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Petrich M. — Categories Of Algebraic Systems
Petrich M. — Categories Of Algebraic Systems

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Название: Categories Of Algebraic Systems

Автор: Petrich M.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1976

Количество страниц: 217

Добавлена в каталог: 10.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\xi$-form      141
0-minimal ideal      24
0-simple semigroup      20
Adjoint of a semilinear transformation      13
Anisotropic scalar product      150
Annihilator      40
Antiautomorphism of a lattice      125
Antiautomorphism of a ring      122
Antiautomorphism of a semigroup      116
Antisemilinear isomorphism      142
Arguesian lattice      54
atom      51
Atomic lattice      177
Atomic ring      40
Atomistic      51
Autocollineation      131
Autocollineation associated with a correlation      132
Axially perspective triangles      89
Basis of a projective space      65
Bitranslation of a ring      40
Bitranslation of a semigroup      23
Canonical homomorphism of S into $\Omega(S)$      23
Category      7
Centrally perspective triangles      89
Closed left ideal      57
Collinear points      64
Collineation of $(N;\psi)$      131
Collineation of pairs of dual projective spaces      69
Collineation of projective spaces      66
Complement      73
Complemented lattice      73
Complete homomorphism      52
Complete lattice      52
Completely 0-simple semigroup      20
Component of a direct union      70
Composition of morphisms      7
Conjugate of a collineation      69
Conjugate of a semilinear transformation      14
Conjugate projective space      66
Conjugate vector space      13
Correlation      131
covers      51
Deficiency      51
Degenerate line      66
Dense extension      22
Desarguesian projective space      89
Determined (a line)      64
Dimension of a lattice      51
Dimension of a projective space      65
Direct factor of a lattice      52
Direct factor of a ring      41
Direct factor of a semigroup      24
Direct product of lattices      51
Direct product of rings      41
Direct product of semigroups      24
Direct sum      42
Direct summand      42
Direct union of pairs of dual projective spaces      70
Direct union of projective spaces      66
Directly irreducible (reducible) lattice      52
Directly irreducible (reducible) ring      41
Directly irreducible (reducible) semigroup      24
Distinguishes elements      66
Double covering condition      51
Dual atom      51
Dual atomistic      51
Dual of a lattice      68
Dual pair of vector spaces      12
Embedding      9
EQUIVALENCE      10
Equivalent categories      10
Essential extension of a ring      40
Essential extension of a semilattice      185
Extension      22
Faithful functor      8
Fano’s condition for lattices      52
Fano’s condition for projective spaces      66
Full functor      8
Full subcategory      8
functor      8
Green H-equivalence      29
Group with zero      21
Height      51
Hermitian scalar product      148
Hyperatom      51
Hyperplane of a projective space      66
Hyperplane of a vector space      17
Ideal extension of a ring      40
Ideal extension of a semigroup      22
Ideal extension of a semilattice      185
Identity functor      9
Identity morphism      8
Identity of a lattice      51
Identity semilinear transformation      13
Incidence space      64
incident      64
Induced collineation      93
Inner automorphism      148
Inner bitranslation of a ring      40
Inner bitranslation of a semigroup      23
Inner left translation of a ring      40
Inner left translation of a semigroup      23
Inner part of the translational hull      23
Inner right translation of a ring      40
Inner right translation of a semigroup      23
Inverse of a morphism      8
Involution of a lattice      127
Involution of a ring      122
Involution of a semigroup      119
Irreducible component of a projective space      67
Irreducible pair of dual projective spaces      88
Irreducible projective space      66
Irreducible subprojective lattice      54
Isomorphic over      185
Isomorphism of $(L,\gamma)$      126
Isomorphism of $(R,\gamma)$      122
Isomorphism of $(S, \gamma)$      116
Isomorphism of categories      9
Isomorphism of objects      8
Left annihilator      56
Left socle      40
Left translation of a ring      40
Left translation of a semigroup      23
Lies (a point on a line)      64
Line      64 73
Linked translations      23
M-closed subspace      75
M-closure      75
Maximal dense extension      22
Maximal essential extension of a ring      40
Maximal subprojective lattice      176
Modular lattice      73
Morphism      7
Multiplication      29
Natural equivalence      9
Natural image      14
Natural isomorphism      14
Natural transformation      9
Neutral element      54
Nonidentical congruence      30
Normal completion      84
Object      7
Opposite ring      124
Orthocomplement      129
Orthocomplementation      129
Orthocomplemented lattice      129
Orthogonal sum of semigroups      20
Pair of dual projective spaces      68
Pair of dual vector spaces      12
Passes (a line through a point)      64
Perspective form a line      89
Perspective form a point      89
Point      64 73
Poset isomorphism      176
Preserves incidence      66
Primitive idempotent      20
Primitive regular semigroup      20
Projective lattice      180
Projective space      64
Proper congruence      29
Proper correlation      139
Proper involution of a ring      122
Proper involution of a semigroup      120
r-maximal completely 0-simple ri-semigroup      169
r-maximal simple atomic ring      172
Rees congruence      24
Rees matrix representation      21
Rees matrix semigroup      21
Regular linear system      14
Regular semigroup      20
Representative functor      8
Ri-semigroup      169
Right annihilator      56
Right socle      40
Right translation of a ring      40
Right translation of a semigroup      23
Scalar product      141
Semilinear isomorphism of pairs of dual vector spaces      27
Semilinear isomorphism of vector spaces      27
Semilinear transformation      12
Semisimple ring      40
Similitude      141
Simple ring      41
Skew-hermitian scalar product      148
Socle      40
Subcategory      8
Subdirect product of lattices      52
Subdirect product of rings      41
Subdirect product of semigroups      30
Subdirectly irreducible (reducible) lattice      52
Subdirectly irreducible (reducible) ring      41
Subdirectly irreducible (reducible) semigroup      30
Subprojective lattice      52
Subspace of a projective space      65
t-subspace (total subspace)      14
Topological vector space      17
Translational hull of a ring      40
Translational hull of a semigroup      23
triangle      89
Trivial semigroup      20
Uniquely a “composition” of algebras in $\mathfrak{C}$      22
Up-directed partially ordered set      177
Upper continuous lattice      177
Weak topology induced by F      17
Weakly hermitian scalar product      141
Weakly reductive semigroup      23
Weakly topologized vector space      17
Zero of a lattice      51
Zero ring      41
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