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that funneled research grants into mathematics, giving many young mathematicians career opportunities previously unavailable. Due to his success in helping to give mathematical research a sound financial footing, he earned a reputation as a "statesman for mathematics." Albert was elected a Fellow of
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From 1931 to 1972, he served on the mathematics faculty at the
University of Chicago, where he became chair of the Mathematics Department in 1958 and Dean of the Physical Sciences Division in 1961.
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After WWII, he became a forceful advocate favoring government support for research in mathematics on a par with physical sciences. He served on policy-making bodies at the
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As a research mathematician, he is primarily known for his work as one of the principal developers of the theory of
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Jewish recipients of the Frank Nelson Cole Prizes in algebra and number theory (43% of recipients)
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A and His
Algebra: How a Boy from Chicago's West Side Became a Force in American Mathematics
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890:"On the Structure of Pure Riemann Matrices with Non-commutative Multiplication Algebras"
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266:. He married around the same time as his graduation. He spent his postdoctoral year at
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in 1933-34 and spent another year in
Princeton in 1961-62 as the first Director of the
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and thereafter. One of his most notable achievements was his groundbreaking work on
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Collected mathematical papers. Part 1. Associative algebras and
Riemann matrices.
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Collected mathematical papers. Part 2. Nonassociative algebras and miscellany
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in
November 1941. The theory that developed from this work can be seen in
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1253:"On Direct Products, Cyclic Division Algebras, and Pure Riemann Matrices"
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531:; Osborn, J. Marshall; Saltman, David J.; Zelinsky, Daniel (eds.),
495:; Osborn, J. Marshall; Saltman, David J.; Zelinsky, Daniel (eds.),
294:(IDA). He later served on the Board of Trustees of IDA 1969-1972.
247:
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943:"The Group of the Rank Equation of Any Normal Division Algebra"
282:
algebras. He returned to
Princeton for the opening year of the
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in 1928, at the age of 22. All degrees were obtained from the
200:. In 1939, he received the American Mathematical Society's
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Members of the United States
National Academy of Sciences
1769:
University of
Chicago Special Collections Research Center
1155:"Involutorial Simple Algebras and Real Riemann Matrices"
196:(November 9, 1905 – June 6, 1972) was an American
1359:"Normal Division Algebras Satisfying Mild Assumptions"
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Fellows of the
American Academy of Arts and Sciences
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and most associated with that city. He received his
1765:
Guide to the
Abraham Adrian Albert Papers 1921-2004
270:and then from 1929 to 1931 he was an instructor at
396:Algebras and their radicals, and division algebras
304:and as a pioneer in the development of linear non-
1719:
2418:
1751:National Academy of Sciences Biographical Memoir
1514:
625:"On Hermitian Operators over the Cayley Algebra"
2467:Presidents of the American Mathematical Society
1644:
2457:Institute for Advanced Study visiting scholars
1554:
572:"The Norm Form of a Rational Division Algebra"
1789:
527:Albert, A. Adrian (1993), Block, Richard E.;
491:Albert, A. Adrian (1993), Block, Richard E.;
318:, he also did work for the military during
1796:
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996:"On the Nuclei of a Simple Jordan Algebra"
784:"The Minimum Rank of a Correlation Matrix"
678:"A Note on the Exceptional Jordan Algebra"
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1489:. American Academy of Arts and Sciences.
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1306:"The Rank Function of Any Simple Algebra"
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484:Introduction to finite projective planes
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208:. He is best known for his work on the
1731:MacTutor History of Mathematics Archive
1484:"Book of Members, 1780-2010: Chapter A"
1049:"A Property of Special Jordan Algebras"
731:"A Theory of Trace-Admissible Algebras"
343:United States National Research Council
14:
2419:
1756:search on author Abraham Adrian Albert
1649:Fundamental concepts of higher algebra
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352:American Academy of Arts and Sciences
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210:Albert–Brauer–Hasse–Noether theorem
24:
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1598:Introduction to algebraic theories
1454:"Abraham Adrian Albert: 1905–1972"
451:Introduction to algebraic theories
274:. During this period he worked on
27:American mathematician (1905–1972)
25:
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1704:
837:"The Matrices of Factor Analysis"
1692:, iUniverse, Lincoln, NE, 2005.
