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

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
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Предметный указатель
$(..., a_{i},...)$      1
$(P_{0}),..., (P_{4})$      289
$(\Delta)$, $<\Delta>$      231
$(\Delta_{1}:\Delta_{2})$, $(0:\Delta)$      20
$1_{a}$, $B_{a}$      269
$A(\Gamma)$, $I(\Gamma)$      172 206
$A^{*}, s_{q}, s_{A}$      387
$A^{V}[x]$      233
$A^{\#}$, $N(S^{\#})$      384
$A_{0}^{V}[x]$      234
$A_{\infty}$ ,$D_{\infty}$      329
$C(\gamma)$      206
$c_{0}$      127
$C_{1}$, $C_{2}$ - near-ring      297
$C_{1}(N)$      277
$C_{N}(\Gamma)$      106
$C_{\lambda}$-modular left ideal      166
$C_{\lambda}(N)$      165
$dim_{H}(\Gamma)$      192
$dim_{M}N$      254
$D_{2n}$      329
$E(\Gamma)$      12 171
$End(\Gamma)$, $Aut(\Gamma)$      207
$e_{i}$      189
$e_{\delta}$, $L_{\delta}$, L      197
$e_{\gamma}$      367
$f/_{A}$      1
$F[x^{2}]$      226
$f_{a}$      378
$F_{D, V}$      180
$F_{N}(\Gamma)$      106
$G^{\Delta}$      119
$g_{0}$, $A_{a}$, $Q_{a}$      389
$G_{0}$, $G^{0}$, $G^{0}_{0}$      106
$Hom_{N}(\Gamma , \Gamma^{'})$, $\Gamma\cong_{N}\Gamma^{'}$      15
$Inn(\Gamma)$      207
$I_{\Gamma}$, $(I_{\Gamma})^{2}$      260
$J_{-3}(N)$      164
$J_{3}$      167
$J_{3}(N)$      143
$J_{\nu}(N)$      136 137
$K_{\Gamma}$      267
$L_{a, b}$      265 266
$L_{C}$      266
$L_{i}$, L      190
$L_{n}P(A)$      238
$L_{r}(N), m(0)$      161
$L_{z}$      89
$L_{\Delta}$      369
$M(\Gamma)$, $M_{0}(\Gamma)$, $M_{C}(\Gamma)$      8
$m^{(i)}$, $E^{(i)}(\Gamma)$      209
$M^{0}_{C}(\Gamma)$, $M_{S}(\Gamma)$      8
$M^{0}_{H}(\Gamma)$      188 189
$M_{aff}(\Gamma)$      9
$M_{a}(\Gamma)$      313
$M_{cont}(\Gamma)$, $M_{diff}(\mathds{R})$      8
$N \hookrightarrow N^{'}$      15
$N \rightarrow N^{'}$, Hom(N, N')      15
$N(S)$      379
$n\|n^{'}$      334
$N^{\Gamma}$, $N^{g}$      13
$N^{\not{|||}}$      269
$N_{0}(S)$      382
$N_{a}$      399
$N_{S}$      26
$P_{0}(A)$      234
$P_{1}$-ring      298
$P_{\leq}$      334
$q \sim q^{'}$      388
$R_{0}[x]$, $R_{C}[x]$      221
$R_{0}[[x]]$      338
$S(\Gamma)$      350
$soc(\Gamma)$      358
$st(\gamma)$      365
$S_{n}$, $A_{n}$      2
$T_{2}(N)$      259
$U_{A}(\Gamma)$      376
$w_{n}$, $\sim_{V}$, $w_{\Gamma}$      30
$Z_{m}$      200
$Z_{n}$      2
$\alpha$-near-ring      297
$\ast_{t}$      276
$\bar{g}$      183
$\bar{L}_{i}$      88
$\bar{M}_{H}(\Gamma)$      112
$\bar{o}$      8
$\beta$-near-ring      290
$\cdot_{\phi}$, $N^{\phi}$      255 405
$\emptyset$, $2^{A}$, A\B      1
$\equiv$      268
$\eta$      8
$\eta(N)$, $J_{-1}(N)$      160
$\eta_{0}$, $\eta_{C}$, $\eta_{1}$, $N_{d}$      10
$\forall$, $\exists$, ${\not{\exists}}$      1
$\gamma(N)$, $J_{-2}(N)$      161
$\Gamma[x]$, $P(\Gamma)$      216
$\Gamma_{0}[x]$      231
$\Gamma_{m_{1},...,m_{k}}$      258
$\gamma|\delta$, $\gamma\sim\delta$      366
$\hookrightarrow_{0}$, $\cong_{0}$      335
$\imath:B \rightarrow A$      1
$\lambda$-complete      165
$\mathbb{N}$, $\mathbb{N}_{0}$, $\mathbb{P}$, $\mathbb{Z}$, $\mathbb{Q}$, $\mathbb{R}$, $\mathbb{C}$      1
$\mathcal{R}$      216
$\mathcal{R}$-radical      140
$\mathcal{R}$-semiprime      140
$\mathscr{L}(\Gamma)$, $\mathscr{L}$      200
$\mathscr{L}_{\nu}(N)$      86 143
$\nu$-modular      86
$\nu$-prime      72
$\nu$-primitive ideal      103
$\nu$-primitive near-ring      103
$\nu$-radical      136
$\nu$-semisimple      145
$\omega$      19
$\Omega$-composition group      42
$\oplus$      172
$\overline{pq}$      261
$\phi^{\cdot}$, $\cdot_{\phi}$      322 405
$\phi_{\gamma}$      321
$\Pi N_{i}$, $\oplus N_{i}$, $\bar{N}_{i}$      24
$\pi$-regular      431
$\Sigma A$      393
$\Sigma I_{k}$      44
$\Sigma^{\bullet}I_{k}$      45
$\sim$, $\approx$      109
$\subset$, $\subseteq$      1
$\tau_{\Delta}$      375
$\Theta_{0}$, $\Theta_{1}$      107
$\trianglelefteq_{\ell}$, $\trianglelefteq_{r}$, $\trianglelefteq$, <, $\trianglelefteq_{N}$      16
$\underset{\mathfrak{F}}{\prod} N_{i}$      402
(D)      116
