure Cubic Orderstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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