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<!DOCTYPE html> <html lang="en"> <head> <title>TestIdeals : Table of Contents</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="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="a package for calculations of singularities in positive characteristic " href="index.html">TestIdeals</a> :: <a href="toc.html">Table of Contents</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 | previous | forward | backward | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <h1>TestIdeals : Table of Contents</h1> <ul> <li><span><a title="a package for calculations of singularities in positive characteristic " href="index.html">TestIdeals</a> -- a package for calculations of singularities in positive characteristic </span></li> <li><span><a title="compute a digit of the non-terminating expansion of a number in the unit interval in a given base" href="_adic__Digit.html">adicDigit</a> -- compute a digit of the non-terminating expansion of a number in the unit interval in a given base</span></li> <li><span><a title="compute adic expansion" href="_adic__Expansion.html">adicExpansion</a> -- compute adic expansion</span></li> <li><span><a title="truncation of a non-terminating adic expansion" href="_adic__Truncation.html">adicTruncation</a> -- truncation of a non-terminating adic expansion</span></li> <li><span><a title="find the smallest ideal containing a given ideal which is compatible with a given Cartier linear map" href="_ascend__Ideal.html">ascendIdeal</a> -- find the smallest ideal containing a given ideal which is compatible with a given Cartier linear map</span></li> <li><span><a title="find the smallest submodule of free module containing a given submodule which is compatible with a given Cartier linear map" href="_ascend__Module.html">ascendModule</a> -- find the smallest submodule of free module containing a given submodule which is compatible with a given Cartier linear map</span></li> <li><span><a title="an option for ascendIdeal" href="___Ascent__Count.html">AscentCount</a> -- an option for ascendIdeal</span></li> <li><span><a title="an option to assume a ring is Cohen-Macaulay" href="___Assume__C__M.html">AssumeCM</a> -- an option to assume a ring is Cohen-Macaulay</span></li> <li><span><a title="an option to assume a ring is a domain" href="___Assume__Domain.html">AssumeDomain</a> -- an option to assume a ring is a domain</span></li> <li><span><a title="an option to assume a ring is normal" href="___Assume__Normal.html">AssumeNormal</a> -- an option to assume a ring is normal</span></li> <li><span><a title="an option to assume a ring is reduced" href="___Assume__Reduced.html">AssumeReduced</a> -- an option to assume a ring is reduced</span></li> <li><span><a title="an option used to specify whether to only work locally" href="___At__Origin.html">AtOrigin</a> -- an option used to specify whether to only work locally</span></li> <li><span><a title="an option to specify that a certain ideal be used as the canonical ideal" href="___Canonical__Ideal.html">CanonicalIdeal</a> -- an option to specify that a certain ideal be used as the canonical ideal</span></li> <li><span><a title="produce an ideal isomorphic to the canonical module of a ring" href="_canonical__Ideal.html">canonicalIdeal</a> -- produce an ideal isomorphic to the canonical module of a ring</span></li> <li><span><a title="an option for isFInjective" href="___Canonical__Strategy.html">CanonicalStrategy</a> -- an option for isFInjective</span></li> <li><span><a title="find all prime ideals compatible with a Frobenius near-splitting" href="_compatible__Ideals.html">compatibleIdeals</a> -- find all prime ideals compatible with a Frobenius near-splitting</span></li> <li><span><a title="an option to specify that a certain ring is used" href="___Current__Ring.html">CurrentRing</a> -- an option to specify that a certain ring is used</span></li> <li><span><a title="decompose a rational number" href="_decompose__Fraction.html">decomposeFraction</a> -- decompose a rational number</span></li> <li><span><a title="an option to specify how hard to search for something" href="___Depth__Of__Search.html">DepthOfSearch</a> -- an option to specify how hard to search for something</span></li> <li><span><a title="finds the maximal F-pure Cartier submodule of an ideal viewed as a Cartier module" href="_descend__Ideal.html">descendIdeal</a> -- finds the maximal F-pure Cartier submodule of an ideal viewed as a Cartier module</span></li> <li><span><a title="floor of a logarithm" href="_floor__Log.html">floorLog</a> -- floor of a logarithm</span></li> <li><span><a title="compute the submodule of the canonical module stable under the image of the trace of Frobenius" href="___F__Pure__Module.html">FPureModule</a> -- compute the submodule of the canonical module stable under the image of the trace of Frobenius</span></li> <li><span><a title="compute a Frobenius power of an ideal or a matrix" href="_frobenius.html">frobenius</a> -- compute a Frobenius power of an