Module jas :: Class WordRing

Class WordRing

Ring --+
       |
      WordRing

Represents a JAS free non-commutative polynomial ring: GenWordPolynomialRing.

Has a method to create word ideals. <b>Note:</b> watch your step: check that jython does not reorder multiplication.

Instance Methods

[hide private]

__init__(self, ringstr="", ring=None)
Word polynomial ring constructor.

source code

__str__(self)
Create a string representation.

source code

ideal(self, ringstr="", list=None)
Create a word ideal.

source code

one(self)
Get the one of the word polynomial ring.

source code

zero(self)
Get the zero of the word polynomial ring.

source code

random(self, k, l, d)
Get a random word polynomial.

source code

element(self, poly)
Create an element from a string or object.

source code

Inherited from Ring: __eq__, algebraicRoots, complexRoots, decimalRoots, factors, factorsAbsolute, gcd, gens, inject_variables, integrate, paramideal, powerseriesRing, realRoots, rootReduce, rootRefine, rootsOfUnity, squarefreeFactors, variable_generators

Static Methods

[hide private]

Inherited from Ring: getEngineFactor, getEngineGcd, getEngineSqf

Method Details

[hide private]

init(self, ringstr="", ring=None)
(Constructor)

source code

Word polynomial ring constructor.

Overrides: Ring.__init__

str(self)
(Informal representation operator)

source code

Create a string representation.

Overrides: Ring.__str__

ideal(self, ringstr="", list=None)

source code

Create a word ideal.

Overrides: Ring.ideal

one(self)

source code

Get the one of the word polynomial ring.

Overrides: Ring.one

zero(self)

source code

Get the zero of the word polynomial ring.

Overrides: Ring.zero

random(self, k, l, d)

source code

Get a random word polynomial.

Overrides: Ring.random

element(self, poly)

source code

Create an element from a string or object.

Overrides: Ring.element

Class WordRing

__init__(self, ringstr="", ring=None) (Constructor)

__str__(self) (Informal representation operator)

ideal(self, ringstr="", list=None)

one(self)

zero(self)

random(self, k, l, d)

element(self, poly)

init(self, ringstr="", ring=None)
(Constructor)

str(self)
(Informal representation operator)