File:Snake lemma nat2.png

Snake_lemma_nat2.png (586 × 91 pixels, file size: 2 KB, MIME type: image/png)

File:Snake lemma nat2.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.

File:Snake lemma nat2.png → File:Snake lemma nat2.svg

For more information, see Help:SVG.

In other languages
Alemannisch  Bahasa Indonesia  Bahasa Melayu  British English  català  čeština  dansk  Deutsch  eesti  English  español  Esperanto  euskara  français  Frysk  galego  hrvatski  Ido  italiano  lietuvių  magyar  Nederlands  norsk bokmål  norsk nynorsk  occitan  Plattdüütsch  polski  português  português do Brasil  română  Scots  sicilianu  slovenčina  slovenščina  suomi  svenska  Tiếng Việt  Türkçe  vèneto  Ελληνικά  беларуская (тарашкевіца)  български  македонски  нохчийн  русский  српски / srpski  татарча/tatarça  українська  ქართული  հայերեն  বাংলা  தமிழ்  മലയാളം  ไทย  한국어  日本語  简体中文  繁體中文  עברית  العربية  فارسی  +/−
New SVG image

Summary

Description

A commutative diagram with exact rows, showing the naturality of the snake lemma. Produced with TeX and XY-Pic, using the source code below. Both the image and the source code are in the public domain.

% Produce a postscript file from this input with tex and dvips.

% Loading the XY-Pic package:
\input xy
\xyoption{all}

% Using postscript driver for smoother curves
\xyoption{ps}
\xyoption{dvips}

% No need for page numbers
\nopagenumbers

\def\coker{\mathop{\rm coker}}

$$
\xymatrix{ %Our diagram is a 2x7 matrix
&{}\ker a_2\ar[r]&{}\ker b_2\ar[r]&{}\ker c_2\ar[r]^{d_2}&{}\coker a_2\ar[r]&{}\coker
b_2\ar[r]&{}\coker c_2\\
{}\ker a_1\ar[r]\ar[ur]&{}\ker b_1\ar[r]\ar[ur]&{}\ker c_1\ar[r]^{d_1}\ar[ur]&{}\coker 
a_1\ar[r]\ar[ur]&{}\coker b_1\ar[r]\ar[ur]&{}\coker c_1\ar[ur]
}
$$

\end

Date
Source http://en.wikipedia.org/wiki/Image:Snake_lemma_nat2.png
Author Axel Boldt
Permission
(Reusing this file)
"Both the image and the source code are in the public domain." and "Since I believe that "intellectual property rights" do not exist (as we mere mortals cannot arrogate the right to own parts of Plato's eternal heaven of ideas), every word I write is by default, and always, in the public domain." [1]

Licensing

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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

29 January 2004

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current17:53, 21 February 2007Thumbnail for version as of 17:53, 21 February 2007586 × 91 (2 KB)Hagman{{Information |Description=(The first move to commons seems to have failed) A commutative diagram with exact rows, showing the naturality of the snake lemma. Produced with TeX and XY-Pic, using th
21:37, 20 February 2007Thumbnail for version as of 21:37, 20 February 2007586 × 91 (2 KB)Hagman{{Information |Description=A commutative diagram with exact rows, showing the naturality of the snake lemma. Produced with TeX and XY-Pic, using the source code below. Both the image and the source
No pages on the English Wikipedia use this file (pages on other projects are not listed).