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Krull's separation lemma

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Krull, Wolfgang (1928). "Zur Theorie der zweiseitigen Ideale in nichtkommutativen Bereichen".
371: 8: 65: 25: 288: 172: 117: 112: 94: 71: 47: 324: 307: 292: 280: 319: 272: 17: 409: 355: 33: 398: 284: 167: 29: 276: 343: 351: 221: 195: 175: 140: 120: 97: 74: 50: 239: 207: 181: 158: 126: 103: 80: 56: 396: 379: 305: 386: 372: 323: 39: 256: 397: 262: 111:is closed under multiplication) in a 338: 240:{\displaystyle P\cap M=\varnothing } 159:{\displaystyle I\cap M=\varnothing } 312:Journal of Pure and Applied Algebra 13: 14: 426: 234: 153: 342: 299: 1: 250: 358:. You can help Knowledge by 325:10.1016/0022-4049(92)90112-S 208:{\displaystyle I\subseteq P} 88:be a multiplicative system ( 7: 10: 431: 337: 265:Mathematische Zeitschrift 22:Krull's separation lemma 405:Theorems in ring theory 354:-related article is a 308:"On separation lemmas" 241: 209: 183: 166:. Then there exists a 160: 128: 105: 82: 58: 40:Statement of the lemma 306:Sun, Shu-Hao (1992). 242: 210: 184: 161: 129: 106: 83: 59: 219: 193: 173: 138: 118: 95: 72: 48: 32:. It was proved by 277:10.1007/BF01181179 237: 205: 179: 156: 124: 101: 78: 54: 367: 366: 182:{\displaystyle P} 127:{\displaystyle R} 104:{\displaystyle M} 81:{\displaystyle M} 57:{\displaystyle I} 422: 388: 381: 374: 346: 339: 330: 329: 327: 303: 297: 296: 260: 246: 244: 243: 238: 214: 212: 211: 206: 188: 186: 185: 180: 165: 163: 162: 157: 133: 131: 130: 125: 110: 108: 107: 102: 87: 85: 84: 79: 63: 61: 60: 55: 18:abstract algebra 430: 429: 425: 424: 423: 421: 420: 419: 395: 394: 393: 392: 335: 333: 304: 300: 261: 257: 253: 220: 217: 216: 194: 191: 190: 174: 171: 170: 139: 136: 135: 134:, and suppose 119: 116: 115: 96: 93: 92: 73: 70: 69: 49: 46: 45: 42: 12: 11: 5: 428: 418: 417: 412: 407: 391: 390: 383: 376: 368: 365: 364: 347: 332: 331: 318:(3): 301–310. 298: 271:(1): 481–503. 254: 252: 249: 236: 233: 230: 227: 224: 204: 201: 198: 178: 155: 152: 149: 146: 143: 123: 100: 77: 53: 41: 38: 34:Wolfgang Krull 9: 6: 4: 3: 2: 427: 416: 415:Algebra stubs 413: 411: 408: 406: 403: 402: 400: 389: 384: 382: 377: 375: 370: 369: 363: 361: 357: 353: 348: 345: 341: 340: 336: 326: 321: 317: 313: 309: 302: 294: 290: 286: 282: 278: 274: 270: 266: 259: 255: 248: 231: 228: 225: 222: 202: 199: 196: 176: 169: 150: 147: 144: 141: 121: 114: 98: 91: 75: 67: 51: 37: 35: 31: 27: 23: 19: 360:expanding it 349: 334: 315: 311: 301: 268: 264: 258: 89: 43: 21: 15: 189:satisfying 168:prime ideal 30:ring theory 399:Categories 251:References 293:122870138 285:0025-5874 235:∅ 226:∩ 200:⊆ 154:∅ 145:∩ 36:in 1928. 68:and let 352:algebra 410:Lemmas 291:  283:  64:be an 350:This 289:S2CID 66:ideal 26:lemma 24:is a 356:stub 281:ISSN 215:and 113:ring 90:i.e. 44:Let 320:doi 273:doi 28:in 16:In 401:: 316:78 314:. 310:. 287:. 279:. 269:28 267:. 247:. 20:, 387:e 380:t 373:v 362:. 328:. 322:: 295:. 275:: 232:= 229:M 223:P 203:P 197:I 177:P 151:= 148:M 142:I 122:R 99:M 76:M 52:I

Index

abstract algebra
lemma
ring theory
Wolfgang Krull
ideal
ring
prime ideal
doi
10.1007/BF01181179
ISSN
0025-5874
S2CID
122870138
"On separation lemmas"
doi
10.1016/0022-4049(92)90112-S
Stub icon
algebra
stub
expanding it
v
t
e
Categories
Theorems in ring theory
Lemmas
Algebra stubs

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