1496:from the original on 10 May 2011
1464:Mathematical Sciences Publishers
430:, 1939. Colloquium publications
364:
288:Communications Research Division
1742:Abraham Adrian Albert 1905–1972
1671:10.1090/s0002-9904-1957-10130-x
1581:10.1090/s0002-9904-1940-07233-7
1541:10.1090/s0002-9904-1938-06758-4
1208:"Normal Division Algebras of 2"
357:
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292:Institute for Defense Analyses
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1:
2482:University of Chicago faculty
1806:American Mathematical Society
1715:Mathematics Genealogy Project
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539:American Mathematical Society
503:American Mathematical Society
436:American Mathematical Society
328:American Mathematical Society
2497:Mathematicians from Illinois
2477:University of Chicago alumni
2472:Princeton University faculty
284:Institute for Advanced Study
7:
2487:Columbia University faculty
1744:, A Biographical Memoir by
1560:"Review: A. Adrian Albert,
402:Albert, A. Adrian (2015) ,
347:National Science Foundation
302:linear associative algebras
204:in Algebra for his work on
10:
2513:
2442:20th-century American Jews
2059:Theophil Henry Hildebrandt
1102:"On Involutorial Algebras"
410:Cambridge University Press
227:, which are also known as
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1515:Brinkmann, H. W. (1938).
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1736:University of St Andrews
1645:Mattuck, Arthur (1957).
1604:The Mathematical Gazette
1363:Proc Natl Acad Sci U S A
1310:Proc Natl Acad Sci U S A
1257:Proc Natl Acad Sci U S A
1212:Proc Natl Acad Sci U S A
1159:Proc Natl Acad Sci U S A
1106:Proc Natl Acad Sci U S A
1053:Proc Natl Acad Sci U S A
1000:Proc Natl Acad Sci U S A
947:Proc Natl Acad Sci U S A
894:Proc Natl Acad Sci U S A
841:Proc Natl Acad Sci U S A
788:Proc Natl Acad Sci U S A
735:Proc Natl Acad Sci U S A
682:Proc Natl Acad Sci U S A
629:Proc Natl Acad Sci U S A
576:Proc Natl Acad Sci U S A
388:
339:Office of Naval Research
223:and as the developer of
2281:Cathleen Synge Morawetz
1853:Robert Simpson Woodward
1821:John Howard Van Amringe
1425:"Jewish Mathematicians"
467:Solid analytic geometry
1936:Leonard Eugene Dickson
1459:Celebratio Mathematica
1384:10.1073/pnas.14.12.904
1357:Albert, A. A. (1928).
1304:Albert, A. A. (1929).
1251:Albert, A. A. (1930).
1206:Albert, A. A. (1931).
1180:10.1073/pnas.20.12.676
1153:Albert, A. A. (1934).
1100:Albert, A. A. (1955).
1047:Albert, A. A. (1956).
994:Albert, A. A. (1963).
968:10.1073/pnas.14.12.906
941:Albert, A. A. (1928).
888:Albert, A. A. (1930).
835:Albert, A. A. (1944).
782:Albert, A. A. (1944).
729:Albert, A. A. (1949).
676:Albert, A. A. (1950).
623:Albert, A. A. (1955).
570:Albert, A. A. (1957).
377:Abraham Adrian Albert
332:digital communications
2158:Charles B. Morrey Jr.
2150:Abraham Adrian Albert
2102:Gordon Thomas Whyburn
1995:Earle Raymond Hedrick
1979:George David Birkhoff
1920:Edward Burr Van Vleck
1658:Bull. Amer. Math. Soc
1568:Bull. Amer. Math. Soc
1562:Structure of Algebras
1528:Bull. Amer. Math. Soc
1519:Modern Higher Algebra
1331:10.1073/pnas.15.4.372
1278:10.1073/pnas.16.4.313
1225:10.1073/pnas.17.6.389
1127:10.1073/pnas.41.7.480
1074:10.1073/pnas.42.9.624
1021:10.1073/pnas.50.3.446
915:10.1073/pnas.16.4.308
809:10.1073/pnas.30.6.144
756:10.1073/pnas.35.6.317
703:10.1073/pnas.36.7.372
650:10.1073/pnas.41.9.639
597:10.1073/pnas.43.6.506
481:with Rebeun Sandler:
428:Structure of algebras
405:Modern higher algebra
316:applied mathematician
264:University of Chicago
238:Professional overview
194:Abraham Adrian Albert
140:University of Chicago
86:University of Chicago
44:Abraham Adrian Albert
18:Abraham Adrian Albert
2447:American algebraists
2110:Raymond Louis Wilder
1928:Ernest William Brown
1722:Robertson, Edmund F.
