Ring theory MOC

Category of rings

The category of rings $𝖱 𝗂 𝗇 𝗀$ is a category where an object is a ring and a morphism is a ring homomorphism. #m/def/ring

Morphisms

Limits and colimits

The initial object is $ℤ$ .
The terminal object is the Zero ring.

$𝖱 𝗂 𝗇 𝗀$ is a subcategory of $𝖱 𝗇 𝗀$ , but not a full one.
$𝖥 𝗅 𝖽$ is a full subcategory of $𝖱 𝗂 𝗇 𝗀$ .
Category of commutative rings is a full subcategory of $𝖱 𝗂 𝗇 𝗀$ .

#state/develop | #lang/en | #SemBr