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