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Kolchin E.R. — Differential algebraic groups
Kolchin E.R. — Differential algebraic groups

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Название: Differential algebraic groups

Автор: Kolchin E.R.

Язык: en

Рубрика: Математика/Алгебра/Дифференциальная алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1985

Количество страниц: 271

Добавлена в каталог: 12.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$(\Delta, \Delta ‘)$-$\mathscr{F}$-Homomorphism of $\Delta$-$\mathscr{F}$-group into $\Delta ‘$-$\mathscr{F}$-group      56
$(\Delta, \Delta ‘)$-$\mathscr{F}$-Homomorphism of homogeneous $\Delta$-$\mathscr{F}$-space into homogeneous $\Delta ‘$-$\mathscr{F}$-space      57
$Delta$-Derivation      8
$\Delta $-Disjoint pair $(\mathscr{G}, \Delta)$ over $\mathscr{F}$-      20
$\Delta ‘$-Disjoint from $\Delta$ over $\mathscr{F}$      57
$\Delta$-$(\mathscr{G}, \mathscr{F})$-Homomorphism of $\Delta$-$\mathscr{G}$-group into $\Delta$-$\mathscr{F}$-group      48
$\Delta$-$(\mathscr{G}, \mathscr{F})$-Homomorphism of homogeneous $\Delta$-$\mathscr{G}$-space into homogeneous $\Delta$-$\mathscr{F}$-space      49
$\Delta$-$\mathscr{F}$-1-Coboundary, $\Delta$-$\mathscr{F}$-coboundary      171
$\Delta$-$\mathscr{F}$-Affine element of a $\Delta$-$\mathscr{F}$-set      195—196
$\Delta$-$\mathscr{F}$-Affine subset of a $\Delta$-$\mathscr{F}$-set      138
$\Delta$-$\mathscr{F}$-Algebra      152
$\Delta$-$\mathscr{F}$-Automorphism      38
$\Delta$-$\mathscr{F}$-Cohomologous, $\Delta$-$\mathscr{F}$-cohomology class, 1st $\Delta$-$\mathscr{F}$-cohomology set      171
$\Delta$-$\mathscr{F}$-Division ring      148
$\Delta$-$\mathscr{F}$-Endomorphism      38
$\Delta$-$\mathscr{F}$-Equivalent      120
$\Delta$-$\mathscr{F}$-Field      148
$\Delta$-$\mathscr{F}$-Function      136
$\Delta$-$\mathscr{F}$-group      32—33
$\Delta$-$\mathscr{F}$-group quotient      103
$\Delta$-$\mathscr{F}$-Homomorphism, of $\Delta$-$\mathscr{F}$-groups      37
$\Delta$-$\mathscr{F}$-Homomorphism, of $\Delta$-$\mathscr{F}$-Lie rings      147
$\Delta$-$\mathscr{F}$-Homomorphism, of $\Delta$-$\mathscr{F}$-modules      151
$\Delta$-$\mathscr{F}$-Homomorphism, of $\Delta$-$\mathscr{F}$-rings      147
$\Delta$-$\mathscr{F}$-Homomorphism, of $\Delta$-$\mathscr{F}$-spaces      227—228
$\Delta$-$\mathscr{F}$-Homomorphism, of homogeneous $\Delta$-$\mathscr{F}$-spaces      37—38
$\Delta$-$\mathscr{F}$-Homomorphism, of pairs ($\Delta$-$\mathscr{F}$-group, homogeneous $\Delta$-$\mathscr{F}$-space)      37—38
$\Delta$-$\mathscr{F}$-Ideal of a $\Delta$-$\mathscr{F}$-algebra or $\Delta$-$\mathscr{F}$-Lie algebra      152
$\Delta$-$\mathscr{F}$-Ideal of a $\Delta$-$\mathscr{F}$-ring or $\Delta$-$\mathscr{F}$-Lie ring      147
$\Delta$-$\mathscr{F}$-Isomorphism      38
$\Delta$-$\mathscr{F}$-l-Cocycle, $\Delta$-$\mathscr{F}$-cocycle      170
$\Delta$-$\mathscr{F}$-Lie algebra      152
$\Delta$-$\mathscr{F}$-Mapping      121
