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Subfield of an algebra

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is a subfield that is not contained in a strictly larger subfield of
252:. Graduate texts in mathematics, Vol. 88, Springer-Verlag, 1982, 15: 287: 43: 173: 231: 307: 8: 48:introducing citations to additional sources 314: 300: 219: 215: 199: 172: 38:Relevant discussion may be found on the 7: 268: 266: 232:{\displaystyle =(\dim _{F}A)^{1/2}} 14: 270: 31:relies largely or entirely on a 20: 212: 192: 186: 174: 1: 286:. You can help Knowledge by 354: 265: 165:strictly maximal subfield 151:is a finite-dimensional 136:that is also a field. A 59:"Subfield of an algebra" 282:-related article is a 233: 153:central simple algebra 234: 250:Associative algebras 171: 44:improve this article 248:Richard S. Pierce. 229: 155:, then a subfield 295: 294: 258:978-0-387-90693-5 109: 108: 94: 345: 333:Abstract algebra 316: 309: 302: 274: 267: 238: 236: 235: 230: 228: 227: 223: 204: 203: 138:maximal subfield 104: 101: 95: 93: 52: 24: 16: 353: 352: 348: 347: 346: 344: 343: 342: 323: 322: 321: 320: 263: 245: 211: 195: 169: 168: 113:subfield of an 105: 99: 96: 53: 51: 37: 25: 12: 11: 5: 351: 349: 341: 340: 335: 325: 324: 319: 318: 311: 304: 296: 293: 292: 275: 261: 260: 244: 241: 226: 222: 218: 214: 210: 207: 202: 198: 194: 191: 188: 185: 182: 179: 176: 111:In algebra, a 107: 106: 42:. Please help 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 350: 339: 338:Algebra stubs 336: 334: 331: 330: 328: 317: 312: 310: 305: 303: 298: 297: 291: 289: 285: 281: 276: 273: 269: 264: 259: 255: 251: 247: 246: 242: 240: 224: 220: 216: 208: 205: 200: 196: 189: 183: 180: 177: 166: 162: 158: 154: 150: 145: 143: 139: 135: 131: 127: 124: 120: 119: 116: 103: 92: 89: 85: 82: 78: 75: 71: 68: 64: 61: –  60: 56: 55:Find sources: 49: 45: 41: 35: 34: 33:single source 29:This article 27: 23: 18: 17: 288:expanding it 277: 262: 249: 164: 163:is called a 160: 156: 148: 146: 141: 137: 129: 125: 117: 112: 110: 97: 87: 80: 73: 66: 54: 30: 327:Categories 243:References 134:subalgebra 70:newspapers 206:⁡ 40:talk page 100:May 2024 280:algebra 121:over a 115:algebra 84:scholar 256:  128:is an 86:  79:  72:  65:  57:  278:This 123:field 91:JSTOR 77:books 284:stub 254:ISBN 63:news 197:dim 167:if 159:of 147:If 46:by 329:: 239:. 144:. 315:e 308:t 301:v 290:. 225:2 221:/ 217:1 213:) 209:A 201:F 193:( 190:= 187:] 184:F 181:: 178:E 175:[ 161:A 157:E 149:A 142:A 132:- 130:F 126:F 118:A 102:) 98:( 88:· 81:· 74:· 67:· 50:. 36:.

Index


single source
talk page
improve this article
introducing citations to additional sources
"Subfield of an algebra"
news
newspapers
books
scholar
JSTOR
algebra
field
subalgebra
central simple algebra
ISBN
978-0-387-90693-5
Stub icon
algebra
stub
expanding it
v
t
e
Categories
Abstract algebra
Algebra stubs

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