-adic

Etymology
, etc., from (genitive ) +  (English  + ). Compare related and Latinate.

The algebraic sense is by analogy with, since $$\mathbb{Z}_{(p)}$$ equipped with the $$(p)$$-adic topology passes to the ring of under the operation of completion.

Suffix

 * 1)  Having a specified adicity.
 * 2)  Such that the sets $$x+I^nM$$ (where $$x \in M$$, $$n$$ a non-negative integer) form a basis for the topology.

Usage notes
Combined with prefixes derived (usually) from Greek names for numbers to make adjectives meaning "having a certain number of arguments" (said of functions, relations, etc, in mathematics and functions, operators, etc, in computing).

Since there is a unique $$I$$-adic topology for any given $$I$$, one often speaks of the $$I$$-adic topology on $$M$$.

Related terms

 * n-adic
 * n-adic
 * n-adic
 * n-adic
 * n-adic
 * n-adic
 * n-adic
 * n-adic

Translations

 * Finnish: -adinen
 * French: -adique
 * German: -adisch
 * Hungarian: -adikus
 * Italian: -adico
 * Polish:
 * Romanian: -adic