def __init__(self, n, names=None):
"""
Create free monoid on `n` generators.
INPUT:
- ``n`` - integer
- ``names`` - (optional) variable name or list of
variable names
EXAMPLES::
sage: F = FreeMonoid(3,'x'); F
Free monoid on 3 generators (x0, x1, x2)
sage: x = F.gens()
sage: x[0]*x[1]**5 * (x[0]*x[2])
x0*x1^5*x0*x2
sage: F = FreeMonoid(3, 'a')
sage: F
Free monoid on 3 generators (a0, a1, a2)
::
sage: M = FreeMonoid(3, names=['a','b','c'])
sage: TestSuite(M).run()
"""
if not isinstance(n, (int, long, Integer)):
raise TypeError, "n (=%s) must be an integer."%n
if n < 0:
raise ValueError, "n (=%s) must be nonnegative."%n
self.__ngens = int(n)
#self._assign_names(names)
Monoid_class.__init__(self,names)
def __init__(self, n, names=None):
"""
Create free monoid on `n` generators.
INPUT:
- ``n`` - integer
- ``names`` - (optional) variable name or list of
variable names
EXAMPLES::
sage: F = FreeMonoid(3,'x'); F
Free monoid on 3 generators (x0, x1, x2)
sage: x = F.gens()
sage: x[0]*x[1]**5 * (x[0]*x[2])
x0*x1^5*x0*x2
sage: F = FreeMonoid(3, 'a')
sage: F
Free monoid on 3 generators (a0, a1, a2)
::
sage: M = FreeMonoid(3, names=['a','b','c'])
sage: TestSuite(M).run()
"""
if not isinstance(n, (int, long, Integer)):
raise TypeError("n (=%s) must be an integer." % n)
if n < 0:
raise ValueError("n (=%s) must be nonnegative." % n)
self.__ngens = int(n)
#self._assign_names(names)
Monoid_class.__init__(self, names)