$\Delta$-$\mathscr{F}$-Minimal pre $\Delta$-$\mathscr{F}$-mapping      120
$\Delta$-$\mathscr{F}$-Module      151
$\Delta$-$\mathscr{F}$-Operation of a $\Delta$-$\mathscr{F}$-group on a $\Delta$-$\mathscr{F}$-group      229
$\Delta$-$\mathscr{F}$-Operation of a $\Delta$-$\mathscr{F}$-group on a $\Delta$-$\mathscr{F}$-space      229
$\Delta$-$\mathscr{F}$-Ring      147
$\Delta$-$\mathscr{F}$-Set      37
$\Delta$-$\mathscr{F}$-Space      227
$\Delta$-$\mathscr{F}$-Splits in M      174
$\Delta$-$\mathscr{F}$-Vector space      151
$\Delta$-$\mathscr{H}$-Mapping      132
$\Delta$-Commutator group      111
$\Delta$-Derivation, $\Delta$-$\mathscr{F}$-derivation, on an irreducible $\Delta$-$\mathscr{F}$-set      205
$\Delta$-Derived group, $\Delta$-derived series of a $\Delta$-$\mathscr{F}$-group      111
$\Delta$-Derived ideal, $\Delta$-derived series of a $\Delta$-$\mathscr{F}$-Lie algebra      154
$\Delta$-Descending central series of a $\Delta$-$\mathscr{F}$-Lie algebra      154
$\Delta$-Descending central series of a $\Delta$-$\mathscr{F}$.-group      111
$\Delta$-Dimension of a pre $\Delta$-$\mathscr{F}$-set      31
$\Delta$-Dimension of an element of a pre $\Delta$-$\mathscr{F}$-set      31
$\Delta$-Field of definition      132
$\Delta$-Rational function      136
$\Delta$-Rational mapping      132
$\Delta$-Specialization of an element of a pre $\Delta$-$\mathscr{F}$-set      30
$\Delta$-Topology, $\Delta$-$\mathscr{H}$-topology      73
$\Delta$-Type of a finitely generated extension      8
$\Delta$-Type of a pre $\Delta$-$\mathscr{F}$-set      31
$\Delta$-Type of an element of a pre $\Delta$-$\mathscr{F}$-set      30
$\Delta$-Zariski topology      73
$\Delta$-Zariski topology relative to $\mathscr{H}$      73
$\mathscr{F}$-Component of a pre $\Delta$-$\mathscr{F}$-set      30
$\mathscr{F}$-Irreducible pre $\Delta$-$\mathscr{F}$-set      30
0th Constrained cohomology set      160
1st Constrained cohomology set of $\mathscr{F}$ in G      168
1st Constrained cohomology set of $\mathscr{N}$ over $\mathscr{F}$ in G      164
A-Algebraic element over $\Delta$-$\mathscr{F}$      29
Algebraic element over $\Delta$-$\mathscr{F}$      29
Algebraically disjoint family of elements of pre $\Delta$-$\mathscr{F}$-sets      32
Algebraically disjoint family of subalgebras      1
Bicompatible      2
Bidefined      129
Cohomologous, cohomology class      164
Comparable      1
Complete pre $\Delta$-$\mathscr{F}$-equivalence      31
Component of a $\Delta$-$\mathscr{F}$-set      78
Component of the identity      42
Connected $\Delta$-$\mathscr{F}$-group      78
Connecting homomorphism      169
Constrained 1-coboundary of $\mathscr{N}$ over $\mathscr{F}$ in G      164
Constrained 1-cocycle of $\mathscr{N}$ over $\mathscr{F}$ in G      161
Constrained element of a pre $\Delta$-$\mathscr{F}$-set      79
Crossed $\Delta$-$\mathscr{F}$-homomorphism of $\Delta$-$\mathscr{F}$-groups      229
Crossed $\Delta$-$\mathscr{F}$-homomorphism of $\Delta$-$\mathscr{F}$-spaces      230
