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Package sage :: Package algebras :: Module algebra_ideal :: Class AlgebraTwoSidedIdeal
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Class AlgebraTwoSidedIdeal

source code

  object --+    
           |    
AlgebraIdeal --+
               |
              AlgebraTwoSidedIdeal


A two-sided ideal in an algebra, such that the left and right orders coincide.


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
 
right_algebra(self)
Return the right algebra of this algebra two-sided-ideal...		 source code
 
left_algebra(self)
Return the right algebra of this algebra two-sided-ideal...		 source code

Inherited from AlgebraIdeal: base_ring, gen, ngens

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: AlgebraIdeal.__init__
(inherited documentation)

__repr__(self)
(Representation operator)

source code  
repr(x)
Overrides: AlgebraIdeal.__repr__

__call__(self, x)
(Call operator)

source code 
Overrides: AlgebraIdeal.__call__

__contains__(self, x)
(In operator)

source code 
Overrides: AlgebraIdeal.__contains__

right_algebra(self)

source code  

Return the right algebra of this algebra two-sided-ideal

EXAMPLES:

left_algebra(self)

source code  

Return the right algebra of this algebra two-sided-ideal

EXAMPLES:

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