An algebraic closure of a field K is an algebraic extension K/K for which K is algebraically closed.
Ancestors (5)
Incoming links (55)
- Absolute irreducibility of a group representation
- Bounded-degree extensions with restricted ramification
- Closure of separable algebraic elements under addition
- Completion of an algebraic closure of a p-adic field is algebraically closed
- Conjugate element (field theory)
- Division point of an elliptic curve
- Field norm
- Field of algebraic numbers
- Newton polygon root valuation theorem
- Nonsingular point of an algebraic curve
- Ordinary double point
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- Projective transitivity of a trinomial linearized polynomial
- Resultant
- Resultant as a product over roots
- Root of unity over a finite field
- Smooth-locus group of a singular Weierstrass cubic
- Sylvester matrix
- Unramified base change preserves total ramification
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