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Monoids¶

Sage supports free monoids and free abelian monoids in any finite number of indeterminates, as well as free partially commutative monoids (trace monoids).

  • Monoids
    • Monoid_class
    • is_Monoid()
  • Free Monoids
    • FreeMonoid
    • is_FreeMonoid()
  • Elements of Free Monoids
    • FreeMonoidElement
    • is_FreeMonoidElement()
  • Free abelian monoids
    • FreeAbelianMonoid()
    • FreeAbelianMonoidFactory
    • FreeAbelianMonoid_class
    • is_FreeAbelianMonoid()
  • Abelian Monoid Elements
    • FreeAbelianMonoidElement
    • is_FreeAbelianMonoidElement()
  • Indexed Monoids
    • IndexedFreeAbelianMonoid
    • IndexedFreeAbelianMonoidElement
    • IndexedFreeMonoid
    • IndexedFreeMonoidElement
    • IndexedMonoid
    • IndexedMonoidElement
  • Free String Monoids
    • AlphabeticStringMonoid
    • AlphabeticStrings
    • BinaryStringMonoid
    • BinaryStrings
    • HexadecimalStringMonoid
    • HexadecimalStrings
    • OctalStringMonoid
    • OctalStrings
    • Radix64StringMonoid
    • Radix64Strings
    • StringMonoid_class
  • String Monoid Elements
    • StringMonoidElement
    • is_AlphabeticStringMonoidElement()
    • is_BinaryStringMonoidElement()
    • is_HexadecimalStringMonoidElement()
    • is_OctalStringMonoidElement()
    • is_Radix64StringMonoidElement()
    • is_StringMonoidElement()
  • Utility functions on strings
    • coincidence_discriminant()
    • coincidence_index()
    • frequency_distribution()
    • strip_encoding()
  • Hecke Monoids
    • HeckeMonoid()
  • Automatic Semigroups
    • AutomaticMonoid
    • AutomaticSemigroup
  • Module of trace monoids (free partially commutative monoids).
    • TraceMonoid
    • TraceMonoidElement

Indices and Tables¶

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