Linked from

The 29 pages that link to Field (mathematics), each with the reason it gives.

• Finite fieldNarrower topic: Finite fields are precisely fields whose underlying sets have finitely many elements.

• Linear combinationNarrower topic: The coefficient scalars are usually drawn from a field.

• Galois theoryNarrower topic: Galois theory compares fields arranged inside algebraic extensions.

• Algebraic closureNarrower topic: Algebraic closure begins with a field whose polynomials and extensions are being considered.

• Complex multiplicationNarrower topic: Complex numbers form a field, so multiplication obeys familiar arithmetic laws.

• Frobenius endomorphismNarrower topic: Frobenius is defined on fields, where its preservation of operations makes it an endomorphism.

• Algebraically closed fieldNarrower topic: Algebraic closure is a property of fields, defined through polynomials with coefficients in them.

• Field automorphismNarrower topic: Automorphisms act on fields while preserving their defining operations.

• Division by zeroNarrower topic: Field axioms explicitly exclude zero from the elements that may be divided by.

• Number (mathematics)Narrower topic: Fields state the shared arithmetic laws satisfied by rational, real, and complex numbers.

• Carmichael's theoremNarrower topic: The theorem applies to multiplicative subgroups drawn from fields.

• Unit (ring theory)Narrower topic: Fields are the special case where every nonzero element is a unit.