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Helen Popova Alderson

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188:, a textbook originally published in Russian in 1937 by B. A. Venkov. Her translation was published by Wolters-Noordhoff of Groningen in 1970. As well as the original text, it includes footnotes by Alderson updating the material with new developments in number theory. 544: 233: 156:, "plain quasigroups were first studied by Helen Popova-Alderson, in a series of papers dating back to the early fifties". Smith cites in particular a posthumous paper ( 147: 549: 559: 539: 176:) this operation can be inverted. Being plain involves having only a finite number of elements and no non-trivial subalgebras. 564: 184:
As well as Russian, English, and French, Alderson spoke Polish, Czech, and some German. She became the English translator of
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Alderson, Helen Popova (1974), "The structure of the logarithmetics of finite plain quasigroups",
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After leaving mathematical research to raise two children in Cambridge, she was funded by the
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Smith, Jonathan D. H. (1976), "Chapter 5: Plain algebras and equational completeness",
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in 1937, when she was only 13. She had to break off her studies because of
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Alumni of the University of Edinburgh College of Science and Engineering
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Alderson, Helen Popova (1973), "On the septimic character of 2 and 3",
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She died on 5 November 1972, from complications of kidney disease.
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is a mathematical structure consisting of a set of elements and a
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Mathematical Proceedings of the Cambridge Philosophical Society
58: 99:, beginning in the late 1960s. At Cambridge, she worked with 84:. She completed a Ph.D. there in 1951; her dissertation was 50: 344:
Some biographies of past contributors to number theory
135: 141: 378:Leonard, Philip A.; Williams, Kenneth S. (1974), 491: 77:, moving to Paris as a refugee with her family. 377: 271: 222: 195: 550:Fellows of Lucy Cavendish College, Cambridge 80:After the war, she returned to study at the 86:Logarithmetics of Non-Associative Algebras 449: 397: 295: 160:) and its references. In this context, a 279: 230: 191: 157: 380:"The septic character of 2, 3, 5 and 7" 560:Soviet emigrants to the United Kingdom 492: 333: 331: 329: 327: 325: 203: 419: 371: 153: 413: 337: 69:. She began studying mathematics at 57:, to a family of two academics from 49:Alderson was born on 14 May 1924 in 322: 168:that does not necessarily obey the 13: 443: 356: 14: 576: 97:Lucy Cavendish College, Cambridge 385:Pacific Journal of Mathematics 278: 202: 179: 93:Calouste Gulbenkian Foundation 1: 367:Mathematics Genealogy Project 315: 229: 565:Soviet expatriates in France 453:(February 1972), "Review of 297:10.1016/0021-8693(74)90002-7 16:Mathematician and translator 7: 540:Russian–English translators 520:Soviet women mathematicians 109: 25:Helen Alderson (footballer) 10: 581: 23:. For the footballer, see 18: 274: 255:10.1017/S030500410007715X 225: 198: 555:20th-century translators 460:The Mathematical Gazette 455:Elementary Number Theory 206:Elementary number theory 186:Elementary Number Theory 114:In the theory of higher 65:, had been a