Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Rosenfeld A. — An introduction to algebraic structures
Rosenfeld A. — An introduction to algebraic structures



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: An introduction to algebraic structures

Автор: Rosenfeld A.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1968

Количество страниц: 293

Добавлена в каталог: 17.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Absorbent element      109 224
Addition modulo m      143
Addition of cardinal numbers      84
Addition of integers      131
Addition of natural numbers      15
Addition of rationals      133
Algebra      228
Algebraic closure      247
Algebraic element      245
Algebraically independent set      249
Algebroid      228
Annihilate      120
Argument      9
Associate of an element      123
Associate over      226
Associate with      225
Automorphism      93
Automorphism, inner      141
Axiom of Choice      10 36
Base      24
Basis      231
Bernstein — Cantor theorem      82
Bigroupoid      205
Binomial theorem      207
Bound, greatest lower (inf)      30
Bound, greatest lower (inf), least upper (sup)      30
Bound, greatest lower (inf), lower      29
Bound, greatest lower (inf), strict      30
Bound, greatest lower (inf), upper      29
Cancellable element      112 224
cardinal number      80
Cardinality      80
Cauchy's theorem      165
Center      152 246
centralizer      152 214
Chain      26
Chain, ascending      32
Chain, descending      32
Characteristic      211
Chinese remainder theorem      144
Class equation      166
Coefficient      208
Commutator      153 212
Commute (with)      151 225
Composite      115
composition      88
Composition of relations      8
Composition series      103
Composition, associative      114
Composition, commutative      114
Composition, external      222
Composition, n-ary      203
Composition, table      89
Composition, unary      222
Composition, unitary      226
Congruence      94 204 223
Congruence class      94
Congruence, supplemented      105
conjugate      152
Conjugate class      152
Contain, be contained in      2 3
Content      220
Coset      138
Degree of a field over a subfield      247
Degree of a polynomial      208
Denominator      133
Difference      15
DIMENSION      36
Disjoint      3 5
Distribute (over)      205 225 226
Divide      23 122
Division      24
Division of rationals      133
Division ring      211
Divisor      23 122
Divisor of zero      210
Domain      210
Domain of a function      8
Element      1
Endomorphism      93
Equality      1 7
EQUIVALENCE      65
Equivalence class      67
Equivalence, supplemented      79
Euclidean algorithm      218
Euler — Fermat theorem      164
EXPONENT      25
Exponentiation of cardinal numbers      87
Exponentiation of natural numbers      25
Factor      23 122
Factor, direct      104
Factorial      25
Field      211
Field of quotients      215
Field, algebraically closed      248
Field, normal over a subfield      262
Field, perfect      257—258
Field, splitting      251
Finite cardinal number      81
Finite dimensional ordered set      37
Finite dimensional vector space      234
Finite division ring, domain      252—255
Finite field      249—251
Finite groupoid      154
Finite semigroup      161
Finite set      21
Finite vector space      235
Finitely generated abelian group      178—181
Finitely generated element of an I-lattice      63
Finitely generated field      246 256—257 259—261
Finitely generated group      156 160—161
Finitely generated groupoid      154
Finitely generated vector space      234
FRACTION      133
Fraction, lowest terms of      133
Function      8
Function, canonical      69
Function, choice      10
Function, constant      9
Function, embedding      9
Function, identity      9
Function, one-to-one      11
Function, onto      11
Function, order preserving      28
Function, polynomial      209
Function, restriction      9
Fundamental Theorem of Arithmetic      127
Fundamental Theorem of Galois Theory      264
Fundamental theorem on abelian groups      178
Gauss' lemma      220
Generate      63
Greater than      17 81
Greatest common divisor      41 127
Greatest element      30
Group      120
Group of quotients      130
Group of type, $p^{\infty}$      190
Group of units      121
Group with operators      227
Group, abelian      120
Group, alternating      169
Group, aperiodic      184
Group, cyclic      157—158
Group, derived      153
Group, divisible      190
