Íomhá:First-isomorphism-theorem.svg

Taispeáin leagan ardtaifigh den íomhá(Comhad SVG, ainmniúil 284 × 278 picteilíni, méid comhaid: 32 KB)

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Tuairisc
English: Commutative diagram, showing the first isomorphism theorem.
Dáta 13 Samhain 2008 (original upload date)
Foinse

Created as per: en:meta:Help:Displaying a formula#Commutative diagrams

\documentclass{amsart}
\usepackage[all, ps, dvips]{xy} % Loading the XY-Pic package
                                % Using postscript driver for smoother curves
\usepackage{color}              % For invisible frame
\begin{document}

\newcommand{\im}{\operatorname{im}}
% \newcommand{\stack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}}
\newcommand{\stack}[2]{\underset{#2}{#1}}

\thispagestyle{empty} % No page numbers
\SelectTips{eu}{}     % Euler arrowheads (tips)
\setlength{\fboxsep}{0pt} % Frame box margin
{\color{white}\framebox{{\color{black}$$ % Frame for margin

\xymatrix @=1pt@! { %We want equal spacing, and the entries close together
           &                        & 0 \ar[dr]                   &                                                          & 0\\
           &                        &                             & \stack{G / \ker f}{\cong\;\im f} \ar[ur] \ar[dr]^{\iota} & \\
           &                        & G \ar[rr]^{f} \ar[ur]^{\pi} &                                                          & H\\
           & \ker f \ar[ur]^{\kappa}&                             &                                                          & \\
  0\ar[ur] &                        &                             &                                                          &
}

$$}}} % end math, end frame
\end{document}
Údar Michael K. Edwards
Ceadúnas
(Athúsáid a bhaint as an gcomhad seo)
Is mise Michael K. Edwards, sealbhóir cóipchirt an shaothair seo, agus foilsím é faoi na ceadúnais seo a leanas:
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Ceadúnú

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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taispeánann sé/sí

13 Samhain 2008

media type Béarla

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Dáta/AmMionsamhailToisíÚsáideoirNóta tráchta
faoi láthair02:10, 14 Samhain 2008Mionsamhail do leagan ó 02:10, 14 Samhain 2008284 × 278 (32 KB)Michael K. Edwards{{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
23:45, 13 Samhain 2008Mionsamhail do leagan ó 23:45, 13 Samhain 2008284 × 278 (31 KB)Michael K. Edwards{{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
23:25, 13 Samhain 2008Mionsamhail do leagan ó 23:25, 13 Samhain 2008524 × 438 (32 KB)Michael K. Edwards{{Information |Description={{en|1=Commutative diagram for the first isomorphism theorem.}} |Source=Own work by uploader |Author=Michael K. Edwards |Date=2008-11-13 |Permission= |other_versions= }} <!--{{ImageUpload|full}}-->

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