adic

See also: -adic

English

Adjective

adic (not comparable)

1. (mathematics) Relating to adicity
   • 2015, Thierry Giordano, David Handelman, Radu B. Munteanu, “Nonsingular transformations and dimension spaces”, in arXiv‎^[1]:

     For any adic transformation $T$ defined on the path space $X$ of an ordered Bratteli diagram, endowed with a Markov measure $\mu$, we construct an explicit dimension space (which corresponds to a matrix values random walk on $\mathbb {Z}$) whose Poisson boundary can be identified as a $\mathbb {Z}$-space with the dynamical system $(X,\mu ,T)$.

2. (algebra, of topological ring) Carrying the $I$-adic topology for some ideal $I$ of the ring.

Usage notes

Some authors use the term pre-adic for the ring-theoretic sense given above, reserving the term adic for rings which are also complete with respect to this topology.

Anagrams

• ACID, Daic, acid, cadi, caid

Catalan

Pronunciation

• IPA^(key): (Central, Balearic) [əˈðik]
• IPA^(key): (Valencia) [aˈðik]

Verb

adic

1. only used in m'adic, first-person singular present indicative of adir-se