Cao Z.-Q., Kim K.H., Roush F.W. — Incline algebra and applications :: Электронная библиотека попечительского совета мехмата МГУ

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Cao Z.-Q., Kim K.H., Roush F.W. — Incline algebra and applications

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Название: Incline algebra and applications

Авторы: Cao Z.-Q., Kim K.H., Roush F.W.

Аннотация:

This is the first attempt to collect published and unpublished results on
incline algebra, which encompasses Boolean algebra and fuzzy algebra.
In order to read this monograph, the reader should have had the usual
first year graduate courses in mathematics plus an elementary knowledge of combinatorial theory, graph theory, lattice theory, matrix theory (including the Boolean and fuzzy cases), semi-group theory, and
semiring theory.

Язык:

Рубрика: Математика/Алгебра/Комбинаторика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 165

Добавлена в каталог: 08.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

, ,       42 84
$\pi$ -incline      12
$\sigma$ -algebra      83
Antiautomorphism      57
Antiincline      61 154
Asymptotic form      123
Basis      32 63
Basis, Semilattice      34
Basis, standard      32 44 64
Belt      22
Blog      22
Chain condition      7 69 75
Clustering      148
Column basis      73
Column rank      33
Column space      33
Combinatorial semigroup      125
Complexity, group-theoretic      124
Congruence      4 9
Continuous Hasse diagram      88
Convergence      100
Convex cone      88
Convex function      100
CYCLE      47
Cyclic incline      4
Decidability      78
Derivative      100
Directed set      107
Doubly stochastic matrix      157
Dual antiincline      74
Dynamic programming      145
Eigenvalue      108
Eigenvector      108
Extension of functionals      106
First countable topology      82
Fuzzy algebra      19
g-decomposable      49
Generalized inverse      49
Generation      4
Generators      4
Generators and relations      9
Greatest subinverse      54
Green's relation      34
Group      70
Group choice      137
Hausdorff topology      81
Hilbert space      103
Homeomorphism      5
Homotopy      85
i-basis      32
Ideal      4 62
Idempotent      41 47
Identity      27
Incline      1
Incline, Compact      86
Incline, Cyclic      4
Incline, Finitely generated      18
Incline, Integral      28
Incline, Linearly representable      18
Incline, Metric      35
Incline, Nil      13
Incline, Noncommutative      6
Incline, Quotient      5
Incline, Type I      44
Indecomposable matrix      109
Independence of irrelevant alternatives      138
INDEX      88 113
Integral equation      102
Inverse      30 66
Jar metric principle      148

Lattice      8
Lattice,Distributive      2 115 117
Least squares g-inverse      57
Linear functional      105
Linear system      132
Linearly dependent      32 44
Linearly independent      32
m-simple      65
machine      137
Measurable function      101
Measure      83 100
Minimum norm g-inverse      57
Module      136
Module, free      136
Moore — Penrose inverse      56
Net      107
Neutrality      139
Nonsingular matrix      42
One parameter semigroup      92
Pareto optimality,Path algebra      22
Period      114
Period Order      114
Permanent      157
Permutation matrix      28
Quadratic form      102
Quotient      4
Rank      46
Regularity      41
Relations      9
retract      88
Row basis      33
Row nonempty matrix      75
Row rank      33
Row space      33
Schein rank      128
Semidirect product      72 124
Semilattice      3 82 87
Semiring, Idempotent      2
Semiring,Positive      29
Semiring,Semigroup      72
Semiringof endomorphism      72
Semiuniform convergence      104
Shift equivalence      122
Shortest path      145
simplex      85
Simplicial complex      84
Simplicial Hasse diagram      89
Social welfare function      138
span      32 63
Square      92
Subincline      4
Subinvetse      54
subspace      32
symmetric      57
Thoneson condition      20
Topology product      104
Topology,Weak      103
TRANSPOSE      26
TREE      85
Universal matrix      27
Vagner — Thierrin inverse      55
Variety      77
Vector space      63
Vector space, subspace      63
Vectors      25
Vectors, column      2 7
Vectors, row      2 7
Words      61
Wreath product      124
Zero      27

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