ideal or a matrix</span></li> <li><span><a title="compute a (generalized) Frobenius power of an ideal" href="_frobenius__Power.html">frobeniusPower</a> -- compute a (generalized) Frobenius power of an ideal</span></li> <li><span><a title="an option for frobeniusPower" href="___Frobenius__Power__Strategy.html">FrobeniusPowerStrategy</a> -- an option for frobeniusPower</span></li> <li><span><a title="finds the ideal of elements mapped into a given ideal, under all $p^{-e}$-linear maps" href="_frobenius__Preimage.html">frobeniusPreimage</a> -- finds the ideal of elements mapped into a given ideal, under all $p^{-e}$-linear maps</span></li> <li><span><a title="compute a Frobenius root" href="_frobenius__Root.html">frobeniusRoot</a> -- compute a Frobenius root</span></li> <li><span><a title="an option for various functions" href="___Frobenius__Root__Strategy.html">FrobeniusRootStrategy</a> -- an option for various functions</span></li> <li><span><a title="find an element of a polynomial ring that determines the Frobenius trace on the canonical module of a quotient of that ring" href="_frobenius__Trace__On__Canonical__Module.html">frobeniusTraceOnCanonicalModule</a> -- find an element of a polynomial ring that determines the Frobenius trace on the canonical module of a quotient of that ring</span></li> <li><span><a title="an option to specify that a certain list of elements is used to describe a Cartier action" href="___Generator__List.html">GeneratorList</a> -- an option to specify that a certain list of elements is used to describe a Cartier action</span></li> <li><span><a title="whether a ring is Cohen-Macaulay" href="_is__Cohen__Macaulay.html">isCohenMacaulay</a> -- whether a ring is Cohen-Macaulay</span></li> <li><span><a title="whether a ring is F-injective" href="_is__F__Injective.html">isFInjective</a> -- whether a ring is F-injective</span></li> <li><span><a title="whether a ring is F-pure" href="_is__F__Pure.html">isFPure</a> -- whether a ring is F-pure</span></li> <li><span><a title="whether a ring is F-rational" href="_is__F__Rational.html">isFRational</a> -- whether a ring is F-rational</span></li> <li><span><a title="whether a ring or pair is strongly F-regular" href="_is__F__Regular.html">isFRegular</a> -- whether a ring or pair is strongly F-regular</span></li> <li><span><a title="a valid value for the option CanonicalStrategy" href="___Katzman.html">Katzman</a> -- a valid value for the option CanonicalStrategy</span></li> <li><span><a title="an option to specify the maximum number to consider when computing the Cartier index of a divisor" href="___Max__Cartier__Index.html">MaxCartierIndex</a> -- an option to specify the maximum number to consider when computing the Cartier index of a divisor</span></li> <li><span><a title="a valid value for the option FrobeniusRootStrategy" href="___Monomial__Basis.html">MonomialBasis</a> -- a valid value for the option FrobeniusRootStrategy</span></li> <li><span><a title="multiplicative order of an integer modulo another" href="_multiplicative__Order.html">multiplicativeOrder</a> -- multiplicative order of an integer modulo another</span></li> <li><span><a title="a valid value for the option FrobeniusPowerStrategy" href="___Naive.html">Naive</a> -- a valid value for the option FrobeniusPowerStrategy</span></li> <li><span><a title="an option for decomposeFraction" href="___No__Zero__C.html">NoZeroC</a> -- an option for decomposeFraction</span></li> <li><span><a title="compute the parameter test ideal of a Cohen-Macaulay ring" href="_parameter__Test__Ideal.html">parameterTestIdeal</a> -- compute the parameter test ideal of a Cohen-Macaulay ring</span></li> <li><span><a title="find an element representing the Frobenius trace map of a Q-Gorenstein ring" href="___Q__Gorenstein__Generator.html">QGorensteinGenerator</a> -- find an element representing the Frobenius trace map of a Q-Gorenstein ring</span></li> <li><span><a title="an option to specify the index of the canonical divisor, if known" href="___Q__Gorenstein__Index.html">QGorensteinIndex</a> -- an option to specify the index of the canonical divisor, if known</span></li> <li><span><a title="a valid value for the option FrobeniusPowerStrategy" href="___Safe.html">Safe</a> -- a valid value for the option FrobeniusPowerStrategy</span></li> <li><span><a title="a valid value for the option FrobeniusRootStrategy" href="___Substitution.html">Substitution</a> -- a valid value for the option FrobeniusRootStrategy</span></li> <li><span><a title="find a test element of a ring" href="_test__Element.html">testElement</a> -- find a test element of a ring</span></li> <li><span><a title="compute a test ideal in a Q-Gorenstein ring" href="_test__Ideal.html">testIdeal</a> -- compute a test ideal in a Q-Gorenstein ring</span></li> <li><span><a title="find the parameter test module of a reduced ring" href="_test__Module.html">testModule</a> -- find the parameter test module of a reduced ring</span></li> </ul> </body> </html>
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