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McCoy N.H. — Rings and ideals
McCoy N.H. — Rings and ideals



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Название: Rings and ideals

Автор: McCoy N.H.

Аннотация:

The carus mathematical monographs are an expression of the desire of Mrs. Mary Hegeler Carus, and of her son, Dr. Edward H. Carus, to contribute to the dissemination of mathematical knowledge by making accessible at nominal cost a series of expository presentations of the best thoughts and keenest researches in pure and applied mathematics. The publication of the first four of these monographs was made possible by a notable gift to the Mathematical Association of America by Mrs. Carus as sole trustee of the Edward C. Hegeler Trust Fund. The sales from these have resulted in the Carus Monograph Fund,
and the Mathematical Association has used this as a revolving book fund to publish the succeeding monographs.


Язык: en

Рубрика: Математика/Алгебра/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1948

Количество страниц: 226

Добавлена в каталог: 09.03.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abelian group      10
Abstractly identical rings      72
Addition      1
Adjoint      157
Algebra of logic      138
Algebraic manifold      203
Annihilator      159
Ascending chain condition      193
Associative laws      1
Basis of an ideal      58
Boolean algebra      138
Boolean algebra, ring      140
Characteristic      24
Characteristic, ideal      163
Characteristic, polynomial      163
Commutative elements      9
Commutative elements, law      1
Commutative elements, ring      9
Complement      96
Complete direct sum      124
Congruence modulo an ideal      62
Congruence modulo an ideal, modulo an integer      28
Constant term      33 48
Contain      54 100
Degree      33 47 48
Direct sum      114 118
Distributive laws      1
Division ring      19
Division ring, transformation      36
Divisor of zero      14
Equality      27
Equivalence classes      29
Equivalence classes, relation      28
Factor Theorem      40
Field      21
Finite field      23
Fundamental theorem of algebra      86
Galois field      23
Greatest common divisor      42
Homomorphic image      68
Homomorphism      68
Ideal      52
Ideal, generated by an element      55
Ideal, generated by several elements      58
Ideal, of a manifold      203
Image of an element      68
Image of an element, of an ideal      76
Indeterminate      31
Integral domain      15
Intersection of sets      5
Intersection of sets, of ideals      77
Inverse      16
Inverse, image      76
Irreducible ideal      199
Irreducible ideal, manifold      205
Irreducible ideal, polynomial      44
Irredundant representation      184
Isolated component      192
Isolated component, primary component      193
Isomorphic image      70
Isomorphism      70
Jacobson radical      132 133
Kernel      74
Leading coefficient      33
Left factor (divisor)      40
Left factor (divisor), remainder      38
Linear system      101
Manifold      203
Manifold of an ideal      203
Matrix      151 158
Maximal element      100
Maximal element, ideal in a ring      80 100
Maximal element, prime ideal belonging to an ideal      110
Maximum principle      101
Meet      104
Minimal prime ideal belonging to an ideal      103
Minimum function      163
Monic polynomial      33
Multiplication      1
Multiplicative system      89
Nilpotent element      100
Noetherian ring      196
Noncommutative ring      9
Null ideal      162
One-to-one correspondence      70
p-ring      144
Polynomial      31
Primary ideal      180
Prime ideal      96
Prime ideal, ideal belonging to an ideal      182 190
Principal ideal      55
Product of elements      1
Product of sets      5 139
Proper divisor of zero      14
Quasi-regular element      132
Radical ideal      201
Radical ideal of a ring      124
Radical ideal of an ideal      99
Rank of a matrix      159
Reducible ideal      199
Reducible ideal, manifold      205
Reducible ideal, polynomial      44
Reflexive law      28
Regular ring      147
Related to an ideal      107 108
Remainder theorem      39
Representation as subdirectsum      128
Residue class      64
Residue class, class ring      64
Resultant      171
Right factor (divisor)      40
Right factor (divisor), remainder      38
Ring      1
Ring, of finite subsets      7
Ring, of integers modulo n      3
Ring, of matrices      8 153
Ring, of quotients      88 94
Ring, of real quaternions      8
Ring, of subsets      4 139
Root      40
Scalar matrix      153
Short representation      191
Skew field      19
Solution      202
Subdirect sum      121
Subdirectly irreducible      128
Subdirectly irreducible, reducible      128
Subring      2 52
Subset      4
Sum of elements      1
Sum of ideals      78
Sum of sets      5 139
Symmetry, law of      28
Term      47
Transitive Law      28
Two-sided ideal      53
Union of ideals      77
Union of sets      100
Unit element      15
Unrelated to an ideal      108
Void set      5
Zero element      10 11
Zero element, ideal      53
Zorn's lemma      101
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