The act of joining; the thing joined or added.
adjunction in U.S. law
• The joining of personal property owned by one to that owned by another.
• The process of adjoining elements to an algebraic structure (usually a ring or field); the result of such a process.
• A relationship between a pair of categories that makes the pair, in a weak sense, equivalent.
• 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. (formally, given two categories C {\displaystyle {\mathcal {C}}} and D {\displaystyle {\mathcal {D}}} and (covariant) functors F : C → D {\displaystyle F:{\mathcal {C}}\rightarrow {\mathcal {D}}} and G : D → C {\displaystyle G:{\mathcal {D}}\rightarrow {\mathcal {C}}} ) A natural isomorphism Φ : Hom C ( G ⋅ , ⋅ ) → Hom D ( ⋅ , F ⋅ ) {\displaystyle \Phi :\operatorname {Hom} _{\mathcal {C}}(G\cdot ,\cdot )\to \operatorname {Hom} _{\mathcal {D}}(\cdot ,F\cdot )} (where the hom-functors are understood as bifunctors from D op × C {\displaystyle {\mathcal {D}}^{\operatorname {op} }\times {\mathcal {C}}} to S e t {\displaystyle \mathbf {Set} } ). See Adjoint functors on Wikipedia.Wikipedia .
• (formally, given two categories C {\displaystyle {\mathcal {C}}} and D {\displaystyle {\mathcal {D}}} and (covariant) functors F : C → D {\displaystyle F:{\mathcal {C}}\rightarrow {\mathcal {D}}} and G : D → C {\displaystyle G:{\mathcal {D}}\rightarrow {\mathcal {C}}} ) A natural isomorphism Φ : Hom C ( G ⋅ , ⋅ ) → Hom D ( ⋅ , F ⋅ ) {\displaystyle \Phi :\operatorname {Hom} _{\mathcal {C}}(G\cdot ,\cdot )\to \operatorname {Hom} _{\mathcal {D}}(\cdot ,F\cdot )} (where the hom-functors are understood as bifunctors from D op × C {\displaystyle {\mathcal {D}}^{\operatorname {op} }\times {\mathcal {C}}} to S e t {\displaystyle \mathbf {Set} } ). See Adjoint functors on Wikipedia.Wikipedia .
The practical impact of adjunction
adjunction appears in U.S. legal practice across multiple practice areas. Knowing what it means — and when it applies — can determine the outcome of motions, filings, and negotiations. For non-lawyers, the value of looking up a precise definition is that legal terms often carry meanings that differ from everyday usage; relying on the common meaning can lead to costly missteps.
adjunction — procedural details
In practice, adjunction is invoked when parties, judges, or attorneys need to identify the legal status of an issue, the rights of those involved, or the procedural step required next. The definition shown above is sourced from Wiktionary , which is widely cited in U.S. legal practice. Because U.S. law is jurisdictionally layered — federal, state, and sometimes local — the precise application of the term can vary by court, so check the controlling authority for your specific case.