619:
262:
in 1933, his father's business was confiscated and his mother dismissed. He moved to the Talmud-Tora-Schule, a Jewish school. In mid-1937, the family moved to
Klosterallee. This was nearer the school, the synagogue and other pupils, being in the Jewish area. His German teacher was Dr. Ernst
254:
quarter. He attended a kindergarten then, in April 1930, moved to
Alsterdorfer Straße School. After a while, he had a new teacher, a National Socialist, who picked on him and punished him without cause. Thus in 1931, he moved to the Meerweinstraße School where his mother taught.
37:
429:
In all, Cohn wrote nearly 200 mathematical papers. He worked in many areas of algebra, mainly in non-commutative ring theory. His first papers, covering many topics, were published in 1952. He generalised a theorem due to
544:
in 1977. The second edition, in three volumes, was published by Wiley between 1982 and 1991. These volumes were in line with the
British (rather than American) curricula at the time and include both
413:, 1982–1984, having been its secretary, 1965–1967 and a council member in 1968–1971, 1972–1975 and 1979–1982. He was editor of the society's monographs in 1968–1977 and 1980–1993. He was elected a
250:
When he was born, his parents were living with his mother's mother in
Isestraße. After her death in October 1925, the family moved to a rented flat in a new building in Lattenkamp, in the
1832:
1523:
943:
556:(Wiley, 2000) as a more "user friendly" version for undergraduates (according to its preface); this book also includes a few selected topics from volumes II and III of
239:
Both of his parents were born in
Hamburg, as were three of his grandparents. His ancestors came from various parts of Germany. His father fought in the German army in
1842:
1827:
1822:
1802:
1797:
1807:
345:
394:, Bill Stephenson and Warren Dicks. He became Astor Professor of Mathematics there in 1986. He continued to be a visiting professor, for example to the
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368:
122:
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1817:
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to work on a chicken farm, and never saw his parents again. He corresponded regularly with them until late 1941. At the end of
1615:
607:
His recreation was etymology and language in all its forms. He married
Deirdre Sharon in 1958, and they had two daughters.
296:, acquired a work permit and worked in a factory for 4½ years. He passed the Cambridge Scholarship Examination, and won an
975:
579:, assumes knowledge of linear algebra. The material on basic theories (groups, rings, fields) is pursued in more depth in
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1537:
1401:
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209:
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1021:
518:
418:
352:
297:
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1647:
690:
171:
95:
1154:
509:
appeared in 1965 (second edition 1981). After that, he concentrated on non-commutative ring theory and the
1499:
1234:
654:
232:
Cohn was the only child of Jewish parents, James (or Jakob) Cohn, owner of an import business, and Julia (
1637:
1337:
1300:
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395:
341:
325:
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264:
1787:
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510:
390:. Cohn moved to University College London in 1984, together with the two other experts at Bedford on
387:
313:
128:
1720:
1556:
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1007:
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109:
278:. He was released after four months but told to emigrate. Cohn went to Britain in May 1939 on the
1756:
1176:
934:
403:
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in 1980 and was on its council, 1985–1987. He was a member of the
Mathematical Committee of the
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on 6 December 1941 and never returned. At the end of 1941, the farm closed. He trained as a
181:
1378:
789:
747:
712:
676:
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The final incarnation of Cohn's algebra textbooks appeared in 2003 as two
Springer volumes
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785:
743:
708:
672:
522:
329:
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624:
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is (according to its preface) rather more concise and, while corresponding roughly with
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In the early 1980s, funding cuts caused the closure of the small colleges of the
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36:
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in 1967. By then, he was regarded as one of the world's leading algebraists.
1632:
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971:
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494:
459:
364:
957:
938:
421:, 1977–1980. He chaired the National Committee for Mathematics, 1988–1989.
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529:
of rings into skew fields. The second, enlarged edition appeared in 1985.
533:
455:
1180:
217:
213:
105:
64:
355:, London. He held several visiting professorships, in America, Paris,
435:
1172:
1462:"Professor Paul Cohn: Mathematician who devoted himself to algebra"
552:. Cohn wrote a subsequent revised iteration of the first volume as
360:
356:
351:
Also in 1967, he became head of the
Department of Mathematics at
320:) in 1951. He then spent a year as a Chargé de Recherches at the
595:, but reflects the shift of some material from these volumes to
289:
259:
1488:
1377:
Cohn, Paul; Struan
Robertson (website owner) (February 2003).
