Ideal

In mathematics, and ideal is a subset of a ring that is closed under addition and multiplication by any element of the ring.

Ideal is a college-level concept that would be first encountered in an abstract algebra course covering rings and fields.

Prerequisites

In mathematics, a ring is an Abelian group together with a rule for multiplying its elements.

Classroom Articles on Rings and Fields

	Algebra	Finite Field
	Algebraic Number	Gaussian Integer
	Field	Quaternion

Classroom Articles on Abstract Algebra (Up to College Level)

	Abelian Group	Group Representation
	Abstract Algebra	Group Theory
	Boolean Algebra	Isomorphism
	Cyclic Group	Normal Subgroup
	Dihedral Group	Simple Group
	Finite Group	Subgroup
	Group	Symmetric Group
	Group Action	Symmetry Group