In dictionaries:
Galois theory
Study of symmetries in fields.
Galois field
Finite field with prime power elements.
Galois group
Group of a polynomial's symmetries.
Galois connection
(category theory, order theory) A type of correspondence between partially ordered sets (posets), also applicable to preordered sets.
galois fields
galois groups
Galois extension
(algebra, Galois theory) An algebraic extension that is both a normal and a separable extension; equivalently, an algebraic extension E/F such that the fixed field of its automorphism group (Galois group) Aut(E/F) is the base field F.
evariste galois
Founder of modern group theory.
Galois cohomology
In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups.
galois extensions
Évariste galois
Founder of modern group theory.
galois closure
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