Linked from

The 25 pages that link to Polynomial ring, each with the reason it gives.

• Algebraic geometryRelated: Its ideals encode collections of polynomial equations.

• Field (mathematics)Related: Polynomials over a field support constructions such as adjoining roots to form extensions.

• Formal power seriesRelated: Polynomials are the finite expressions that formal series extend.

• Quotient ringRelated: Polynomial rings provide the standard setting for concrete quotient-ring examples.

• Commutative ringRelated: Adjoining variables builds new commutative rings and encodes algebraic equations.

• Invariant theoryRelated: Polynomial invariants form a central algebraic object in the subject.

• Complex multiplicationRelated: Complex multiplication can be derived from polynomials by imposing the relation x² = −1.

• IdealRelated: Polynomial ideals encode equations and relations among variables.

• Free objectRelated: Polynomial rings freely adjoin commuting indeterminates to a coefficient ring.

• Noether normalization lemmaRelated: The subalgebra guaranteed by the lemma is a polynomial ring.

• Freshman's dreamRelated: The identity applies coefficientwise in polynomial rings of characteristic p.

• Unit (ring theory)Related: Over an integral domain, its units are exactly the constant polynomials whose coefficients are units.