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1 замкнутое подполе
closed subfield мат.Русско-английский научно-технический словарь Масловского > замкнутое подполе
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2 алгебраически замкнутое подполе
Mathematics: algebraically closed subfieldУниверсальный русско-английский словарь > алгебраически замкнутое подполе
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3 замкнутое подполе
Mathematics: closed subfield -
4 квазиалгебраически замкнутое подполе
Mathematics: quasialgebraically closed subfieldУниверсальный русско-английский словарь > квазиалгебраически замкнутое подполе
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5 целозамкнутое подполе
Mathematics: integrally closed subfieldУниверсальный русско-английский словарь > целозамкнутое подполе
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6 алгебраически замкнутое подполе
Русско-английский научно-технический словарь Масловского > алгебраически замкнутое подполе
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7 квазиалгебраически замкнутое подполе
Русско-английский научно-технический словарь Масловского > квазиалгебраически замкнутое подполе
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8 целозамкнутое подполе
Русско-английский научно-технический словарь Масловского > целозамкнутое подполе
См. также в других словарях:
Closed-form expression — Closed formula redirects here. For closed formula in the sense of a logic formula with no free variables, see Sentence (mathematical logic). In mathematics, an expression is said to be a closed form expression if it can be expressed analytically… … Wikipedia
subfield — noun a) A smaller, more specialized area of study or occupation within a larger one b) A subring of a field, containing the multiplicative identity and closed under inversion … Wiktionary
Real closed field — In mathematics, a real closed field is a field F in which any of the following equivalent conditions are true:#There is a total order on F making it an ordered field such that, in this ordering, every positive element of F is a square in F and… … Wikipedia
Differentially closed field — In mathematics, a differential field K is differentially closed if every finite system of differential equations with a solution in some differential field extending K already has a solution in K. This concept was introduced by Robinson (1959).… … Wikipedia
Algebraically closed field — In mathematics, a field F is said to be algebraically closed if every polynomial in one variable of degree at least 1, with coefficients in F , has a root in F . ExamplesAs an example, the field of real numbers is not algebraically closed,… … Wikipedia
Existentially closed model — In model theory, a branch of mathematical logic, the notion of an existentially closed model of a theory generalizes the notions of algebraically closed fields (for the theory of fields), real closed fields (for the theory of ordered fields),… … Wikipedia
Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… … Wikipedia
Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it … Wikipedia
Glossary of field theory — Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) Definition of a field A field is a commutative ring… … Wikipedia
Finite field — In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and… … Wikipedia
Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… … Wikipedia