Package sage :: Package algebras :: Module algebra_order_ideal :: Class AlgebraOrderIdeal_generic
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Class AlgebraOrderIdeal_generic

source code

object --+
         |
        AlgebraOrderIdeal_generic
Known Subclasses:
AlgebraOrderLeftIdeal, AlgebraOrderRightIdeal, AlgebraOrderTwoSidedIdeal


A algebra order ideal.



Instance Methods [hide private]
 
__init__(self, A, R, gens=[], left_order=['4ti2-20061025', 'R-2.6.0', 'atlas-3.7.37', 'atlas-3.8.1', 'a..., right_order=['4ti2-20061025', 'R-2.6.0', 'atlas-3.7.37', 'atlas-3.8.1', 'a...)
x.__init__(...) initializes x; see x.__class__.__doc__ for signature
source code
 
__repr__(self)
repr(x)
source code
 
__call__(self, x, check=True) source code
 
__contains__(self, x) source code
 
ambient_algebra(self) source code
 
base_ring(self) source code
 
basis(self) source code
 
__compute_ideal_basis(self, left=False, right=False)
Compute a basis as a left ideal.
source code
 
gen(self, i) source code
 
gens(self) source code
 
module(self) source code
 
ngens(self) source code
 
left_order(self) source code
 
right_order(self) source code
 
rank(self) source code

Inherited from object: __delattr__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __setattr__, __str__

Properties [hide private]

Inherited from object: __class__

Method Details [hide private]

__init__(self, A, R, gens=[], left_order=['4ti2-20061025', 'R-2.6.0', 'atlas-3.7.37', 'atlas-3.8.1', 'a..., right_order=['4ti2-20061025', 'R-2.6.0', 'atlas-3.7.37', 'atlas-3.8.1', 'a...)
(Constructor)

source code 
x.__init__(...) initializes x; see x.__class__.__doc__ for signature

Overrides: object.__init__
(inherited documentation)

__repr__(self)
(Representation operator)

source code 
repr(x)

Overrides: object.__repr__
(inherited documentation)