<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head> <title>GAP (NumericalSgps) - Index</title> <meta http-equiv="content-type" content="text/html; charset=UTF-8" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> </head> <body> <div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chap5.html">5</a> <a href="chap6.html">6</a> <a href="chap7.html">7</a> <a href="chap8.html">8</a> <a href="chap9.html">9</a> <a href="chapA.html">A</a> <a href="chapB.html">B</a> <a href="chapC.html">C</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div> <div class="chlinkprevnexttop"> <a href="chap0.html">Top of Book</a> <a href="chapBib.html">Previous Chapter</a> </div> <p><a id="X83A0356F839C696F" name="X83A0356F839C696F"></a></p> <div class="index"> <h3>Index</h3> <code class="func">AddSpecialGapOfNumericalSemigroup</code> <a href="chap5.html#X865EA8377D632F53">5.1-2</a><br /> <code class="func">AmbientNumericalSemigroupOfIdeal</code> <a href="chap7.html#X81E445518529C175">7.1-5</a><br /> <code class="func">AnIrreducibleNumericalSemigroupWithFrobeniusNumber</code> <a href="chap6.html#X7C8AB03F7E0B71F0">6.1-4</a><br /> <code class="func">AperyListOfNumericalSemigroupAsGraph</code> <a href="chap3.html#X8022CC477E9BF678">3.1-7</a><br /> <code class="func">AperyListOfNumericalSemigroupWRTElement</code> <a href="chap3.html#X86C699F2800F9ED0">3.1-5</a><br /> <code class="func">ArfNumericalSemigroupClosure</code> <a href="chap8.html#X7FE10E2F85CB01A2">8.2-2</a><br /> <code class="func">BelongsToIdealOfNumericalSemigroup</code> <a href="chap7.html#X87508E7A7CFB0B20">7.1-7</a><br /> <code class="func">BelongsToNumericalSemigroup</code> <a href="chap2.html#X864C2D8E80DD6D16">2.2-6</a><br /> <code class="func">BezoutSequence</code> <a href="chapA.html#X86859C84858ECAF1">A.1-1</a><br /> <code class="func">BlowUpIdealOfNumericalSemigroup</code> <a href="chap7.html#X7C00A86F83024003">7.1-14</a><br /> <code class="func">BlowUpOfNumericalSemigroup</code> <a href="chap7.html#X84B5121C7EEECB30">7.1-17</a><br /> <code class="func">CanonicalIdealOfNumericalSemigroup</code> <a href="chap7.html#X835890A078F5D6DC">7.1-20</a><br /> <code class="func">CatenaryDegreeOfElementNS</code> <a href="chap9.html#X787334508257C510">9.1-8</a><br /> <code class="func">CatenaryDegreeOfNumericalSemigroup</code> <a href="chap9.html#X7FAF204E85D9C21B">9.1-7</a><br /> <code class="func">CeilingOfRational</code> <a href="chapA.html#X7C9DCBAF825CF7B2">A.1-3</a><br /> <code class="func">DecomposeIntoIrreducibles</code> <a href="chap6.html#X8227EF2B7F67E2FB">6.1-6</a><br /> <code class="func">DeltaSetOfFactorizationsElementWRTNumericalSemigroup</code> <a href="chap9.html#X8384DBFE7D82A634">9.1-5</a><br /> <code class="func">DifferenceOfIdealsOfNumericalSemigroup</code> <a href="chap7.html#X7C2DAB737ECE7D34">7.1-11</a><br /> <code class="func">DrawAperyListOfNumericalSemigroup</code> <a href="chap3.html#X85C89A6B81A07061">3.1-6</a><br /> <code class="func">ElasticityOfFactorizationsElementWRTNumericalSemigroup</code> <a href="chap9.html#X85C2987C7827D18D">9.1-3</a><br /> <code class="func">ElasticityOfNumericalSemigroup</code> <a href="chap9.html#X7FE2D6F77BE96716">9.1-4</a><br /> <code class="func">FactorizationsElementWRTNumericalSemigroup</code> <a href="chap9.html#X78C6D3BF7C7C2760">9.1-1</a><br /> <code class="func">FirstElementsOfNumericalSemigroup</code> <a href="chap3.html#X7F0EDFA77F929120">3.1-4</a><br /> <code class="func">FortenTruncatedNCForNumericalSemigroups</code> <a href="chap4.html#X8028208F84950722">4.1-1</a><br /> <code class="func">FrobeniusNumber</code> <a href="chap3.html#X7B7DFAB2834B2B36">3.2-2</a><br /> <code class="func">FrobeniusNumberOfNumericalSemigroup</code> <a href="chap3.html#X7828CD2B83E380FA">3.2-1</a><br /> <code class="func">FundamentalGapsOfNumericalSemigroup</code> <a href="chap3.html#X81EC33E978C73FEA">3.3-2</a><br /> <code class="func">GapsOfNumericalSemigroup</code> <a href="chap3.html#X7B1BEC5786C66244">3.3-1</a><br /> <code class="func">GeneratorsOfIdealOfNumericalSemigroup</code> <a href="chap7.html#X86A9200283D1B32B">7.1-4</a><br /> <code class="func">GeneratorsOfIdealOfNumericalSemigroupNC</code> <a href="chap7.html#X86A9200283D1B32B">7.1-4</a><br /> <code class="func">GeneratorsOfNumericalSemigroup</code> <a href="chap3.html#X7A3177E779C49D13">3.1-2</a><br /> <code