Prestel A. — Lectures On Formally Real Fields :: Электронная библиотека попечительского совета мехмата МГУ

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Prestel A. — Lectures On Formally Real Fields

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Название: Lectures On Formally Real Fields

Автор: Prestel A.

Язык:

Рубрика: Математика/

Серия: Lecture Notes in Mathematics

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 144

Добавлена в каталог: 12.09.2008

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Предметный указатель

-equivalent      44
2-divisible      90
Algebraic function field      105
Anisotropic part      110
Archimedean      9
Axiom system      39
Axiomatizable (finitely-)      39
Boolean space      6 5
Clopen      63
Cofinal      78
Compactness Theorem      42
Compatible (with)      72
Constant term      37
Convex      72
Cut-complete      10
definite      22
Determinant      19
Diagonalization      17
Dimension (of a quadratic form)      15
Elementary equivalent      44
Elementary language of fields      34
Elementary property      39
Elementary substructure      45
Elimination of quantifiers      45
Equivalent (quadratic forms)      16
Equivalent (valuations)      71
Euclidean      102
Extension (of valuations)      82
Formal Laurent series      89
Formal power series      84
Formally real      4
Formula      36
Free variable      37
Fundamental ideal      11 2
Henselian      85
Henselian closure      86
Henselization      86
Hensel’s Lemma      8 5
Hilbert’s Nullstellensatz      54
hold      38
Hyperbolic (form, plane)      110
Immediate (extension)      85
indefinite      22
Inner product space      17
Interpretation      35
Isometric      17
Isotropic (quadratic form)      1 6
Isotropic (vector)      17
Lefschetz-principle      53
Maximally ordered      2 5
Model      38

Model class      38
Natural valuation      89
Negative definite      22
Orderable      4
Ordering (field)      1
Ordering (group)      70
Orthogonal (complement)      17
Positive cone      1
Positive definite      22
Pre-positive cone      2
Pre-seraicene      6
Prime formula      36
Proper semiordering      6
Quadratic form      1 5
Quantifier free      45
Radical      17
Real algebraic closure      27
Real closed      25
Real henselian field      85
Real Nullstellensatz      58
Real place      71
Real radical      58
Regular (inner product space)      17
Regular (quadratic form)      19
Represents      18
Residue class field      71
Residue class form      90
SAP-field      65
Section      73
Semicone      6
Semiordering      5
Semisection      73
Sentence      38
Separate from      6 5
Signature      20
Similar      110
Strongly anisotropic      21
Structure      3 5
Substructure      4 5
Support      89
Tarski-Principle      51
Term      3 6
Total signature      114
Totally positive      4
Trivial on      105
Universal elementary property      61
Valuation      70
Valuation-ring      70
Valued field      71
Weakly isotropic      21
Witt ring      111
Witt’s Cancellation Theorem      109

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