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

• Index

• Module Index

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