File:Algebra-Unit.svg

DescriptionAlgebra-Unit.svg	Deutsch: Eine Algebra ${\displaystyle A}$ besitzt genau dann ein neutrales Element, wenn es einen Vektorraumhomomorphismus ${\displaystyle \eta _{A}}$ gibt, so dass dieses Diagramm kommutiert. In diesem Fall gilt ${\displaystyle 1_{A}=\eta _{A}(1_{k})}$.
Date	11 August 2006
Source	Own work
Author	Markus Schmaus
Permission (Reusing this file)	Public Domain
Other versions	File:Algebra-Unit.png

Siehe wikipedia:de:Benutzer:Markus Schmaus/Kommutatives Diagramm

%&latex
\documentclass[a4paper]{article}
\usepackage[dvips,matrix,arrow,ps,color,line,curve,frame]{xy}
\usepackage{diagxye}

\thispagestyle{empty}

\begin{document}
$$\bfig
\Vtrianglepair/>`<-`>`>`>/<700,500>[
  k \otimes A`
  A \otimes A`
  A \otimes k`
  A
;
  \eta_A \otimes \mathrm{id}_A`
  \mathrm{id}_A \otimes \eta_A`
  \cong`
  \mu_A`
  \cong
]
\efig$$
\end{document}

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