1651:by A. Adrian Albert"
1600:by A. Adrian Albert"
1521:by A. Adrian Albert"
862:10.1073/pnas.30.4.90
537:, Providence, R.I.:
501:, Providence, R.I.:
268:Princeton University
2492:People from Chicago
2003:Luther P. Eisenhart
1912:Henry Burchard Fine
1888:William Fogg Osgood
1837:George William Hill
1720:O'Connor, John J.;
1375:1928PNAS...14..904A
1322:1929PNAS...15..372A
1269:1930PNAS...16..313A
1171:1934PNAS...20..676A
1118:1955PNAS...41..480A
1065:1956PNAS...42..624A
1012:1963PNAS...50..446A
959:1928PNAS...14..906A
906:1930PNAS...16..308A
853:1944PNAS...30...90A
800:1944PNAS...30..144A
747:1949PNAS...35..317A
694:1950PNAS...36..372A
641:1955PNAS...41..639A
588:1957PNAS...43..506A
272:Columbia University
252:Bachelor of Science
242:A first generation
170:Murray Gerstenhaber
136:Columbia University
2011:Arthur Byron Coble
1952:Gilbert Ames Bliss
1804:Presidents of the
1610:(265): 184. 1941.
374:has a profile for
214:finite-dimensional
178:Richard D. Schafer
2414:
2413:
2225:Andrew M. Gleason
2182:Saunders Mac Lane
2126:Edward J. McShane
2051:Marshall H. Stone
2035:Griffith C. Evans
2019:Solomon Lefschetz
1896:Henry Seely White
1698:978-0-595-32817-8
1688:Nancy E. Albert,
1450:Kaplansky, Irving
548:978-0-8218-0007-2
512:978-0-8218-0005-8
419:978-1-107-54462-8
380:
276:Abelian varieties
246:, he was born in
217:division algebras
191:
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158:Doctoral students
116:Scientific career
110:
16:(Redirected from
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493:Jacobson, Nathan
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147:Doctoral advisor
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232:Jordan algebras
225:Albert algebras
182:Daniel Zelinsky
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96:Albert algebras
82:Alma mater
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1760:Google Scholar
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1726:"A. A. Albert"
1717:
1706:
1705:External links
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1664:(5): 323–325.
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1574:(7): 587–591.
1556:Baer, Reinhold
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394:A. A. Albert,
390:
387:
370:
363:
362:
361:
359:
356:
334:technologies.
239:
236:
189:
188:
185:
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159:
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133:
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99:
98:
93:
92:Known for
89:
88:
83:
79:
78:
75:
73:(aged 66)
67:
63:
62:
56:
43:
41:
37:
36:
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26:
9:
6:
4:
3:
2:
2509:
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2424:
2422:
2405:
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2389:
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2372:Robert Bryant
2369:
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2341:
2337:
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2310:
2306:
2298:
2297:Felix Browder
2294:
2290:
2286:
2282:
2278:
2274:
2273:Ronald Graham
2270:
2266:
2265:Michael Artin
2262:
2258:
2254:
2250:
2249:George Mostow
2246:
2242:
2238:
2234:
2230:
2226:
2222:
2218:
2214:
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2198:
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2163:
2159:
2155:
2151:
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2143:
2139:
2135:
2131:
2127:
2123:
2119:
2115:
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2107:
2103:
2099:
2095:
2091:
2090:
2088:
2084:
2076:
2072:
2068:
2064:
2060:
2056:
2052:
2048:
2044:
2043:Marston Morse
2040:
2036:
2032:
2028:
2024:
2020:
2016:
2012:
2008:
2004:
2000:
1996:
1992:
1988:
1987:Virgil Snyder
1984:
1980:
1976:
1975:
1973:
1969:
1961:
1960:Oswald Veblen
1957:
1953:
1949:
1945:
1941:
1937:
1933:
1929:
1925:
1921:
1917:
1913:
1909:
1905:
1904:Maxime Bôcher
1901:
1897:
1893:
1889:
1885:
1881:
1877:
1873:
1869:
1868:
1866:
1862:
1854:
1850:
1846:
1845:Simon Newcomb
1842:
1838:
1834:
1830:
1826:
1822:
1818:
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1807:
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1426:
1420:
1416:
1404:
1400:
1395:
1390:
1385:
1380:
1376:
1372:
1369:(12): 904–6.