517:
appeared in 1971. It covered the work of Cohn and others on
442:
on pseudo-valuations and in 1954 he published a work on
324:. On his return, he became a lecturer in mathematics at
247:. A street in Hamburg is named in memory of his mother.
754:
1995: "Skew Fields, Theory of General Division Rings",
446:. Papers over the next few years covered areas such as
525:. He included all of his own published results on the
944:
Biographical Memoirs of Fellows of the Royal Society
402:
in 1987. He retired in 1989, but remained active as
1744:
1530:
180:
159:
151:
115:
101:
91:
75:
46:
27:
1386:A History of Jews in Hamburg: The Kindertransports
906:Free Ideal Rings and Localization in General Rings
939:"Paul Moritz Cohn 8 January 1924 — 20 April 2006"
756:Encyclopedia of Mathematics and its Applications
438:spaces. In 1953 he published a joint paper with
1127:
1125:
1123:
1121:
1119:
243:; he was wounded several times and awarded the
1206:Bill Stephenson, ed. (July 2006). "Obituary".
406:and honorary research fellow until his death.
332:in 1961–1962, and for part of 1962 was at the
1500:
1073:
1071:
1069:
1067:
1065:
686:"Noncommutative unique factorization domains"
591:roughly corresponds to volumes II and III of
212:, 1986–1989, and author of many textbooks on
8:
1833:Academics of Queen Mary University of London
1139:
1137:
346:State University of New York at Stony Brook
1507:
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987:
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24:
1357:
1320:
1283:
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1087:
1085:
1083:
956:
863:Algebraic Numbers and Algebraic Functions
779:
764:"From Hermite rings to Sylvester domains"
737:
702:
666:
521:and related classes of rings, especially
470:. After that, he moved into the areas of
1192:
1190:
288:, he learned that they were deported to
1017:MacTutor History of Mathematics Archive
917:
485:In 1957 Cohn published his first book,
274:), his father was arrested and sent to
1843:German emigrants to the United Kingdom
1828:Academics of University College London
1379:"Paul M. Cohn, (Childhood in Hamburg)"
312:He received a B.A in Mathematics from
1410:Council for the Mathematical Sciences
925:
923:
921:
340:. He was a visiting professor at the
336:. On his return, he became Reader at
216:. His work was mostly in the area of
204:(8 January 1924 – 20 April 2006) was
7:
1823:Alumni of Trinity College, Cambridge
334:University of California at Berkeley
270:On the night of 9/10 November 1938 (
1803:21st-century British mathematicians
1798:20th-century British mathematicians
373:Mathematical Association of America
316:in 1948 and a Ph.D. (supervised by
1808:20th-century German mathematicians
1432:Schofield, Aidan (8 August 2006).
501:, appeared in 1958 and his third,
14:
1048:. United Kingdom: Debrett's Ltd.
739:10.1090/s0002-9947-1963-0153696-8
704:10.1090/s0002-9947-1963-0155851-x
668:10.1090/s0002-9939-1958-0103202-2
434:, and worked on the structure of
328:. He was a visiting professor at
1092:A & C Black (January 2006).
899:Dictionary of National Biography
893:Further Algebra and Applications
617:
589:Further Algebra and Applications
569:Further Algebra and Applications
276:Sachsenhausen concentration camp
263:Loewenberg, the son of the poet
35:
1359:10.1090/s0273-0979-1979-14622-6
1322:10.1090/S0273-0979-1989-15793-5
1285:10.1090/s0002-9904-1973-13243-4
1248:10.1090/S0002-9904-1959-10358-X
1303:Free rings and their relations
1266:Free rings and their relations
1046:Debrett's People of Today 2006
830:Free Rings and Their Relations
532:Cohn also wrote undergraduate
515:Free Rings and their Relations
1:
1309:Bull. Amer. Math. Soc. (N.S.)
976:Mathematics Genealogy Project
781:10.1090/s0002-9939-99-05189-8
722:"Rings with a weak algorithm"
1838:Fellows of the Royal Society
1208:De Morgan Society Newsletter
480:unique factorisation domains
208:Professor of Mathematics at
1406:London Mathematical Society
1262:Czerniakiewicz, A. (1973).