student of 399:10.2140/pjm.1974.52.143 340:"Helen Popova Alderson" 82:University of Edinburgh 44: 525:British mathematicians 204:Venkov, B. A. (1970), 143: 535:Technical translators 515:Soviet mathematicians 363:Helen Popova Alderson 192:Selected publications 144: 95:with a Fellowship at 31:Helen Popova Alderson 530:Women mathematicians 510:Scientists from Baku 172:, but where (like a 133: 346:, Number Theory Web 247:1973PCPS...74..421A 53:, then part of the 430:10.1007/BFb0095452 283:Journal of Algebra 139: 124:modular arithmetic 422:Mal'cev varieties 338:Matthews, Keith, 313: 312: 270: 269: 221: 220: 142:{\displaystyle p} 71:Moscow University 63:neurophysiologist 572: 484: 483: 451:Goodstein, R. L. 447: 441: 440: 417: 411: 410: 401: 375: 369: 360: 354: 353: 352: 351: 335: 308: 299: 272: 265: 223: 216: 196: 166:binary operation 148: 146: 145: 140: 116:reciprocity laws 101:J. W. S. Cassels 61:. Her father, a 39:reciprocity laws 580: 579: 575: 574: 573: 571: 570: 569: 490: 489: 488: 487: 473:10.2307/3613726 448: 444: 418: 414: 376: 372: 361: 357: 349: 347: 336: 323: 318: 309: 266: 217: 194: 182: 170:associative law 134: 131: 130: 126:modulo a given 112: 47: 28: 17: 12: 11: 5: 578: 568: 567: 562: 557: 552: 547: 542: 537: 532: 527: 522: 517: 512: 507: 502: 486: 485: 442: 412: 370: 355: 320: 319: 317: 314: 311: 310: 276: 268: 267: 241:(3): 421–433, 227: 219: 218: 200: 193: 190: 181: 178: 138: 120:seventh powers 111: 108: 46: 43: 37:and on higher 15: 9: 6: 4: 3: 2: 577: 566: 563: 561: 558: 556: 553: 551: 548: 546: 543: 541: 538: 536: 533: 531: 528: 526: 523: 521: 518: 516: 513: 511: 508: 506: 503: 501: 498: 497: 495: 482: 478: 474: 470: 466: 462: 461: 456: 452: 446: 439: 435: 431: 427: 423: 416: 409: 405: 400: 395: 391: 387: 386: 381: 374: 368: 364: 359: 345: 341: 334: 332: 330: 328: 326: 321: 307: 303: 298: 293: 289: 285: 284: 277: 273: 264: 260: 256: 252: 248: 244: 240: 236: 235: 228: 224: 215: 211: 207: 201: 197: 189: 187: 177: 175: 171: 167: 163: 159: 158:Alderson 1974 155: 152:According to 150: 136: 129: 125: 121: 117: 107: 104: 102: 98: 94: 89: 87: 83: 78: 76: 72: 68: 64: 60: 56: 52: 42: 40: 36: 32: 26: 22: 21:James Herriot 464: 458: 454: 445: 421: 415: 389: 383: 373: 358: 348:, retrieved 343: 287: 281: 238: 232: 205: 185: 183: 154:Smith (1976) 151: 128:prime number 113: 105: 90: 85: 79: 75:World War II 55:Soviet Union 48: 30: 29: 505:1972 deaths 500:1924 births 467:(395): 62, 392:: 143–147, 180:Translation 67:Ivan Pavlov 35:quasigroups 494:Categories 350:2018-10-22 316:References 162:quasigroup 110:Research 481:3613726 438:0432511 408:0364064 365:at the 306:0352298 290:: 1–9, 263:0323763 243:Bibcode 214:0265267 479:  436:  406:  304:  261:  212:  59:Moscow 477:JSTOR 174:group 122:, in 275:FPQ. 199:ENT. 51:Baku 45:Life 469:doi 457:", 426:doi 394:doi 292:doi 251:doi 226:7X. 496:: 475:, 465:56 463:, 434:MR 432:, 404:MR 402:, 390:52 388:, 382:, 342:, 324:^ 302:MR 300:, 288:31 286:, 259:MR 257:, 249:, 239:74 237:, 210:MR 149:. 103:. 88:. 41:. 471:: 428:: 396:: 294:: 253:: 245:: 137:p 27:.

Index

James Herriot
Helen Alderson (footballer)
quasigroups
reciprocity laws
Baku
Soviet Union
Moscow
neurophysiologist
Ivan Pavlov
Moscow University
World War II
University of Edinburgh
Calouste Gulbenkian Foundation
Lucy Cavendish College, Cambridge
J. W. S. Cassels
reciprocity laws
seventh powers
modular arithmetic
prime number
Smith (1976)
Alderson 1974
quasigroup
binary operation
associative law
group
MR
0265267
Mathematical Proceedings of the Cambridge Philosophical Society
Bibcode
1973PCPS...74..421A

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