1368:
1364:
1360:
1355:
1351:
1347:
1342:
1337:
1332:
1327:
1323:
1319:
1315:
1311:
1307:
1302:
1298:
1294:
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1279:
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1266:
1262:
1258:
1254:
1249:
1245:
1241:
1236:
1231:
1226:
1221:
1218:(6): 389–92.
1217:
1213:
1209:
1204:
1200:
1196:
1191:
1186:
1181:
1176:
1172:
1168:
1164:
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1111:
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1075:
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1066:
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1058:
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1041:
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1032:
1027:
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1017:
1013:
1009:
1005:
1001:
997:
992:
988:
984:
979:
974:
969:
964:
960:
956:
953:(12): 906–7.
952:
948:
944:
939:
935:
931:
926:
921:
916:
911:
907:
903:
900:(4): 308–12.
899:
895:
891:
886:
882:
878:
873:
868:
863:
858:
854:
850:
846:
842:
838:
833:
829:
825:
820:
815:
810:
805:
801:
797:
793:
789:
785:
780:
776:
772:
767:
762:
757:
752:
748:
744:
741:(6): 317–22.
740:
736:
732:
727:
723:
719:
714:
709:
704:
699:
695:
691:
687:
683:
679:
674:
670:
666:
661:
656:
651:
646:
642:
638:
635:(9): 639–40.
634:
630:
626:
621:
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613:
608:
603:
598:
593:
589:
585:
581:
577:
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568:
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494:
489:
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456:
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448:
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444:0-8218-1024-3
441:
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382:
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312:
310:
307:
303:
298:
295:
293:
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285:
281:
277:
273:
269:
265:
261:
258:in 1927, and
257:
253:
249:
245:
235:
233:
230:
226:
222:
221:number fields
218:
215:
211:
207:
203:
199:
198:mathematician
195:
186:
183:
179:
175:
171:
167:
163:
162:Richard Block
160:
156:
153:
152:L. E. Dickson
150:
148:
144:
141:
137:
134:
130:
127:
124:
120:
117:
113:
107:
104:
100:
97:
94:
90:
87:
84:
80:
68:
64:
59:
42:
38:
31:
19:
2396:Ruth Charney
2332:James Arthur
2289:Arthur Jaffe
1944:Frank Morley
1880:Thomas Fiske
1729:
1711:A. A. Albert
1689:
1661:
1657:
1648:
1640:
1607:
1603:
1597:
1590:
1571:
1567:
1561:
1550:
1531:
1527:
1518:
1510:
1498:. Retrieved
1478:
1467:. Retrieved
1457:
1444:
1433:
1419:
1366:
1362:
1316:(4): 372–6.
1313:
1309:
1263:(4): 313–5.
1260:
1256:
1215:
1211:
1162:
1158:
1112:(7): 480–2.
1109:
1105:
1059:(9): 624–5.
1056:
1052:
1006:(3): 446–7.
1003:
999:
950:
946:
897:
893:
844:
840:
794:(6): 144–6.
791:
787:
738:
734:
688:(7): 372–4.
685:
681:
632:
628:
582:(6): 506–9.
