Adjunction

Quick meaning: Adjunction is a noun meaning The act of joining; the thing joined or added.

Meaning

The act of joining; the thing joined or added.

More Meanings

1. (law) The joining of personal property owned by one to that owned by another.
2. (category theory, loosely) A relationship between a pair of categories that makes the pair, in a weak sense, equivalent.
3. (mathematics, chiefly algebra and number theory) The process of adjoining elements to an algebraic structure (usually a ring or field); the result of such a process.
4. (category theory, strictly) 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.

Example Sentences

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;.

Word Forms

• adjunctions

Synonyms for adjunction

Depending on context, synonyms include junction.

Related Words

Related dictionary entries include junction, joinder, join, conjoining, annexment, conj.

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