(J), <J>      222
(N)      62
(N, D)      171
(N, D)-(N', D')-homomorphism      180
(N, D)-group      182
<<      337
A(X, V)      215
A*      1
A, A'      387
a.a.n.r.      313
Abelian near-ring      11
Abstract affine near-ring      313
Accessible      385
Accessible part      389
Addition of the first type      172
Addition of the second type      172
Affine complete      239
Affine map      9
Affine plane      261
Almost small      292
Annihilator      20
Antichain      327
Antilexicographic order      338
Antitone element      343
Archimedian order      337
Ascending chain condition      3
Associated isomorphism      194
Associated ring      401
Aut(N),Inn(N)      399
Automaton      386
Baer radical      68 139 233
Balanced block design      279
Base      31 262
Base of equality      34
Basic block      276
Betsch's lemma      366
BIBD      279
Bicentralizer near-ring      361
Biregular      94
Block      276 279
Boolean near-ring      300
Boolean semiring      290
C(a)      235
C(i, k)      325
C(N)      253
C-Z-decomposable      398
C-Z-transitive      398
Cancellable element      10
Cancellation law      11
Cebyshev polynomial      246
Center      253
Central idempotent      91
Central N-subgroup      397
Central product      398
centralizer      106 361
Chain      246
Chain rule      245
char N      251
Characteristic      251
Characterizing series      397
Class $\lambda$      165
Cleavable near-ring      342
Cocritical      402
Coll (P)      262
Collineation      262
Commutative near-ring      11
Compatible      235 240
Compatible triples      119
complete      279 324 399
Complete block design      279
Complete groups      324
Complete near-ring      336 399
Completely non-abelian      355
Completely reducible      54
Composition ideal      222
Composition ring      41
Composition sequence      53
Conjugate chain      246
Constant near-ring      10
Constant part      10
Constant polynomial      221
Convex      333
Coupling map      243 399
Critical      402
D(n; n', n")      316
D-group      182
D-near-ring      295
D-ring      312
DCC, ACC      3
DCCI, DCCL, DCCN...      50
Decomposable      53
Degenerated      261
Derivation      245 255 399
Desarguesian      262 263
Descending chain condition      3
dg.      171
dgnr.      11 171
Dickson group      255
Dickson near-field      12 255
Dickson near-ring      399
Dickson numbers      256
Dihedral group      415
dim P      262
DIMENSION      262
Direct complement      46
Direct product      24
Direct sum      24 45
Direct summand      46
Distributive element      10
Distributive near-ring      11
Distributive sum      49
Distributively generated near-ring      11 171
distributor      316 396
divides      366
Division dgnr.      187
Duo (near-)ring      290
Efficiency of a BIBD      279
Embeddable      15
Enclosing ideal      223 232
End $\Gamma_{n}$      171
Endomorphism near-ring      171
Equivalent elements      366
Equivalent multiplier      268
Equivalent states      388
Even element      342
External direct sum      24
F(M)      110
F-near-ring      343
Factor N-group      16
Factor near-ring      16
Factor of a sequence      52
Faithful N-group      21
Field      2
Filter      402
Finite interpolation property      133
Finite topology      111
First category      277
Fisher's Inequality      280
Fixed-point-free      9 363
Formally real      343
Free abelian near-ring      30
Free N-group      29
Free near-ring      29
Frobenius group      267
Frobenius kernel      267
Full ideal      222
Fully generating      401
Fully ordered      332
G(n)      164
g-radical      164
G-regular      165
GA      386
Generalized dgnr.      187
Generalized near-ring      320
Generalized polynomial      247
GENERATED      2 23
Generator      75
Group-automaton      386
Group-semiautomaton      378
GSA      378
GSA-homomorphism      385
H(Na)      376
H-base      192
H-dimension      192
H-group      192
H-monogenic      398
Hereditary class      143
Holonomy group      376
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