-adic en · X
Pronunciation
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.
Meanings
- (morpheme) Having a specified adicity.
- (morpheme, of a topology on a module M over a ring R, qualifier:combined with a symbol (here I but also often p, m, or a) representing an ideal of R) Such that the sets x+Iⁿᴹ (where x∈M, n a non-negative integer) form a basis for the topology.
Relateds
monadic · p-adic · hexadic · enneadic · nonadic · octadic · duadic · polyadic · pentadic · niladic · tetradic · variadic · dyadic · heptadic · triadic · decadic · n-adic
Synonyms
-ary (adicity)
Translations (6)
ro -adic (having a number of arguments) · it -adico (having a number of arguments) · de -adisch (having a number of arguments) · fr -adique (having a number of arguments) · fi -adinen (having a number of arguments) · hu -adikus (having a number of arguments)