Last Updated：2025/11/28
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Proving that every nonzero Eisenstein integer has a unique factorization up to units and order is a fundamental result in algebraic number theory.
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Proving that every nonzero Eisenstein integer has a unique factorization up to units and order is a fundamental result in algebraic number theory.
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Eisenstein integer
Noun
Japanese Meaning
aとbが整数で、a+bωの形をとる複素数。ここでωはω³=1かつ1+ω+ω²=0を満たす複素数で、この形の数はユークリッド整域ℤ[ω]の元である。
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