# Basic Rings

Introduction to RingsThe ring/field world, coercion and generic ring functionality.

[Introduction to Rings](IntroductionToRings/index-introduction-to-rings.md)Ring of IntegersInteger arithmetic, divisibility, primes and number-theoretic functions.

[Ring of Integers](Integers/index-integers.md)Integer Residue Class RingsRings Z/nZ, Chinese remainder theorem and Hensel lifting.

[Integer Residue Class Rings](ResidueClassRings/index-residue-class-rings.md)Rational FieldRational number arithmetic and conversion.

[Rational Field](Rationals/index-rationals.md)Finite FieldsConstruction, arithmetic and extensions of finite fields.

[Finite Fields](FiniteFields/index-finite-fields.md)NearfieldsNearfield construction, properties and element operations.

[Nearfields](Nearfields/index-nearfields.md)Univariate Polynomial RingsUnivariate polynomial ring creation, operations and elements.

[Univariate Polynomial Rings](UnivariatePolynomialRings/index-univariate-polynomial-rings.md)Multivariate Polynomial RingsMultivariate polynomial ring creation, operations and elements.

[Multivariate Polynomial Rings](MultivariatePolynomialRings/index-multivariate-polynomial-rings.md)Real and Complex FieldsReal and complex field creation, structure and element operations.

[Real and Complex Fields](RealAndComplexFields/index-real-and-complex-fields.md)