579:
575:
533:
497:
483:
474:
466:
458:
450:
431:
427:
404:
395:
376:
358:Publications
336:
324:cryptography
320:World War II
313:
299:
296:
280:endomorphism
241:
193:
192:
132:Institutions
115:
71:(1972-06-06)
69:June 6, 1972
34:A. A. Albert
2432:1972 deaths
2427:1905 births
2406:(2023–2024)
2398:(2021–2022)
2390:(2019–2020)
2388:Jill Pipher
2382:(2017–2018)
2374:(2015–2016)
2366:(2013–2014)
2364:David Vogan
2358:(2011–2012)
2350:(2009–2010)
2342:(2007–2008)
2340:James Glimm
2334:(2005–2006)
2326:(2003–2004)
2318:(2001–2002)
2299:(1999–2000)
2291:(1997–1998)
2283:(1995–1996)
2275:(1993–1994)
2267:(1991–1992)
2259:(1989–1990)
2251:(1987–1988)
2243:(1985–1986)
2235:(1983–1984)
2227:(1981–1982)
2219:(1979–1980)
2211:(1977–1978)
2203:(1975–1976)
2201:Lipman Bers
2184:(1973–1974)
2176:(1971–1972)
2168:(1969–1970)
2160:(1967–1968)
2152:(1965–1966)
2144:(1963–1964)
2136:(1961–1962)
2128:(1959–1960)
2120:(1957–1958)
2112:(1955–1956)
2104:(1953–1954)
2096:(1951–1952)
2077:(1949–1950)
2069:(1947–1948)
2067:Einar Hille
2061:(1945–1946)
2053:(1943–1944)
2045:(1941–1942)
2037:(1939–1940)
2029:(1937–1938)
2021:(1935–1936)
2013:(1933–1934)
2005:(1931–1932)
1997:(1929–1930)
1989:(1927–1928)
1981:(1925–1926)
1962:(1923–1924)
1954:(1921–1922)
1946:(1919–1920)
1938:(1917–1918)
1930:(1915–1916)
1922:(1913–1914)
1914:(1911–1912)
1906:(1909–1910)
1898:(1907–1908)
1890:(1905–1906)
1882:(1903–1904)
1874:(1901–1902)
1872:E. H. Moore
1855:(1899–1900)
1847:(1897–1898)
1839:(1895–1896)
1831:(1891–1894)
1823:(1888–1890)
1596:"Review of
847:(4): 90–5.
306:associative
229:exceptional
126:mathematics
76:Chicago, US
2421:Categories
2316:Hyman Bass
2209:R. H. Bing
1469:2023-11-04
1411:References
345:, and the
278:and their
202:Cole Prize
106:Cole Prize
50:1905-11-09
2404:Bryna Kra
2380:Ken Ribet
2308:2001–2024
2217:Peter Lax
2193:1975–2000
2086:1951–1974
1971:1925–1950
1864:1901–1924
1813:1888–1900
1767:from the
1647:"Review:
1517:"Review:
379:(Q323442)
354:in 1968.
254:in 1926,
1558:(1940).
1491:Archived
1403:16587419
1350:16587486
1297:16587574
1244:16587641
1199:16587930
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1093:16589918
1040:16578544
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669:16589719
616:16590045
438:, 2003,
309:algebras
244:American
1713:at the
1632:4088670
1624:3607394
1500:6 April
1394:1085795
1371:Bibcode
1318:Bibcode
1265:Bibcode
1235:1076070
1190:1076512
1167:Bibcode
1114:Bibcode
1061:Bibcode
1008:Bibcode
978:1085796
955:Bibcode
902:Bibcode
872:1078675
849:Bibcode
819:1078686
796:Bibcode
766:1063026
743:Bibcode
713:1063206
690:Bibcode
637:Bibcode
584:Bibcode
557:1213452
521:1213451
486:. 1968.
398:, 1928.
372:Scholia
290:of the
256:Masters
248:Chicago
58:Chicago
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1630:
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341:, the
314:As an
122:Fields
109:(1939)
102:Awards
1758:from
1654:(PDF)
1628:S2CID
1620:JSTOR
1524:(PDF)
1494:(PDF)
1487:(PDF)
389:Books
219:over
1694:ISBN
1502:2011
1399:PMID
1346:PMID
1293:PMID
1240:PMID
1195:PMID
1142:PMID
1089:PMID
1036:PMID
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930:PMID
877:PMID
824:PMID
771:PMID
718:PMID
665:PMID
612:PMID
543:ISBN
507:ISBN
440:ISBN
414:ISBN
350:the
66:Died
60:, US
40:Born
1666:doi
1612:doi
1576:doi
1536:doi
1389:PMC
1379:doi
1336:PMC
1326:doi
1283:PMC
1273:doi
1230:PMC
1220:doi
1185:PMC
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1132:PMC
1122:doi
1079:PMC
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1026:PMC
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973:PMC
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920:PMC
910:doi
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857:doi
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