# 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: |

$h(x+y)=h(x)+h(y)$, $h(x\cdot y)=h(x)\cdot h(y)$ | $h(x+y)=h(x)+h(y)$, $h(x\cdot y)=h(x)\cdot h(y)$ |

Trace: