Contextualizebeta

adjunction

noun

Etymology

From Latin adjunctio, from adjungere: compare French adjonction, and see adjunct.

  1. learned borrowing from adjunctio

Definitions

  1. The act of joining

    The act of joining; the thing joined or added.

  2. The joining of personal property owned by one to that owned by another.

  3. The process of adjoining elements to an algebraic structure (usually a ring or field)

    The process of adjoining elements to an algebraic structure (usually a ring or field); the result of such a process.

    • The ring obtained after the adjunction of the elements a,b and y to the ring R may be denoted R#91;a,b,y#93;.
    • The field adjunction #92;mathbb#123;Q#125;(#92;pi) can be obtained from #92;mathbb#123;Q#125; by adjoining #92;pi to #92;mathbb#123;Q#125;.
  4. ›+ 2 more definitions

    1. A relationship between a pair of categories that makes the pair, in a weak sense,…

      A relationship between a pair of categories that makes the pair, in a weak sense, equivalent.

    2. A natural isomorphism between a pair of functors satisfying certain conditions, whose…

      A natural isomorphism between a pair of functors satisfying certain conditions, whose existence implies a close relationship between the functors and between their (co)domains; the natural isomorphism, functors, and their (co)domains thought of as a single object.

The neighborhood

Vish — recursive loop

No curated loop yet for adjunction. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA