Anderson Daniel — Factorization in integral domains :: Электронная библиотека попечительского совета мехмата МГУ

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

Авторизация

Поиск по указателям

Anderson Daniel — Factorization in integral domains

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Factorization in integral domains

Автор: Anderson Daniel

Аннотация:

Based on the recent proceedings of the University of Iowa's Conference on Factorization in Integral Domains and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City, this outstanding volume gathers, for the first time in a single source, current work on factorization in integral domains and monoids and the theory of divisibility;emphasizing possible different lengths of factorizations into irreducible elements.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 433

Добавлена в каталог: 28.03.2010

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

Предметный указатель

ACCP      4 24
Algebra, finitely generated      335
Algebra, Rees      361
Algebra, symmetric      208
Arithmetical (order) formation      95 149
Associates      199 203
Binary n-tics      257
Bond product      287
bonds      285
Brandis's Theorem      160
Cash flow      285
Chebotarev density      95 345
Closure, $Q_{0}$ -integral      406
Closure, complete integral      75 352 404
Closure, generalized integral      349
Closure, integral      376
Closure, pseudo-integral      352
Closure, root      75 417
Closure, stable      362
CP-property      191
Cross number      102
CZP-axioms      385
DM construction      5 306
Davenport constant      7 10 45 98 119 230 244
Degree, catenary      117
Degree, tame      123
Dickson's Finiteness Theorem      35
Dimension, Krull      425
Dimension, weak global      306
Divisor theory      76
Domain 1-split      322
Domain, almost Bezout      371
Domain, almost GCD      371
Domain, almost generalized GCD      372
Domain, almost Pr $\ddot{u}$ fer      371
Domain, analytically irreducible      20 68 302
Domain, atomic      1 9 172 194
Domain, Bezout      159 181
Domain, bounded factorization      4 173
Domain, Cohen — Kaplansky (CK)      17 165 229
Domain, coherent      311
Domain, Dedekind      3 13 76 81
Domain, divided      306 323
Domain, finite conductor      311
Domain, finite factorization (FFD)      36 173 235
Domain, GCD      189 371
Domain, generalized Cohen — Kaplansky      17 173 229
Domain, generalized GCD      371
Domain, going down      319
Domain, half-factorial (HFD)      1 11 16 173 291
Domain, Henselian      317
Domain, integrally closed      297
Domain, Krull      5 11 53 78 221 224— 294
Domain, locally divided      323
Domain, Mori      222
Domain, noetherian      169 293 417
Domain, one-dimensional Noetherian      20 37 44 59 61 67 81 150 166 176 302 422
Domain, Pr $\ddot{u}$ fer      295
Domain, Pr $\ddot{u}$ fer v-multiplication      380
Domain, pseudo-valuation (PVD)      300 305
Domain, rationally bounded factorization      4
Domain, strong finite factorization      36 235
Domain, valuation      317 355
Domain, weakly factorial      18 177
Domain, weakly Krull      18 50 54 113
Elasticity      1 3 33 64 127 228 244
Elasticity, accepted      33 40
Elasticity, realized by a factorization      3 6 18 230 247
Elasticity, regular      213 218
Extension, almost integral      401
Extension, bi-rational      384
Extension, CPI      306 317
Extension, Galois      344
Extension, going down      318
Extension, LCM-stable      377
Extension, ring      296
Extension, root      376
Extension, separable      334
Extension, t-linked      352
Field, cubically closed      252
Field, global      80 149 161
Field, quadratically closed      23 250
Frobenius Number      21 239 244
Function, $\mu_{k}$       85 106
Function, bounded      8
Function, distance      116
Function, length      8 214
Function, norm      95 149
Function, price-discount      286
Function, price-yield      285
Function, semi-length      8 64 229 246
Function, Zaks — Skula      9 12
Fundamental theorem of elasticity for Krull domains      11
Gauss's lemma      189
GL-property      190
Group of divisibility      155 160 162 164
Group, abelian      99 1 19
Group, class      45 55
Group, divisor class      3 11 14 76 90 216 294
Group, genus class      333
Group, ideal class      80
Group, Picard      18 239 334
Group, projective special linear      257
Group, restricted genus class      336
Group, t-class      18 50 178 379
Homomorphism, block      49 92
Homomorphism, divisor      44 76
Homomorphism, factorization      33 83 115
Ideal, *-ideal      221 222
Ideal, *-invertible      221
Ideal, divided      308 318
Ideal, flat      305

