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Package sage :: Package algebras :: Module algebra_ideal :: Class AlgebraIdeal
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Class AlgebraIdeal

source code

object --+
         |
        AlgebraIdeal
Known Subclasses:
AlgebraLeftIdeal, AlgebraRightIdeal, AlgebraTwoSidedIdeal 

Generic left, right, and two-sided algebra ideals.

classes AlgebraLeftIdeal, AlgebraRightIdeal and
AlgebraTwosidedIdeal are derived from this class


Instance Methods [hide private]
 
__init__(self, A, gens=[])
Create an ideal in algebra A with given gens		 source code
 
__repr__(self)
repr(x)		 source code
 
__call__(self, x) source code
 
__contains__(self, x) source code
 
base_ring(self)
Return the base ring of this algebra ideal...		 source code
 
gen(self, i)
Return the i'th generator of this algebra ideal...		 source code
 
ngens(self)
Return the number of generators of this algebra ideal...		 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, gens=[])
(Constructor)

source code  

Create an ideal in algebra A with given gens
Overrides: object.__init__

__repr__(self)
(Representation operator)

source code  
repr(x)
Overrides: object.__repr__
(inherited documentation)

base_ring(self)

source code  

Return the base ring of this algebra ideal

EXAMPLES:

gen(self, i)

source code  

Return the i'th generator of this algebra ideal

EXAMPLES:

ngens(self)

source code  

Return the number of generators of this algebra ideal

EXAMPLES:

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