Simplicial commutative ring

It has been suggested that this article be merged into Simplicial group. (Discuss) Proposed since July 2024.

In algebra, a simplicial commutative ring is a commutative monoid in the category of simplicial abelian groups, or, equivalently, a simplicial object in the category of commutative rings. If A is a simplicial commutative ring, then it can be shown that ${\displaystyle \pi _{0}A}$ is a ring and ${\displaystyle \pi _{i}A}$ are modules over that ring (in fact, ${\displaystyle \pi _{*}A}$ is a graded ring over ${\displaystyle \pi _{0}A}$.)

A topology-counterpart of this notion is a commutative ring spectrum.