検索結果- 英語 - 多言語
検索内容:
Galois extensions
plural of Galois extension
algebraic extension
(algebra, field theory) A field extension L/K which is algebraic over K (i.e., is such that every element of L is a root of some (nonzero) polynomial with coefficients in K).
algebraic extensions
field extensions
plural of field extension
field extension
(algebra, field theory, algebraic geometry) Any pair of fields, denoted L/K, such that K is a subfield of L.
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.
extension field
(algebra, field theory) A field L which contains a subfield K, called the base field, from which it is generated by adjoining extra elements.
normal extension
(algebra) A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial.
Buck's extensions
plural of Buck's extension
over-extensions
plural of over-extension
