Adjunction

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Let $F$, $G$ be two functors in opposite directions. e.g., $F:{𝒜}\to {ℬ}$ and $G:{ℬ}\to {𝒜}$.

$F$ is said to be left adjoint of $G$ and $G$ is said to be right adjoint of $F$, and write $F⊣G$ if

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