Knowledge (XXG)

Talk:Pythagorean field

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Since I've found other mistakes in that section, I'm wondering if the exact sequence is a true one. It might well be, but somebody should check. Somebody should also follow the citations because other incorrect claims in this article have been backed up by (mis-)citations.
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on Knowledge (XXG). If you would like to participate, please visit the project page, where you can join
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The "Witt rings" here are really groups. Since this is an exact sequence of
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is the complex numbers, then it doesn't have any such order.
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is stated unclearly, but if you understand an element of a
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I've looked at the definitions, and this should in fact be
275:. I'm not as sure of this, so somebody ought to check. 101:, a collaborative effort to improve the coverage of 8: 19: 162:The Ito reference does not seem to work. 47: 331: 375:Can somebody verify the exact sequence? 327: 115:Knowledge (XXG):WikiProject Mathematics 49: 7: 95:This article is within the scope of 38:It is of interest to the following 14: 433:Low-priority mathematics articles 428:Start-Class mathematics articles 203:is not ordered, then it doesn't 118:Template:WikiProject Mathematics 82: 72: 51: 20: 135:This article has been rated as 1: 109:and see a list of open tasks. 191:is the intersection of its 449: 219:then there is an order on 413:16:31, 22 June 2023 (UTC) 390:15:40, 22 June 2023 (UTC) 370:15:30, 22 June 2023 (UTC) 323:15:30, 22 June 2023 (UTC) 172:05:26, 1 March 2011 (UTC) 134: 67: 46: 207:any Euclidean closures. 141:project's priority scale 305:, I think the value of 98:WikiProject Mathematics 28:This article is rated 231:have different signs. 32:on Knowledge (XXG)'s 121:mathematics articles 215:is not a square in 337:Efrat (2005) p.178 277:The definition of 276: 193:Euclidean closures 90:Mathematics portal 34:content assessment 262: 155: 154: 151: 150: 147: 146: 440: 399:, it should say 356: 355:Lam (2005) p.410 353: 347: 346:Lam (2005) p.293 344: 338: 335: 177:Finding mistakes 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 448: 447: 443: 442: 441: 439: 438: 437: 418: 417: 377: 359: 354: 350: 345: 341: 336: 329: 295:quadratic forms 179: 160: 120: 117: 114: 111: 110: 88: 81: 61: 29: 12: 11: 5: 446: 444: 436: 435: 430: 420: 419: 416: 415: 397:abelian groups 376: 373: 358: 357: 348: 339: 326: 293:consisting of 260: 259: 233: 232: 197: 196: 178: 175: 159: 156: 153: 152: 149: 148: 145: 144: 133: 127: 126: 124: 107:the discussion 94: 93: 77: 65: 64: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 445: 434: 431: 429: 426: 425: 423: 414: 410: 406: 402: 398: 394: 393: 392: 391: 387: 383: 374: 372: 371: 367: 363: 352: 349: 343: 340: 334: 333: 328: 325: 324: 320: 316: 312: 308: 304: 300: 296: 292: 288: 284: 282: 274: 270: 266: 257: 253: 250: 248: 242: 241: 240: 238: 230: 226: 222: 218: 214: 210: 209: 208: 206: 202: 194: 190: 187: 186: 185: 184:it says that 183: 176: 174: 173: 169: 165: 157: 142: 138: 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 378: 360: 351: 342: 330: 310: 306: 303:real numbers 298: 280: 273:real numbers 268: 261: 258:) is 0 or 1. 255: 251: 246: 236: 234: 228: 224: 220: 216: 212: 204: 200: 198: 188: 180: 161: 137:Low-priority 136: 96: 62:Low‑priority 40:WikiProjects 297:, then for 112:Mathematics 103:mathematics 59:Mathematics 30:Start-class 422:Categories 401:Witt group 309:is indeed 287:Witt group 283:-invariant 249:-invariant 223:for which 289:to be a 279:general 265:infinity 245:general 405:Svennik 382:Svennik 362:Svennik 315:Svennik 271:is the 235:But if 199:but if 139:on the 164:Tkuvho 36:scale. 291:coset 267:when 409:talk 403:. -- 386:talk 366:talk 319:talk 313:. -- 307:u(F) 243:The 205:have 182:Here 168:talk 211:If 158:Ito 131:Low 424:: 411:) 388:) 380:-- 368:) 321:) 301:= 227:, 213:ab 170:) 407:( 384:( 364:( 332:^ 317:( 311:0 299:F 281:u 269:F 256:F 254:( 252:u 247:u 237:F 229:b 225:a 221:F 217:F 201:F 195:. 189:F 166:( 143:. 42::

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content assessment
WikiProjects
WikiProject icon
Mathematics
WikiProject icon
icon
Mathematics portal
WikiProject Mathematics
mathematics
the discussion
Low
project's priority scale
Tkuvho
talk
05:26, 1 March 2011 (UTC)
Here
Euclidean closures
general u-invariant
infinity
real numbers
general u-invariant
Witt group
coset
quadratic forms
real numbers
Svennik
talk
15:30, 22 June 2023 (UTC)
^

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