Linked from

The 13 pages that link to Field, each with the reason it gives.

• Field extensionNarrower topic: An extension is itself a field, while its smaller field sits inside it.

• Abstract algebraBroader topic: Fields supply the arithmetic setting underlying much of algebra and linear algebra.

• Group representationRelated: The field determines the scalars used in the represented vector space.

• Maximal idealNarrower topic: For commutative rings with identity, fields are exactly the quotients by maximal ideals.

• Ideal (ring theory)Compared with: A field has no proper nonzero ideals, sharply limiting its ideal structure.

• Constructible numberNarrower topic: Constructible coordinates form a field built from the rational numbers.

• Algebraic structureBroader topic: Fields add division by nonzero elements to the ring framework.

• Solvability by radicalsNarrower topic: The permitted field operations and coefficient field determine the setting for radical solvability.

• Ring theoryBroader topic: Fields are especially structured rings underlying linear algebra and algebraic geometry.

• Freshman's dreamBroader topic: Every field of characteristic p provides a familiar setting for the identity.

• Krull's theoremRelated: The quotient by any maximal ideal is a field, giving a structural interpretation of the conclusion.

• Richard HarrisBroader topic: Harris’s portrayal of Bull McCabe earned another Academy Award nomination.

• Birkhoff–Grothendieck theoremNarrower topic: The stated theorem holds for the projective line over any field.