Cat::QuotientField

Category of quotient fields

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Syntax

Cat::QuotientField(R)

Description

Cat::QuotientField(R) represents the category of quotient fields over R.

A Cat::QuotientField is the field of fractions over the integral domain R.

Parameters

R

A domain which must be from the category Cat::IntegralDomain.

Entries

"characteristic"

The characteristic of this domain, which is the same as that of R.

Methods

expand all

Basic Methods

denom(x)

numer(x)

Mathematical Methods

equal(x, y)

iszero(x)

_less(x, y)

retract(x)

The default implementation uses the method "_divide" to divide numerator and denominator.