-adic
suffix
Meaning
- Such that the sets x+Iⁿᴹ (where x∈M, n a non-negative integer) form a basis for the topology.
- Having a specified adicity.
Etymology / origin
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.
Sources
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