One Hat Cyber Team
Your IP :
216.73.216.135
Server IP :
194.44.31.54
Server :
Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64
Server Software :
Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k
PHP Version :
5.6.40
Buat File
|
Buat Folder
Eksekusi
Dir :
~
/
usr
/
share
/
doc
/
Macaulay2
/
Macaulay2Doc
/
html
/
View File Name :
___Ext.html
<!DOCTYPE html> <html lang="en"> <head> <title>Ext -- compute an Ext module</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="index.html">Documentation </a> <br><a href="_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="Macaulay2 documentation" href="index.html">Macaulay2Doc</a> » <a href="_homological_spalgebra.html">homological algebra</a> » <a title="compute an Ext module" href="___Ext.html">Ext</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | <a href="___Tor.html">previous</a> | <a href="___Ext_lp__Module_cm__Module_rp.html">forward</a> | <a href="___Tor_us__Z__Z_lp__Module_cm__Module_rp.html">backward</a> | <a href="_homological_spalgebra.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>Ext -- compute an Ext module</h1> <div> <!--empty documentation body--> </div> <div> <h2>See also</h2> <ul> <li><span><a title="module of homomorphisms" href="___Hom.html">Hom</a> -- module of homomorphisms</span></li> <li><span><a title="tensor product" href="_tensor.html">tensor</a> -- tensor product</span></li> <li><span><a title="Tor module" href="___Tor.html">Tor</a> -- Tor module</span></li> </ul> </div> <div> <h3>Menu</h3> <ul> <li><span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></li> <li><span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></li> <li><span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Module_cm__Matrix_rp.html">Ext^ZZ(Module,Matrix)</a> -- map between Ext modules</span></li> <li><span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Matrix_cm__Module_rp.html">Ext^ZZ(Matrix,Module)</a> -- map between Ext modules</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">Ext</span>:</h2> <ul> <li><span><kbd>Ext(Ideal,Ideal)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><kbd>Ext(Ideal,Module)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><kbd>Ext(Ideal,Ring)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><kbd>Ext(Module,Ideal)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></li> <li><span><kbd>Ext(Module,Ring)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><kbd>Ext(Ring,Ideal)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><kbd>Ext(Ring,Module)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><kbd>Ext(Ring,Ring)</kbd> -- see <span><a title="total Ext module" href="___Ext_lp__Module_cm__Module_rp.html">Ext(Module,Module)</a> -- total Ext module</span></span></li> <li><span><kbd>Ext^ZZ(Matrix,Ideal)</kbd> -- see <span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Matrix_cm__Module_rp.html">Ext^ZZ(Matrix,Module)</a> -- map between Ext modules</span></span></li> <li><span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Matrix_cm__Module_rp.html">Ext^ZZ(Matrix,Module)</a> -- map between Ext modules</span></li> <li><span><kbd>Ext^ZZ(Matrix,Ring)</kbd> -- see <span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Matrix_cm__Module_rp.html">Ext^ZZ(Matrix,Module)</a> -- map between Ext modules</span></span></li> <li><span><kbd>Ext^ZZ(Ideal,Matrix)</kbd> -- see <span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Module_cm__Matrix_rp.html">Ext^ZZ(Module,Matrix)</a> -- map between Ext modules</span></span></li> <li><span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Module_cm__Matrix_rp.html">Ext^ZZ(Module,Matrix)</a> -- map between Ext modules</span></li> <li><span><kbd>Ext^ZZ(Ring,Matrix)</kbd> -- see <span><a title="map between Ext modules" href="___Ext%5E__Z__Z_lp__Module_cm__Matrix_rp.html">Ext^ZZ(Module,Matrix)</a> -- map between Ext modules</span></span></li> <li><span><kbd>Ext^ZZ(Ideal,Ideal)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> <li><span><kbd>Ext^ZZ(Ideal,Module)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> <li><span><kbd>Ext^ZZ(Ideal,Ring)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> <li><span><kbd>Ext^ZZ(Module,Ideal)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> <li><span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></li> <li><span><kbd>Ext^ZZ(Module,Ring)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> <li><span><kbd>Ext^ZZ(Ring,Ideal)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> <li><span><kbd>Ext^ZZ(Ring,Module)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> <li><span><kbd>Ext^ZZ(Ring,Ring)</kbd> -- see <span><a title="Ext module" href="___Ext%5E__Z__Z_lp__Module_cm__Module_rp.html">Ext^ZZ(Module,Module)</a> -- Ext module</span></span></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="compute an Ext module" href="___Ext.html">Ext</a> is <span>a <a title="the class of all scripted functors" href="___Scripted__Functor.html">scripted functor</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Macaulay2Doc/functions/Ext-doc.m2:12:0</span>.</p> </div> </div> </div> </body> </html>