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| Faith C. — Rings and Things and a Fine Array of Twentieth Century Associative Algebra |
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| Предметный указатель |
Rutter 200 see
Rutter theorem 13.36
Sabbagh theorem 6.48
Sadat, Anwar 288
Safarevic see "Shafarevitch"
Sahaev 90
Sahaev theorem 12.9
SAI 158
Salce 135 166 see
Salce — Zanardo 6.19
Salinger, J.D. 317
Sally, J. 35
Saltman 19 35
Samuel 108
Sandomierski 90 108 163 181
Sandomierski theorem 4.1E 5.4Af 7.7 8.B 12.10
Sandwich ring 9.14s
Sanov theorem 3.74
Santa Clara — Smith theorem 12.4F—12.4H
Sarath 8
Sartre, Jean-Paul 317
Sasiada 74
Sathaye 245
Savio, Mario 320
Scanlon, Jane 299
Schanuel 90
Schilling 111
Schlatter, Richard 286 290
Schmidt see "Krull"
Schmidt, F.K. §8 264
Schmidt, S. 23
Schneider 68
Schoenfliess 275
Schoepf see "Eckmann"
Schofield 24
Schofield theorem 2.7s
Scholz theorem 2.21Bf
Schreier 13
Schur lemma §2 2.0ss
Schwartz, Binyamin 304
Scott 177 see
Scott, Robert F. 295
Sehgal 88
Seifert, Frau Herbert 265 274
Seifert, Herbert 265 274
Selberg, Atle 269—270 289
Selberg, Hetty 269—70 289
Selberg, Ingrid 270
Selberg, Lars 270
Self injective ring 3.2s 3.5Af §4
Sellers, Peter 294
Semi continuous module (ring) 12.4Bf
Semi local ring 3.11As (Cf. p.85)
Semi-regular ring 6.9f
Semiartinian module 3.33As
Semiartinian ring 3.33as
Semicompact 5.4Af
Semilocal Kasch ring 9.9 16.29 16.31—16.32
Semilocal ring 3.10Af
Semiperfect FPF ring 5.43ff
Semiperfect ring 3.30s
Semiprimary ring 5.1A's
Semiprime ideal 2.37As
Semiprime ring 2.2s
Semiprimitive ring 2.6f
Semisimple factor (or part) 2.52
Semisimple module 2.1s
Semisimple ring 2.1
Senstroem 135
Separable algebra 2.51 4.15B
Separable field extension 2.51s
Series, composition 2.17c
Series, Laurent 2.0f
Series, power 2.0f
Series, socle 3.33As
Serre 87 184 210
Serre condition 5.34
Serre conjecture 3.25
Sfield (= division ring) 2.0s
Shackelton, Ernest 295
Shafarevitch 74
Shafarevitch theorem 2.21Bf 3.43As
Shakespeare 289 300 313
Shamsuddin 112 141 160 197
Shamsuddin — Herbera theorem 8.C
Shamsuddin, Ahmad 308
Sharp 231 233
Sharp — Vamos theorem 16.7A—16.7B
Shelah 166
Sheperdson example 4.6Ds
Shields, Brooke ("Pretty Baby") 318
Shizhong theorem 8.C
Shock 62 88 112 163 241 254
Shock module 7.27s
Shock theorem 3.39—3.40 3.80 7.27
Shoda 29 86
Shores 69 111
Shores theorem 5.7—5.8 6.3A
Sigma cyclic module 5.1A's
Sigma cyclic ring 5.1A's
Sigma finitely generated 5.A's
Sigma injective 3.7As 3.14—3.16 7.32s 16.33
Sigma ring 7.47s
Silver 174 185
Silver theorem 12.1
Similar rings 3.51f
Similarity (of two rings) 3.5af
Simon 201
Simple factor 2.17Fs
Simple module 2.0s
Simple ring 2.1f 2.17B 7.15—7.19 12.4'''
Sims, Charles ("Chuck") 300
Simson theorem 4.A2
Singh, S. 132
Singh, S. theorem 5.3E 5.3G
Singh, Simon 323
Singular ideal 4.1Es §12
Singular submodule 4.1Es
Skew field (= sfield) 2.0s
Skew group rings 17.1As
Skolem 23
Skolem — Noether theorem 2.5A
Skornyakov theorem 5.2D 13.15C
Skornyakov, L.A. 284 297
Slomson 135
Smale, Steve 320—321
Small 28 48 62 74 90 132 169 181 225 227 237 254 see "Goldie"
Small theorem 3.41 3.55A 3.55B 3.55C 3.55D 3.57
Small, Lance 304
Smith, H.J.S. 123
Smith, M.K. 35 227
Smith, P.F. 23 92 see "Pusat-Yilmaz" "Santa
Smith, W.W. theorem 16.8A—16.8B
Smullyan, Ray 290n
Snapper theorem 3.49B
Snider 98 178 227 see "Fisher" "Ramras"
Snider theorem 12.0C 14.23
Socle length 3.33as
Socle of a module 3.33As
Socle series 3.33As
Solomon, Ron 301
Sontag 130
Soukhanov, Anne H. 272n 274n
Souslin 319n
South, Dudley E. 255
Specker theorem 1.19B
Spector, Clifford 276
Spector, Leah 276
Spencer, D.C. 283
Spencer, J. 290n
| Split algebra 4.15B
Split-null extension 4.24
Splits off 1.4 2.1s
Splits, submodule 1.4 2.1s
Splitting field 2.5Bff
Splitting, divisible group 1.11 1.12
Sridharan 209
Srinivasan 35 177
Srinivasan theorem 11.12s
Srinivasan, Bhama 292 294
Stable range 6.3Fs
Stafford 80 159 209 211 see
Stafford theorem 7.13
Staircase lemma 15.3
Stalin 271—272 290
Standard polynomial identity 15.15(5)
Steele (Prize) 286
Steenrod 54
Steenrod, Norman 312
Steinitz 88 123
Steinitz ring 3.77s
Steinitz theorem 1.28
Stellenring p.85
Stenstroem theorem 12.2
Stenstroem — Jain theorem 6.2B
Stephenson 78 157 254
Stephenson theorem 3.51'f §17
Stevens, Dorothea 267
Stewart 49
Stickelberger 5
Stone 90
Storrer 185
Strictly Galois extension 17.12s
Strong Johns ring 13.36s
Strongly  -regular ring 8.4Fs
Strongly discrete ring 9.35ff
Strongly prime ring 12.11s
Strongly regular extension 4.19As
Strongly regular polynomial identity 15.9s
Strongly regular ring 4.19As
Subdirect product 2.6f
Subdirectly irreducible ideal 16.9Cs
Subdirectly irreducible module 2.17Cs
Subdirectly irreducible ring 2.17Ds
Subdirectly irreducible submodule 2.17Cs
Subisomorphic 3.3
Submodule, (Cohn) pure 6.As
Submodule, fully invariant 1.3
Submodule, independent 1.4
Submodule, irreducible 2.18As 3.14B 16.9Cs
Submodule, RD-pure 1.17As
Submodule, subdirectly irreducible 2.17Cs 16.9Cs
Suitable ring 8.4B
Sullivan, Molly Kathleen 268 305
Summand 1.4
Support, finite 1.1
Suprunenko 87
SWAN 124 140 153
Swan theorem 2.21Bf 8.F
Swan, Richard 304
Sylow 177
Sylvester domains 6.31f
Symmetric element 2.44s
Symmetric quotient ring §17 Notes
Symmetric, skew 2.44s
Syzygy theorem 14.9
T-nilpotent 3.31 3.80
Tachikawa 160
Taft 49
Taft theorem 2.52f
Taft, Earl 258 283 297—298
Taft, Hessy 297—298
Taft, Robert Alphonso 298
Taft, William Howard 298
Talintyre theorem 3.55B
Tarski theorem 6.45
Tarski, Alfred 290 315n
Tata (Institute) 291
Tate 23 57
Tate, John 316n
Tennenbaum, Jonathan 319
Tennenbaum, Stanley 318—319
Teply 132
Teply — Fuelberth theorem 4.1E
Teply — Miller theorem 3.10
Teply — Miller — Hansen theorem 4.11
Thompson, John G. 301
Thrall 160
Thrall problem 13.29s
Thrall theorem 13.29s 13.30A
Thrall, Robert 287
Threlfall, William 274
Tierney, Miles ("Tiernovsky") 314
Tits 87
Toland, John 274
Tolskaya, T.C. 297
Tolstoy, Leo 302
Tol’skaya 200
Tomber, Marvin 261
Tominaga 24 130 183 251
Tominaga, Hisao ("Tommy") 306
Top regular 12.5s
Torch ring 5.8s
Torsion group 1.6
Torsion ideal 1.26As
Torsion subgroup 1.13f
Torsion submodule 1.6
Torsionfree 1.6
Torsionless module 1.5
Transpose matrix 2.43
Transvection invariant subring 2.16Js
Transvection matrix 2.16Js
Triangular matrices 2.6s
Trilfaj 136
Tsen 101
Tsen theorem 2.6ff
Tuchman, Herb 317
Tuganbaev 132
Twain, Mark (Samuel Clements) 295
Two x Two (2 x 2) theorem 5.38A
Ulrich 35
Underwood, Caroline 275
Uniform module 3.14A 16.9A
Uniform ring 6.26 13.26 16.13
Unimodular element 5.22f
Unique decomposition theorem 8.As
Uniserial module 5.1A'f
Uniserial ring 5.1A
Unit regular ring 4.Ass 6.3B
Units, ring generated by 2.16E—2.16H
Universal differential field 3.20f
Upham, Mary 292
Urken, Irv 318
Uspensky 255
Utrillo, Maurice 311
Utumi 30 95 101 179—180 182
Utumi theorem 4.2 4.3 4.7 4.20 12.0A 12.4" 12.4A—12.4B 12.5
Utumi, Yuzo 284—285
Uzkov 85
Uzkov theorem 5.1C
V-ring 3.9Bs 3.19A
Valente example 9.17
Valette 61—62 101
Valuation ring 3.15as 5.1A'f
Valuation, almost maximal 5.4C 5.4D
Valuation, discrete 9.29s
Valuation, Manis 9.10s
Vamos 55 80 111 119 121 133 159 231 233 240
Vamos ring 5.19s 5.21 9.1s
Vamos theorem 3.36F 3.58—3.61 5.9 5.15C—5.15D 5.17s 6.1 7.50 13.8
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