nzmath.ring Namespace Reference

Classes
class	CommutativeRing
class	CommutativeRingElement
class	CommutativeRingProperties
class	Field
class	FieldElement
class	Ideal
class	QuotientField
class	QuotientFieldElement
class	ResidueClass
class	ResidueClassRing
class	Ring
class	RingElement

Functions
def	getRingInstance (obj)
def	getRing (obj)
def	inverse (obj)
def	exact_division (self, other)

Detailed Description

base classes for rings.

Function Documentation

exact_division()

def nzmath.ring.exact_division	(		self,
			other
	)

Return the division of 'self' by 'obj' if the division is exact.

Mainly for python built-in objects such as int or float.

Definition at line 852 of file ring.py.

References nzmath.ring.getRingInstance().

Referenced by nzmath.algfield.NumberField.POLRED(), nzmath.poly.uniutil.SubresultantGcdProvider.resultant(), and nzmath.poly.uniutil.SubresultantGcdProvider.subresultant_extgcd().

getRing()

def nzmath.ring.getRing

(

obj

)

Return a ring to which 'obj' belongs.

Mainly for python built-in objects such as int or float.

Definition at line 809 of file ring.py.

Referenced by nzmath.group.GroupElement.getGroup(), and nzmath.ring.inverse().

getRingInstance()

def nzmath.ring.getRingInstance

(

obj

)

Return a RingElement instance which eqauls 'obj'.

Mainly for python built-in objects such as int or float.

Definition at line 790 of file ring.py.

Referenced by nzmath.ring.exact_division().

inverse()

def nzmath.ring.inverse

(

obj

)

Return the inverse of 'obj'.  The inverse can be in the quotient
field, if the 'obj' is an element of non-field domain.

Mainly for python built-in objects such as int or float.

Definition at line 830 of file ring.py.

References nzmath.ring.getRing().