Direct product of $\Delta$-$\mathscr{F}$-groups, of homogeneous $\Delta$-$\mathscr{F}$-spaces      97
Domain of bidefinition      129
Evaluation homomorphism      195
Everywhere defined      31
Generic $\Delta$-specialization of an element of a pre $\Delta$-$\mathscr{F}$-set      30
Generic composite      125
Generic element over $\mathscr{F}, $\mathscr{F}$-generic element      30
Generic inverse, generically invertible      128
Generically surjective      128
Habitat      121
Holomorphic at a $\Delta$-specialization      114
Homogeneous $\Delta$-$\mathscr{F}$-space      34—35
Homogeneous $\Delta$-$\mathscr{F}$-space quotient      103
Homomorphism of a $\Delta$-specialization      114
Induced $\Delta$-$\mathscr{F}$-group of a $\Delta ‘$-$\mathscr{F}$-group      57
Induced $\Delta$-$\mathscr{G}$-group of a $\Delta$-$\mathscr{F}$-group      48—49
Induced homogeneous $\Delta$-$\mathscr{F}$-space of a homogeneous $\Delta ‘$-$\mathscr{F}$-space      57
Induced homogeneous $\Delta$-$\mathscr{G}$-space of a homogeneous $\Delta$-$\mathscr{F}$-space      49
Irreducible $\Delta$-$\mathscr{F}$-set      78
Lie algebra of a $\Delta$-$\mathscr{F}$-group      211
Lie algebra of a principal homogeneous $\Delta$-$\mathscr{F}$-space      211
Linearly disjoint family of algebras      1
Linearly disjoint family of elements of pre $\Delta$-$\mathscr{F}$-sets      32
Local $\Delta$-derivation      197
Local $\Delta$-ring on an irreducible $\Delta$-$\mathscr{F}$-set      195
Local component      207
Local homomorphism of a $\Delta$-specialization      114
Localizable      207
Locus over      9 30
Logarithmic derivative, logarithmic derivation      236
Normal short exact $\Delta$-$\mathscr{F}$-sequence for G      169
Opposite $\Delta$-$\mathscr{F}$-group      33
Pre $\Delta$-$\mathscr{F}$-homomorphism of $\Delta$-$\mathscr{F}$-groups      89
Pre $\Delta$-$\mathscr{F}$-homomorphism of homogeneous $\Delta$-$\mathscr{F}$-spaces      89
Pre $\Delta$-$\mathscr{F}$-mapping      31
Pre $\Delta$-$\mathscr{F}$-set      29
Pre $\Delta$-$\mathscr{F}$-subset      30
Principal homogeneous $\Delta$-$\mathscr{F}$-space      34—35
Pro $\Delta$-$\mathscr{N}$-mapping      160
Quotient mapping      103—104
Rational element over $\mathscr{F}$      29
Regular $\Delta$-$\mathscr{F}$-space      35
Regular element over $\mathscr{F}$      29
Relative $\Delta$-$\mathscr{F}$-homomorphism      228
Short exact $\Delta$-$\mathscr{F}$-sequence for G      169
Splits in M      161
System of $\Delta$-$\mathscr{F}$-affine coordinates      195
System of global $\Delta$-$\mathscr{F}$-affine coordinates      196
Tangent space      198
Tangent vector      198
Typical $\Delta$-dimension of a pre $\Delta$-$\mathscr{F}$-set      31
Typical $\Delta$-dimension of an element of a pre $\Delta$-$\mathscr{F}$-set      30
Typical $\Delta$-transcendence degree      8
Value at a $\Delta$-specialization      114
Zero of a subset of $\mathscr{F}[\mathscr{F} (vt) \cup \mathscr{F} <t>]$      68—69
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