Differences

This shows you the differences between two versions of the page.

rings [2016/01/26 17:38]
jipsen
rings [2016/01/26 17:38] (current)
jipsen
Line 17: Line 17:
==Morphisms== ==Morphisms==
Let $\mathbf{R}$ and $\mathbf{S}$ be rings. A morphism from $\mathbf{R}$ Let $\mathbf{R}$ and $\mathbf{S}$ be rings. A morphism from $\mathbf{R}$
-to $\mathbf{S}$ is a function $h:R\arrow S$ that is a homomorphism: +to $\mathbf{S}$ is a function $h:R\to S$ that is a homomorphism:
$h(x+y)=h(x)+h(y)$, $h(x\cdot y)=h(x)\cdot h(y)$ $h(x+y)=h(x)+h(y)$, $h(x\cdot y)=h(x)\cdot h(y)$