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Adjunction

noun

Noun

1
The act of joining; the thing joined or added. countable, uncountable
2
an act of joining or adjoining things wordnet
3
The joining of personal property owned by one to that owned by another. countable, uncountable
4
The process of adjoining elements to an algebraic structure (usually a ring or field); the result of such a process. countable, uncountable
"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;."
5
A relationship between a pair of categories that makes the pair, in a weak sense, equivalent. broadly, countable, uncountable

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6
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. countable, uncountable
7
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.; A natural isomorphism Φ: operatorname Hom_( mathcal )C(G·,·)→ operatorname Hom_( mathcal )D(·,F·) (where the hom-functors are understood as bifunctors from 𝒟^( operatorname )op×𝒞 to mathbf Set). See Adjoint functors on Wikipedia.Wikipedia. countable, formal, uncountable

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

Unscramble this word: adjunction