Group, factor      137
Group, Galois      262
Group, hamiltonian      198
Group, indecomposable      168
Group, locally cyclic      194
Group, periodic      184
Group, quaternion      198
Group, simple      167
Group, solvable      176
Group, symmetric      168
Groupoid      90
Groupoid with operators      227
Groupoid, indecomposable      105
Groupoid, trivial      90
Groupoid, underlying      227
Hausdorff's theorem      36
Homomorphism      92 203 224
Homomorphism, canonical      96
Homomorphism, substitution      208
I-lattice      62
I-tuple      74
Ideal      91 214
Ideal, maximal principal      124
Ideal, prime      125
Ideal, principal      120
Idempotent element      90 108
Identity (element)      109 224
Image      8
Image, homomorphic      93
inclusion      2 7
Independent set in a lattice      44
Independent set in a vector space      230
Independent set in an Abelian group      178
Independent set with respect to an I-lattice      64
INDEX      162
Inductive set      35
Infinite cardinal number      81
Infinite order      163
Infinite set      21
INTEGER      131
Integer, negative      131
Integer, nonnegative      15 131
Integer, positive      131
Intersection      3 4
interval      30
Inverse of a relation      7
Inverse of an element      112
Invertible element      112
Irreducible element      124
Isomorphism      92 204
Jordan — Hoelder theorem      53 103
Kernel of a congruence      109
Kernel of a homomorphism      109
Krull — Schmidt theorem      61 145
Lagrange's theorem      162
Lattice      41
Lattice, complete      41
Lattice, distributive      50
Lattice, modular      50
Lattice-finite division ring, domain      273—274
Lattice-finite field      256—257
Lattice-finite group      156 161
Lattice-finite groupoid      154
Lattice-finite ring      272—273
Lattice-finite semigroup      161
Lattice-finite vector space      235
Law      115 226
Law of cancellation      15 23
Law of dichotomy      26
Law of trichotomy      28
Law, general associative      115 226
Law, general commutative      115 226
Law, general distributive      205 226
Laws of exponents      116 137
Least common multiple      41 129
Least element      30
Length      36
Less than      17
Linearly disjoint      259
Lueroth's theorem      258
Matrix      209
Matrix, scalar      210
Maximal element      31
Maximum condition      33
Minimal element      31
Minimum condition      33
Module      228
Module, unitary      228
Moduloid      227
Monogenic division ring, field      244—245 256—259
Monogenic element of an I-lattice      63
Monogenic group      157—158
Monogenic groupoid      154
Monogenic ring      244
Monogenic semigroup      156—157
Monogenic semiring      244
Monogenic vector space      230 234
Monoid      117
Multiple      23 122
Multiplication modulo m      85
Multiplication of cardinal numbers      144
Multiplication of integers      132
Multiplication of natural numbers      23
Multiplication of rational numbers      132 133
n-tuple      18
Natural number      14
Nilpotent element      120
Nilpotent subset      120
Nonnegative integer      15
Normal series      102
Normal subset      98
Normal sugroupoid      101
Number of elements in a set      21
Number, cardinal      80
Number, natural      14
Numerator      133
One-to-one correspondence      11
Order isomorphism      28
Order of a group      162
Order of an element      163
Order relation      26
Order relation for cardinal numbers      81—84
Order relation for integers      131
Order relation for natural numbers      17—18
Order relation for rationals      133
Ordered pair      5
Ordered set      26
p-group      184
Permutation      12
Permutation, even, odd      169
PL-semigroup      129
Polynomial      208
Polynomial, constant      208
Polynomial, cyclotomic      255
Polynomial, in n indeterminates      209
Polynomial, minimal      246
Power series      208
Power, Cartesian      18 75
Power, direct      104
Preimage      10
Preimage, homomorphic      94
Prime division ring, field      243
Prime element of a semigroup      124
Prime group      156 160 163
Prime groupoid      154
Prime natural number      24
Prime ring      242 243
Prime semigroup      158—159
Prime semiring      240—242
Prime vector space      230
Primitive polynomial      220
Primitive root of $x^{n}-1$      264
Primitive set of endomorphisms      238
Product of cardinal numbers      85
Product of natural numbers      23
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте