Suvarna Garge (Editor)

Multiplicative distance

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In algebraic geometry, μ is said to be a multiplicative distance function over a field if it satisfies,

  • μ ( A B ) > 1.
  • AB is congruent to A'B' iff μ ( A B ) = μ ( A ′ B ′ ) .
  • AB < A'B' iff μ ( A B ) < μ ( A ′ B ′ ) .
  • μ ( A B + C D ) = μ ( A B ) μ ( C D ) .

    • References

    Multiplicative distance Wikipedia
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