875:Introduction to Ring Theory
415:Fellow of the Royal Society
411:London Mathematical Society
381:London Mathematical Society
135:Fellow of the Royal Society
1859:
1305:, 2nd edn., by P. M. Cohn"
869:Elements of Linear Algebra
302:Trinity College, Cambridge
258:Following the rise of the
15:
519:free associative algebras
236:Cohen), a schoolteacher.
210:University College London
192:
167:University College London
144:
34:
1818:Kindertransport refugees
1793:People from Hamburg-Nord
1340:Skew field constructions
1022:University of St Andrews
851:Skew Field Constructions
650:"Rings of zero-divisors"
419:Science Research Council
409:He was president of the
16:Not to be confused with
1726:Walter Thompson Welford
1336:Bergman, G. M. (1979).
1299:Lewin, Jacques (1989).
691:Trans. Amer. Math. Soc.
478:, and non-commutative
172:Bedford College, London
96:University of Cambridge
1235:Bull. Amer. Math. Soc.
1153:Cohn, Paul M. (1971).
958:10.1098/rsbm.2014.0016
726:Trans. Amer. Math. Soc
655:Proc. Amer. Math. Soc.
1583:F. Gerard Friedlander
1434:"Professor Paul Cohn"
1400:Cooper, P. R. (ed.).
1346:Bull. Amer. Math. Soc
1272:Bull. Amer. Math. Soc
846:, second edition 1989
839:, second edition 1982
825:, second edition 1981
768:Proc. Amer. Math. Soc
540:appeared in 1974 and
489:, on groups that are
396:University of Alberta
367:. He was awarded the
342:University of Chicago
326:Manchester University
222:non-commutative rings
110:non-commutative rings
1465:(Newspaper obituary)
1437:(Newspaper obituary)
1155:"Rings of fractions"
1008:Robertson, Edmund F.
762:Cohn, P. M. (2000).
720:Cohn, P. M. (1963).
684:Cohn, P. M. (1963).
648:Cohn, P. M. (1958).
388:University of London
377:Senior Berwick Prize
369:Lester R. Ford Award
314:Cambridge University
129:Senior Berwick Prize
123:Lester R. Ford Award
1721:Lawrence Weiskrantz
1419:on 23 December 2012
1160:Amer. Math. Monthly
1006:O'Connor, John J.;
832:second edition 1985
497:. His second book,
400:Bar Ilan University
344:in 1964 and at the
322:University of Nancy
108:, concentrating in
1757:Philip W. Anderson
1544:Zbigniew Basinski
1098:. United Kingdom:
1012:"Paul Moritz Cohn"
627:has a profile for
571:. The material in
511:theory of algebras
491:analytic manifolds
404:professor emeritus
338:Queen Mary College
294:precision engineer
1813:Jewish scientists
1765:
1764:
1699:Louis Siminovitch
1222:Nijenhuis, Albert
1044:(November 2005).
823:Universal Algebra
633:
554:Classical Algebra
507:Universal algebra
425:Mathematical work
196:
195:
146:Scientific career
41:Paul Cohn in 1989
1850:
1716:Grenville Turner
1664:Montague Pennell
1627:Anthony Laughton
1509:
1502:
1495:
1486:
1481:
1479:
1477:
1466:
1460:(29 June 2006).
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1451:
1449:
1438:
1428:
1426:
1424:
1418:
1412:. Archived from
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1394:
1392:
1383:
1364:
1363:
1361:
1342:, by P. M. Cohn"
1333:
1327:
1326:
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1287:
1268:, by P. M. Cohn"
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1230:, by P. M. Cohn"
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978:
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963:
962:
960:
927:
811:Linear Equations
793:
783:
774:(7): 1899–1904.