Ideal, k-th coefficient      360
Ideal, monomial      368
Ideal, prime      327
Ideal, Ratliff — Rush      359
Ideal, semi-regular      402
Ideal, t-invertible      221
Idealization      208 216
IP-property      190
Irreducible      199 205
Lattice point      35
Macaulay      361
Module, atomic      206 210
Module, bounded factorization      206
Module, factorable      211
Module, factorial      211
Module, flat      305
Module, half-factorial      206
Module, presimplifiable      203
Module, torsion-free      210 333
Module, unique factorization      206 211
Monoid of fractional ideals      157 179
Monoid, arithmetical Krull      95
Monoid, atomic      25 32 83
Monoid, block      14 48 82 91 118
Monoid, bounded factorization      46
Monoid, d-congruence half-factorial      88
Monoid, factorization      33 83 115
Monoid, finite factorization      85
Monoid, finitely primary      42 118
Monoid, half-factorial      34 84
Monoid, Hilbert      78 95
Monoid, k-half-factorial      86
Monoid, Krull      77 118 215
Monoid, locally tame      124
Monoid, nearly unique factorization      37
Monoid, primary      43
Monoid, reduced      32 124
Monoid, saturated      44
Monoid, tame      124
N-chain (of factorizations)      117
Numerical semigroup      21 65 244
Order      19 81 90 95 152
Order, ring      335
Polyhedra      35 40
Polynomial      286
Polynomial, binomial      273
Polynomial, Hilbert      360
Polynomial, integer-valued      271
Polynomial, primitive      189 205
Polynomial, superprimitive      189 205
Polynomial, with unit content      295
Prime Avoidance Theorem      327
Projective line      257 384
PSP-property      190
Pullback      164 178 312 317 335
R(X)      401
R-lattice      335
R-primitive      204
R-superprimitive      204
Realizable pair      14
Ring of finite fractions      402
Ring of integer-valued polynomials      24 272
Ring of invariants      259
Ring, AB      411
Ring, atomic      167 200
Ring, atomic idf      201
Ring, Bass      341
Ring, bounded factorization      201
Ring, coordinate      333
Ring, factorial      213 217
Ring, finite factorization      201
Ring, finite product      167
Ring, graded      419
Ring, half-factorial      201
Ring, holomorphy      81 95 149
Ring, Kronecker function      356
Ring, Krull      78 215
Ring, Marot      78 215 217
Ring, Noetherian      333 363 383
Ring, one-dimensional      295 333
Ring, polynomial      12 20 189 202 227 271 286 291 359 383 401
Ring, power series      20 202 227 243 286
Ring, presimplifiable      199
Ring, r-atomic      213
Ring, r-bounded factorization      213
Ring, r-finite factorization      213
Ring, r-half-factorial      213
Ring, reduced      405
Ring, seminormal      418
Ring, unique factorization      201
Ring, von — Neumann regular      408
Ring, weak finite factorization      201
Ring, zero-dimensional      328
Separable base change      333
Sequence, basis      130
Sequence, suitable      132
Sequence, zero      100
Set of distances of successive lengths      88
Set of lengths      33 62 84
Set, $\Phi$ -finite      4 15 24
Set, CZP      385
Set, factorization      26
Spectrum      329 383
Star-operation      221 350 372
Star-operation, eab      356
Subset, almost arithmetical progression bounded      38 89 153
Subset, arithmetical progression      138
Subset, coefficient      387
Symbolic method      259 268
Symbolic method, Aronhold's      259
Symbolic method, Hazlett's      264
Transfer lemma      47

О проекте