Pilz G. — Near-rings: the theory and its applications :: Электронная библиотека попечительского совета мехмата МГУ

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Pilz G. — Near-rings: the theory and its applications

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Название: Near-rings: the theory and its applications

Автор: Pilz G.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 1983

Количество страниц: 470

Добавлена в каталог: 14.11.2010

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

Предметный указатель

Homomorphic GA      386
Homomorphic GSA      379
Homomorphism      15
Homomorphism theorem      17
I(n)      184
I, $\tau$       111
Ideal      15 16
Idempotent element      10
Identity      10
IFP      288
Incidence group      263
Incidence space      261
Incidence structure      261
Incomparable      334
Incomplete design      279
Indecomposable      53 218
Independence      31 110
Inductive Moore-system      2
Inner automorphism      399
Input set      378
Insertion-of-factors-property      288
Integral nr.      305
Internal direct sum      45
Interpolation      133
Invariant sequence      52
Invariant subnear-ring      18
Inverse well-order      3
Invertible elements      10
Isomorphic decompositions      59
Isomorphic sequences      52
Isomorphism theorems      17 45
Jordan — Hoelder theorem      52
Jordan — Hoelder theory      53
k-tame      352
Ker h, Im h      15
Kernel of a near-field      253
Kernel-free      35
Klein's four group      407
Krull — Schmidt-Theorem      353
Kurosh — Amitsur radical      143
L || M      261
l(n)      400
L-near-ring      289
Laminated near-ring      399
Lattice-ordered near-ring      343
Left ideal      15
Left near-ring      7
Length of a sequence      52
Length of a series      397
Lexicographic order      338
Linear automaton      386
Linear polynomial      219
Linear semiautomaton      380
Linear sequential machine      386
lines      261
Local near-ring      400
Local polynomial function      238
Locally affine complete      239
Locally polonomially complete      239
Loop near-ring      396
Lower nil radical      166
LP(A)      238
m-system      65
Maximal ideal (...)      20
Maximum condition      3
Metacyclic      244
Minimal automaton      389
Minimal ideal (...)      20
Minimal non-nilpotent      95
Minimal prime ideal      64 65
Minimum condition      3
Modular      84 166
Modular law      48
Monogenic      75
Monotone element      343
Moore-system      2
n-distributive      397
N-group      13
N-homomorphism      15
N-series      397
N-simple      19
n-system      398
N/I, $\Gamma/\Delta$       16
Near-algebra      41
Near-domain      247
Near-field      11
Near-integra1 domain      298
Near-module      13
Near-ring      7
Near-ring of quotients      26 28
Nearly constant      337
nf.      11
nid.      310
NIL      69
Nil group      323
Nil radical      160 166
Nilpotent element      7 69
Nilpotent subset      69
Noetherian quotient      20
Non-field      11
Non-generator      119
Non-ring      11
Non-trivial integral nr.      306
Normal endomorphism      214
Normal near-field      264
Normal sequence      52
Normed polynomial      219
nr.      8
N[x], V[x]      217
Odd element      342
Orbit      9
Order-preserving map      335
Ordered near-ring      333
Ore condition      26
Orthogonal idempotents      91
Output function      386
Output set      386
P(A)      233
P(I)      68
p-chain      245
p-near-ring      298
p-singular near-ring      400
p.o., f.o.      334
Pair of Dickson numbers      256
Parameters of a BIBD      279
Partial order      333
Peirce-decomposition      11
Perfect group      169

Permutation polynomial      245
Planar near-field      265
Planar near-ring      269
Plane      262
POINTS      261
Polynomial      215
Polynomial function      216 217
Polynomially complete      219 239
Positive cone      334
Positive definite      343
Prime ideal      62
Prime near-ring      63
Prime radical      68 161
primitive      103 105
Principal orbit      275
Principal sequence      53
Productive near-field      265
Projective plane      261
Projective space      262
Proper k-tupel      258
Proper refinement      53
Pseudo integral domain      288
Pseudo-distributive      397
Q(n)      101
Q-radical      165
Quasiregular      89
Quaternion group      418
Quotient near-ring      28
Quotients      26
R-independent      110
Radical (map)      140 143
Radical subgroup      165
Rank map      110
Rank of a map      202
Reduced automaton      389
Refinement of a sequence      52
Regular near-ring      345
Regular permutation      258
Residually finite      395
Right distributive law      7
Right ideal      15
Right identity modulo L      84
Right invariant subnear-ring      192
Right near-ring      7
Ring-free      353
rk(m)      202
Rs(N)      165
R[x], P(R)      216
R[[X]]      247
S      378
s(0)      161
S(N)      165
s-primitive      105 165
Saturated polynomial      225
Semi-linear map      194
Semiautomaton      378
Seminear-ring      41
Semiprimary nr.      392
Semiprime ideal      66
Semiprime near-ring      67
Semiring      290
Semitame      436
Sequential function      387
Series connection      387
Sharply transitive      258
Sheaf      401
Similar multiplications      322
SIMPLE      19
Small      337
Socle      80 187 358
sp-system      67
Special Boolean near-ring      301
ST, $S^{n}$       61
Stabilizer      258 365
Stalks      401
State set      378
State-transition function      378
Strictly maximal      86 168
Strictly minimal      368
Strictly ordered      341
Strictly prime      68
Strictly primitive      186
Strong IFP      276
Strongly monogenic      75
Strongly regular      348
Strongly uniform      284
Subdirect product      24
Subdirectly irreducible      25
subspace      261
Sum of ideals      44
Sum rule      245
Syntactic near-ring      379 386
Tactical configuration      279
Tame      187 350
TO-ideal      222
TOA      41
Topological dgnr.      187
Transitive      258
Translation      265
Tri-operational algebra      41
Trivial ideal      16
Trivial integral near-ring      306
Trivial multiplication      8
Trivial order      334
Trivial subdirect product      25
Type $\nu$       77
Type 3      80
Type I...IV      290
Ultrafilter      403
Ultraproduct      403
Unitary      14
UNITS      184
Upper nil radical      161 166
V*/K*      263
V, T      227
Vector near-ring      343
Weak commutativity      289
Well-ordered set      3
Z(N), D(N)      399
Z-distributivity      310
Zassenhaus-criterion      256
Zero divisor      10
Zero set      200
Zero-symmetric near-ring      10
Zero-symmetric part      10
Zero-symmetric polynomial      221
|a|      337
|N|      7
|p|      218

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