-adic

English dictionary entry

Meanings

suffix
  1. Having a specified adicity.
  2. Such that the sets x+Iⁿᴹ (where x∈M, n a non-negative integer) form a basis for the topology.

Pronunciation

LL-Q1860 (eng)-Flame, not lame--adic.wav LL-Q1860 (eng)-Flame, not lame--adic.wav

Word forms

-adic

Etymology

Back-formation from monadic, etc., from Ancient Greek -άς (-ás) (genitive -άδος (-ádos)) + -ικός (-ikós) (English -ad + -ic). Compare related adicity and Latinate -ary. The algebraic sense is by analogy with p-adic, since ℤ₍ₚ₎ equipped with the (p)-adic topology passes to the ring of p-adic numbers under the operation of completion.

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