[[Ring theory MOC]]
# Category of rings

The **category of rings** $\cat{Ring}$ is a [[category]] where
an object is a [[ring]]
and a morphism is a [[ring homomorphism]]. #m/def/ring 
It is a [[subcategory]] of [[Category of rngs]].

## Morphisms

- [[Ring monomorphism]]
- [[Ring epimorphism]]

## Limits and colimits

- The [[Initial and terminal objects|initial object]] is [[Integers]].
- The [[Initial and terminal objects|terminal object]] is the [[Zero ring]].

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