-adic meaning: definition, etymology

-adic

suffix

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.

Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences Morpheme Having a specified adicity.

Algebra, Mathematics, Sciences Morpheme Such that the sets x+Iⁿᴹ (where x∈M, n a non-negative integer) form a basis for the topology.

Combined with a symbol (here I but also often p, m, or a) representing an ideal of R Of a topology on a module M over a ring R

Synonyms: -ary
Related terms: decadic, duadic, dyadic, enneadic, heptadic, hexadic, monadic, n-adic, niladic, nonadic, octadic, p-adic, pentadic, polyadic, tetradic, triadic, variadic