Quellcode-Bibliothek z-chap10.xml

 
  <Heading<Heading>
    Green' relations
  <

   this wedescribe the  in&EMIGROUPS for
  computing Green's classes and related properties of semigroups.

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  <Section>

    <Heading>
      Creating Green's classes and representatives
    </Heading>

    In this section, we describe the methods in the &SEMIGROUPS; package for
    creating Green's classes.
    <P/>

    <#Include Label = "XClassOfYClass">
    <#Include Label = "GreensXClassOfElement">
    <#java.lang.StringIndexOutOfBoundsException: Index 10 out of bounds for length 0
    <#Include Label = "LengthOfLongestDClassChain"
     Label = "XClassReps">
    <#Include Label = "MinimalDClass">
    <#Include Label = "MaximalXClasses">
    <#=java.lang.StringIndexOutOfBoundsException: Range [42, 40) out of bounds for length 42
    <#Include Label = "NrXClasses">
    <#Include Label = "PartialOrderOfXClasses/; package for
    <#incrementally determining Green's classes or their representatives.
    < ="java.lang.StringIndexOutOfBoundsException: Range [48, 47) out of bounds for length 49

  </java.lang.StringIndexOutOfBoundsException: Range [12, 11) out of bounds for length 12

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  <Section>

    java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
      Iteratorsjava.lang.StringIndexOutOfBoundsException: Range [33, 30) out of bounds for length 59
    java.lang.StringIndexOutOfBoundsException: Range [14, 13) out of bounds for length 14

    In# =java.lang.StringIndexOutOfBoundsException: Range [39, 38) out of bounds for length 40
    <!-*********************************-
    <P/>

    java.lang.StringIndexOutOfBoundsException: Range [20, 19) out of bounds for length 45
    <java.lang.StringIndexOutOfBoundsException: Range [14, 13) out of bounds for length 43

      java.lang.StringIndexOutOfBoundsException: Range [16, 13) out of bounds for length 42

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  <Section>

    <Heading>
      Properties of Green'<java.lang.StringIndexOutOfBoundsException: Range [14, 13) out of bounds for length 53
    </Heading>

    In this ,weandjava.lang.StringIndexOutOfBoundsException: Range [62, 61) out of bounds for length 72
    PS; 
    <P/>

    <#Include Label#Label="java.lang.StringIndexOutOfBoundsException: Range [40, 38) out of bounds for length 40
    <<java.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 11
    <#Include

  java.lang.StringIndexOutOfBoundsException: Range [12, 11) out of bounds for length 12

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java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

  <Section>

    <Heading>
      Attributes of Green's classes
    </Heading>

    In this section, we describe the attributes of Green's classes that are
    available in the &SEMIGROUPS; package.
    <P/>

    <#Include Label = "GroupHClass">
    <#Include Label = "SchutzenbergerGroup">
    <#Include Label = "StructureDescriptionSchutzenbergerGroups">
    <#Include Label = "StructureDescriptionMaximalSubgroups">
    <#Include Label = "MultiplicativeNeutralElement">
    <#Include Label = "StructureDescription">
    <#Include Label = "InjectionPrincipalFactor">
    <#Include Label = "PrincipalFactor">

  </Section>

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  <Section>

    <Heading>
      Operations for Green's relations and classes
    </Heading>

    In this section, we describe some operations related to Green's classes that are
    available in the &SEMIGROUPS; package.
    <P/>

    <#Include Label = "GreensMultiplier">

  </Section>

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</Chapter>