Monoids

class sage.monoids.monoid.Monoid_class(names, category=None)

Bases: Parent

EXAMPLES:

Sage

sage: from sage.monoids.monoid import Monoid_class
sage: Monoid_class(('a','b'))
<sage.monoids.monoid.Monoid_class_with_category object at ...>

Python

>>> from sage.all import *
>>> from sage.monoids.monoid import Monoid_class
>>> Monoid_class(('a','b'))
<sage.monoids.monoid.Monoid_class_with_category object at ...>

gens()

Return the generators for self.

EXAMPLES:

Sage

sage: F.<a,b,c,d,e> = FreeMonoid(5)
sage: F.gens()
(a, b, c, d, e)

Python

>>> from sage.all import *
>>> F = FreeMonoid(Integer(5), names=('a', 'b', 'c', 'd', 'e',)); (a, b, c, d, e,) = F._first_ngens(5)
>>> F.gens()
(a, b, c, d, e)

monoid_generators()

Return the generators for self.

EXAMPLES:

Sage

sage: F.<a,b,c,d,e> = FreeMonoid(5)
sage: F.monoid_generators()
Family (a, b, c, d, e)

Python

>>> from sage.all import *
>>> F = FreeMonoid(Integer(5), names=('a', 'b', 'c', 'd', 'e',)); (a, b, c, d, e,) = F._first_ngens(5)
>>> F.monoid_generators()
Family (a, b, c, d, e)