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Cartan–Brauer–Hua theorem

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202: 243: 178: 236: 155: 262: 272: 229: 135: 267: 74: 174: 151: 147: 140: 209: 20: 188: 184: 170: 100: 213: 32: 28: 256: 40: 201: 36: 92: 217: 139: 237: 8: 244: 230: 43:. It says that given two division rings 167:A First Course in Noncommutative Rings 25:Cartan–Brauer–Hua theorem 7: 198: 196: 122: 16:Result pertaining to division rings 169:(2nd ed.). Berlin, New York: 14: 200: 1: 39:) is a theorem pertaining to 216:. You can help Knowledge by 146:. New York: Wiley. p.  289: 195: 91:. In other words, if the 263:Theorems in ring theory 165:Lam, Tsit-Yuen (2001). 273:Abstract algebra stubs 212:-related article is a 103:of the unit group of 73:is contained in the 65:not equal to 0 in 225: 224: 180:978-0-387-95325-0 142:Topics in algebra 280: 246: 239: 232: 210:abstract algebra 204: 197: 192: 161: 145: 125:, p. 211). 116: 90: 57:is contained in 52: 21:abstract algebra 288: 287: 283: 282: 281: 279: 278: 277: 253: 252: 251: 250: 181: 171:Springer-Verlag 164: 158: 136:Herstein, I. N. 134: 131: 108: 101:normal subgroup 82: 44: 17: 12: 11: 5: 286: 284: 276: 275: 270: 265: 255: 254: 249: 248: 241: 234: 226: 223: 222: 205: 194: 193: 179: 162: 156: 130: 127: 107:, then either 41:division rings 29:Richard Brauer 15: 13: 10: 9: 6: 4: 3: 2: 285: 274: 271: 269: 266: 264: 261: 260: 258: 247: 242: 240: 235: 233: 228: 227: 221: 219: 215: 211: 206: 203: 199: 190: 186: 182: 176: 172: 168: 163: 159: 157:0-471-01090-1 153: 149: 144: 143: 137: 133: 132: 128: 126: 124: 120: 115: 111: 106: 102: 98: 94: 89: 85: 80: 76: 72: 68: 64: 60: 56: 51: 47: 42: 38: 34: 30: 27:(named after 26: 22: 218:expanding it 207: 166: 141: 121:is central ( 118: 113: 109: 104: 96: 87: 83: 78: 70: 66: 62: 58: 54: 49: 45: 24: 18: 268:Hua Luogeng 37:Hua Luogeng 33:Élie Cartan 257:Categories 129:References 93:unit group 61:for every 53:such that 69:, either 138:(1975). 123:Lam 2001 189:1838439 187:  177:  154:  75:center 35:, and 23:, the 208:This 99:is a 81:, or 214:stub 175:ISBN 152:ISBN 148:368 117:or 95:of 77:of 55:xKx 19:In 259:: 185:MR 183:. 173:. 150:. 112:= 86:= 48:⊆ 31:, 245:e 238:t 231:v 220:. 191:. 160:. 119:K 114:D 110:K 105:D 97:K 88:D 84:K 79:D 71:K 67:D 63:x 59:K 50:D 46:K

Index

abstract algebra
Richard Brauer
Élie Cartan
Hua Luogeng
division rings
center
unit group
normal subgroup
Lam 2001
Herstein, I. N.
Topics in algebra
368
ISBN
0-471-01090-1
Springer-Verlag
ISBN
978-0-387-95325-0
MR
1838439
Stub icon
abstract algebra
stub
expanding it
v
t
e
Categories
Theorems in ring theory
Hua Luogeng
Abstract algebra stubs

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