nLab
CommAlg

Definition

$CommAlg$ or $CAlg$denotes a category of commutative associative algebras.

Usually this is understood implicitly as algebras over some ground field $k$. In this case

$$CommAlg \simeq k/CRing$$

is the slice category of CRing – the category of commutative rings – under $k$.

Properties

• Via measure coalgebras $CommAlg$ is naturally enriched over the category Coalg? of cocommutative coalgebras.

category: category