class="func">GeneratorsOfNumericalSemigroupNC</code> <a href="chap3.html#X7A3177E779C49D13">3.1-2</a><br /> <code class="func">GraphAssociatedToElementInNumericalSemigroup</code> <a href="chap4.html#X81CC5A6C870377E1">4.1-3</a><br /> <code class="func">HilbertFunctionOfIdealOfNumericalSemigroup</code> <a href="chap7.html#X82156F18807B00BF">7.1-13</a><br /> <code class="func">IdealOfNumericalSemigroup</code> <a href="chap7.html#X78E5F44E81485C17">7.1-1</a><br /> <code class="func">IntersectionIdealsOfNumericalSemigroup</code> <a href="chap7.html#X85CC100F78608D5E">7.1-21</a><br /> <code class="func">IntersectionOfNumericalSemigroups</code> <a href="chap5.html#X874494928728023E">5.1-3</a><br /> <code class="func">IrreducibleNumericalSemigroupsWithFrobeniusNumber</code> <a href="chap6.html#X78345A267ADEFBAB">6.1-5</a><br /> <code class="func">IsAperyListOfNumericalSemigroup</code> <a href="chap2.html#X84A611557B5ACF42">2.2-4</a><br /> <code class="func">IsArfNumericalSemigroup</code> <a href="chap8.html#X8255C5907F8968B9">8.2-1</a><br /> <code class="func">IsBezoutSequence</code> <a href="chapA.html#X86C990AC7F40E8D0">A.1-2</a><br /> <code class="func">IsGradedAssociatedRingNumericalSemigroupCM</code> <a href="chap7.html#X7876199778D6B320">7.1-19</a><br /> <code class="func">IsIdealOfNumericalSemigroup</code> <a href="chap7.html#X85BD6FAD7EA3B5DD">7.1-2</a><br /> <code class="func">IsIrreducibleNumericalSemigroup</code> <a href="chap6.html#X87D62468791EDE8A">6.1-1</a><br /> <code class="func">IsMEDNumericalSemigroup</code> <a href="chap8.html#X867615F8846824EB">8.1-1</a><br /> <code class="func">IsModularNumericalSemigroup</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsMonomialNumericalSemigroup</code> <a href="chap7.html#X7A04B8887F493733">7.1-22</a><br /> <code class="func">IsNumericalSemigroup</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupByAperyList</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupByFundamentalGaps</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupByGaps</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupByGenerators</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupByInterval</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupByMinimalGenerators</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupByOpenInterval</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupBySmallElements</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsNumericalSemigroupBySubAdditiveFunction</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsProportionallyModularNumericalSemigroup</code> <a href="chap2.html#X7B1B6B8C82BD7084">2.2-1</a><br /> <code class="func">IsPseudoSymmetricNumericalSemigroup</code> <a href="chap6.html#X84125DC485D48A88">6.1-3</a><br /> <code class="func">IsSubsemigroupOfNumericalSemigroup</code> <a href="chap2.html#X86D5B3517AF376D4">2.2-5</a><br /> <code class="func">IsSymmetricNumericalSemigroup</code> <a href="chap6.html#X7BCDAFE3791A3C48">6.1-2</a><br /> <code class="func">LengthsOfFactorizationsElementWRTNumericalSemigroup</code> <a href="chap9.html#X7FDE4F94870951B1">9.1-2</a><br /> <code class="func">MaximalIdealOfNumericalSemigroup</code> <a href="chap7.html#X829EACA378BE3665">7.1-16</a><br /> <code class="func">MaximumDegreeOfElementWRTNumericalSemigroup</code> <a href="chap9.html#X7E3ED34D78F3A8CA">9.1-6</a><br /> <code class="func">MEDNumericalSemigroupClosure</code> <a href="chap8.html#X86C8358D8530106F">8.1-2</a><br /> <code class="func">MicroInvariantsOfNumericalSemigroup</code> <a href="chap7.html#X7B29CDA7783FC0D2">7.1-18</a><br /> <code class="func">MinimalArfGeneratingSystemOfArfNumericalSemigroup</code> <a href="chap8.html#X7C0D2F7986165DDE">8.2-3</a><br /> <code class="func">MinimalGeneratingSystemOfIdealOfNumericalSemigroup</code> <a href="chap7.html#X7CF1EA687B137C3D">7.1-3</a><br /> <code class="func">MinimalGeneratingSystemOfNumericalSemigroup</code> <a href="chap3.html#X7A3177E779C49D13">3.1-2</a><br /> <code class="func">MinimalMEDGeneratingSystemOfMEDNumericalSemigroup</code> <a href="chap8.html#X848FD3FA7DB2DD4C">8.1-3</a><br /> <code class="func">MinimalPresentationOfNumericalSemigroup</code> <a href="chap4.html#X7D8199858781EB41">4.1-2</a><br /> <code class="func">ModularNumericalSemigroup</code> <a href="chap2.html#X87206D597873EAFF">2.1-2</a><br /> <code class="func">MultipleOfIdealOfNumericalSemigroup</code> <a