Basic Rings#
Introduction to Rings
The ring/field world, coercion and generic ring functionality.
Ring of Integers
Integer arithmetic, divisibility, primes and number-theoretic functions.
Integer Residue Class Rings
Rings Z/nZ, Chinese remainder theorem and Hensel lifting.
Rational Field
Rational number arithmetic and conversion.
Finite Fields
Construction, arithmetic and extensions of finite fields.
Nearfields
Nearfield construction, properties and element operations.
Univariate Polynomial Rings
Univariate polynomial ring creation, operations and elements.
Multivariate Polynomial Rings
Multivariate polynomial ring creation, operations and elements.
Real and Complex Fields
Real and complex field creation, structure and element operations.