Factorization / CONCEPT
The Integral Third-Cyclotomic Model of Eisenstein Integers
The Eisenstein quadratic order and the integral third cyclotomic ring are equivalent as integer algebras.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH1
DOCUMENT LINKS1
The two integral algebras are equivalent
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Complete Earlier Support and the Cubic Unittruth-dependency · Closed
- Cubic Jacobi Sums and Primary Generatorstruth-dependency · Closed
- Ideal Factorization of Odd Eisenstein Factorstruth-dependency · Closed
- The Eisenstein Reduction for All Integer Powerstruth-dependency · Closed
- The prime-norm cubic fieldtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Complete Earlier Support and the Cubic Unitstructural-affinity · Closed
- Cubic Characters on Factored Eisenstein Idealsstructural-affinity · Closed
- Cubic Gauss Sums, Frobenius, and Primary Reciprocitystructural-affinity · Closed
- Cubic Jacobi Sums and Primary Generatorsstructural-affinity · Closed
- Ideal Factorization of Odd Eisenstein Factorsstructural-affinity · Closed
- Inert Eisenstein Quotients and Frobeniusstructural-affinity · Closed
- Primary Associates in the Eisenstein Orderstructural-affinity · Closed
- Scalar Quotients of Oriented Eisenstein Factorsstructural-affinity · Closed
- The Discriminant Minus-Three Splitting Criterionstructural-affinity · Closed
- The Eisenstein Reduction for All Integer Powersstructural-affinity · Closed
- The prime-norm cubic fieldstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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