href="chap7.html#X857FE5C57EE98F5E">7.1-9</a><br /> <code class="func">MultiplicityOfNumericalSemigroup</code> <a href="chap3.html#X842721EF8145C3D3">3.1-1</a><br /> <code class="func">NumericalSemigroup</code> <a href="chap2.html#X86DEEBFE854B60A6">2.1-1</a><br /> <code class="func">NumericalSemigroupByAperyList</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupByFundamentalGaps</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupByGaps</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupByGenerators</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupByInterval</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupByMinimalGenerators</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupByMinimalGeneratorsNC</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupByOpenInterval</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupBySmallElements</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupBySubAdditiveFunction</code> <a href="chap2.html#X79B38AB3816BF3C5">2.1-4</a><br /> <code class="func">NumericalSemigroupsWithFrobeniusNumber</code> <a href="chap5.html#X87369D567AA6DBA0">5.2-2</a><br /> <code class="func">NumericalSemigroupsWithGenus</code> <a href="chap5.html#X86970F6A868DEA95">5.2-3</a><br /> <code class="func">OverSemigroupsNumericalSemigroup</code> <a href="chap5.html#X7EEA97AB85FE078C">5.2-1</a><br /> <code class="func">ProportionallyModularNumericalSemigroup</code> <a href="chap2.html#X879171CD7AC80BB5">2.1-3</a><br /> <code class="func">PseudoFrobeniusOfNumericalSemigroup</code> <a href="chap3.html#X829A9C517A83FFD5">3.2-3</a><br /> <code class="func">QuotientOfNumericalSemigroup</code> <a href="chap5.html#X83CCE63C82F34C25">5.1-4</a><br /> <code class="func">RandomListForNS</code> <a href="chapB.html#X79E73F8787741190">B.1-2</a><br /> <code class="func">RandomListRepresentingSubAdditiveFunction</code> <a href="chapB.html#X8665F6B08036AFFB">B.1-5</a><br /> <code class="func">RandomModularNumericalSemigroup</code> <a href="chapB.html#X82E22E9B843DF70F">B.1-3</a><br /> <code class="func">RandomNumericalSemigroup</code> <a href="chapB.html#X7CC477867B00AD13">B.1-1</a><br /> <code class="func">RandomProportionallyModularNumericalSemigroup</code> <a href="chapB.html#X8598F10A7CD4A135">B.1-4</a><br /> <code class="func">ReductionNumberIdealNumericalSemigroup</code> <a href="chap7.html#X82C2BF5E840C815D">7.1-15</a><br /> <code class="func">RemoveMinimalGeneratorFromNumericalSemigroup</code> <a href="chap5.html#X7C94611F7DD9E742">5.1-1</a><br /> <code class="func">RepresentsGapsOfNumericalSemigroup</code> <a href="chap2.html#X78906CCD7BEE0E58">2.2-3</a><br /> <code class="func">RepresentsPeriodicSubAdditiveFunction</code> <a href="chapA.html#X8466A4DC82F07579">A.2-1</a><br /> <code class="func">RepresentsSmallElementsOfNumericalSemigroup</code> <a href="chap2.html#X87B02A9F7AF90CB9">2.2-2</a><br /> <code class="func">SmallElementsOfIdealOfNumericalSemigroup</code> <a href="chap7.html#X7BDEBFCB7A1DAFC7">7.1-6</a><br /> <code class="func">SmallElementsOfNumericalSemigroup</code> <a href="chap3.html#X79D6E4727B612B54">3.1-3</a><br /> <code class="func">SpecialGapsOfNumericalSemigroup</code> <a href="chap3.html#X7E373952877AC30A">3.3-3</a><br /> <code class="func">SubtractIdealsOfNumericalSemigroup</code> <a href="chap7.html#X78743CE2845B5860">7.1-10</a><br /> <code class="func">SumIdealsOfNumericalSemigroup</code> <a href="chap7.html#X7B39610D7AD5A654">7.1-8</a><br /> <code class="func">TameDegreeOfNumericalSemigroup</code> <a href="chap9.html#X860BDF5B85975B73">9.1-9</a><br /> <code class="func">TranslationOfIdealOfNumericalSemigroup</code> <a href="chap7.html#X803921F97BEDCA88">7.1-12</a><br /> <code class="func">XNumericalSemigroup</code> <a href="chapC.html#X82616EED7F480035">C.1-1</a><br /> <p> </p> </div> <div class="chlinkprevnextbot"> <a href="chap0.html">Top of Book</a> <a href="chapBib.html">Previous Chapter</a> </div> <div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chap5.html">5</a> <a href="chap6.html">6</a> <a href="chap7.html">7</a> <a href="chap8.html">8</a> <a href="chap9.html">9</a> <a href="chapA.html">A</a> <a href="chapB.html">B</a> <a href="chapC.html">C</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div> <hr /> <p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p> </body> </html>