Transferred from en.wikipedia to Commons by Maksim.

Illustration of defining property of projective modules. The file was created by Axel Boldt with the Xy-Pic package for TeX; it is in the public domain. The source code, also in the public domain, was the following:

% 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

$$
\xymatrix{ %Our diagram is a 2x2 matrix with the upper left entry emtpy
 & N\ar@{->>}[d]^f\\
P\ar@{.>}[ur]^{\exists h}\ar[r]^g & M
}
$$

\end

File:Projective-module-P.svg is a vector version of this file. It should be used in place of this PNG file when not inferior. File:Projective module.png → File:Projective-module-P.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 ∙ +/−

 

This work has been released into the public domain by its author, AxelBoldt. This applies worldwide. In some countries this may not be legally possible; if so: AxelBoldt grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

• (del) (cur) 12:58, 11 December 2003 . . en:User:AxelBoldt AxelBoldt ( en:User_talk:AxelBoldt Talk) . . 183x167 (1872 bytes) (Illustration of defining property of projective modues)