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range extension - translation to russian
FIELD EXTENSION WHOSE GALOIS GROUP IS ABELIAN
Cyclic extension; Abelian extensions; Abelian Extension; Cyclotomic extension; Solvable extension; Cyclic field extension; Abelian field extension; Solvable field extension
range extension
общая лексика
расширение диапазона
extension problem
GROUP FOR WHICH A GIVEN GROUP IS A NORMAL SUBGROUP
Extension problem; Extension (algebra); Split extension; Extension of a group; Central extension (mathematics)
математика
задача продолжения
field extension
PAIR OF A MATHEMATICAL FIELD AND ITS SUBFIELD
Subfield (mathematics); Quadratic extension; Purely transcendental; Extension field; Quadratic field extension; Degree (field theory); Subextension (field theory); Trivial extension; Intermediate field; Adjunction (field theory); Extension of a field; Finitely generated field extension; Purely transcendental extension; Field Extension; Finitely generated extension; Subextension; Cubic field extension; Cubic extension; Transcendental field extension; Adjoining (field theory)
общая лексика
расширение поля
поле расширения
Definition
Брукса хребет
(Brooks Range)
горный хребет на С. Аляски. Длина около 1000 км, ширина до 200 км. Преобладающие высоты 1500-2000 м, наибольшая высота 2816 м (г. Майклсон). Сложен породами преимущественно нижнепалеозойского возраста (известняки, кварциты, сланцы, песчаники). Глубоко расчленён долинами рек. Широко распространены древние ледниковые формы. Небольшие современные ледники. Служит водоразделом между реками арктического склона и бассейном р. Юкон. Растительность - горная тундра; характерны каменистые россыпи и обнажённые скалы.
Wikipedia
Abelian extension
In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian. When the Galois group is also cyclic, the extension is also called a cyclic extension. Going in the other direction, a Galois extension is called solvable if its Galois group is solvable, i.e., if the group can be decomposed into a series of normal extensions of an abelian group. Every finite extension of a finite field is a cyclic extension.
