English
The RingCat object associated to a ring R is precisely R itself, viewed as an object in the category of R-algebras.
Русский
Объект RingCat, соответствующий кольцу R, есть ровно R, рассматриваемое как объект в категории RingCat.
LaTeX
$$$ \mathrm{of}(R) = R. $$$
Lean4
/-- The object in the category of R-algebras associated to a type equipped with the appropriate
typeclasses. This is the preferred way to construct a term of `RingCat`. -/
abbrev of (R : Type u) [Ring R] : RingCat :=
⟨R⟩