751:
741:
716:
706:
680:
670:
631:
621:
620:
550:abstract algebra
523:free ideal rings
513:. His monograph
499:Linear Equations
375:in 1972 and the
265:Jakob Loewenberg
199:Paul Moritz Cohn
182:Doctoral advisor
82:
60:
58:
51:Paul Moritz Cohn
39:
25:
1858:
1857:
1853:
1852:
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1849:
1848:
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1638:Anthony Leggett
1616:William Jarrett
1538:Muhammad Akhtar
1526:
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1464:
1456:
1447:
1445:
1442:The Independent
1436:
1431:
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1399:
1390:
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1382:(Autobiography)
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1188:
1173:10.2307/2316568
1152:
1151:
1147:
1142:
1135:
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1117:
1110:
1100:A & C Black
1091:
1090:
1081:
1076:
1063:
1056:
1040:
1039:
1028:
1005:
1004:
981:
970:
966:
931:Bergman, George
929:
928:
919:
914:
881:Classic Algebra
800:
761:
719:
683:
647:
644:
639:
638:
637:
622:
618:
613:
605:
472:Jordan algebras
427:
398:in 1986 and to
353:Bedford College
330:Yale University
310:
281:Kindertransport
230:
176:
140:
92:Alma mater
87:
86:London, England
84:
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1693:John Shercliff
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1653:Alan Muir Wood
1650:
1645:
1643:Graham Liggins
1640:
1635:
1630:
1623:
1618:
1613:
1606:
1604:Leslie Iversen
1601:
1599:Marshall Hatch
1596:
1594:W. D. Hamilton
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1429:
1402:"Paul M. Cohn"
1397:
1372:
1369:
1366:
1365:
1352:(2): 414–420.
1328:
1315:(1): 139–142.
1291:
1278:(5): 873–878.
1254:
1241:(6): 338–341.
1213:
1198:
1186:
1167:(6): 596–615.
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979:
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935:Stuart, Trevor
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817:Solid Geometry
813:
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732:(2): 332–356.
717:
697:(2): 313–331.
681:
661:(6): 909–914.
643:
640:
623:
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615:
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612:
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546:linear algebra
503:Solid geometry
464:abelian groups
432:Wilhelm Magnus
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83:(aged 82)
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61:8 January 1924
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1752:Hannes Alfvén
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1736:Lewis Wolpert
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1731:Bill Wittrick
1729:
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1705:Herbert Smith
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1687:Derek Roberts
1685:
1683:
1682:Mark Richmond
1680:
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1676:Humphrey Rang
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1658:Roger Parsons
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1589:Brian Gunning
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1577:D. H. Everett
1575:
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1568:
1567:Henry Daniels
1565:
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1557:John Brooksby
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1520:Royal Society
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1131:Autobiography
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1109:0-7136-7164-5
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1055:1-870520-90-4
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1778:1924 births
1621:Niels Jerne
1551:Dick Bishop
1210:(14): 9–10.
1077:Independent
951:: 127–150.
857:Algebra III
505:, in 1961.
476:skew fields
468:ring theory
440:Kurt Mahler
392:ring theory
318:Philip Hall
241:World War I
187:Philip Hall
155:Mathematics
1772:Categories
1228:Lie groups
912:References
844:Algebra II
805:Lie Groups
630:Paul Cohn
542:Algebra II
495:Lie groups
487:Lie Groups
460:semigroups
359:, Canada,
298:exhibition
252:Winterhude
245:Iron Cross
228:Early life
57:1924-01-08
18:Paul Cohen
1633:Dick Laws
1562:Paul Cohn
1470:The Times
1458:The Times
1338:"Review:
1301:"Review:
1264:"Review:
1226:"Review:
1143:De Morgan
1095:Who's Who
1042:Debrett's
972:Paul Cohn
837:Algebra I
632:(Q949132)
585:Algebra I
577:Algebra I
538:Algebra I
534:textbooks
527:embedding
456:Lie rings
383:in 1974.
371:from the
365:Bielefeld
29:Paul Cohn
1522:elected
1476:4 August
1448:4 August
1423:4 August
1224:(1959).
937:(2014).
642:Articles
1745:Foreign
1531:Fellows
1524:in 1980
1518:of the
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1391:24 July
1181:2316568
974:at the
790:1646314
748:0153696
713:0155851
677:0103202
625:Scholia
593:Algebra
558:Algebra
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214:algebra
106:Algebra
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308:Career
152:Fields
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131:(1974)
125:(1972)
116:Awards
1196:Times
1177:JSTOR
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357:Delhi
260:Nazis
206:Astor
1478:2008
1450:2008
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