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Joachim Lambek

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Lambek became assistant professor at McGill; he was made a full professor in 1963. He spent his sabbatical year 1965–66 in at the
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Lambek supervised 17 doctoral students, and has 75 doctoral descendants as of 2020. He has over 100 publications listed in the
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Categories and Types in Logic, Language, and Physics: Essays Dedicated to Jim Lambek on the Occasion of His 90th Birthday
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Resolution on the Death of Emeritus Professor Joachim (Jim) Lambek, Department of Mathematics and Statistics
1477: 1457: 1452: 871:— (1969). "Deductive systems and categories II. Standard constructions and closed categories". 441:
about integer sequences. In 1963 he published an important result, now known as Lambek's theorem, on
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when in 1995 he contributed "If Hamilton had prevailed: Quaternions in Physics", which exhibited the
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A: Biquaternion Vectorfields over Minkowski's Space B: The Immersibility of a Semigroup into a Group
565:. Seminar lectures given in 1966 in ZĂĽrich. Lecture Notes in Mathematics, No. 24. Berlin, New York: 1260: 400: 276: 1348: 1045: 1015: 860: 830: 777: 739: 415: 345: 1084: 1409: 1238: 1228: 1201: 1093: 1065: 999: 963: 925: 894: 884: 822: 769: 699: 680: 653: 616: 533: 511: 248: 172: 108: 1399: 1338: 1220: 1111: 1106: 1037: 991: 953: 915: 876: 850: 814: 761: 729: 486: 442: 430: 368: 195: 1292: 1011: 975: 937: 789: 667: 630: 595: 574: 553: 525: 1288: 1061: 1007: 971: 933: 785: 663: 649: 626: 591: 587: 570: 566: 549: 537: 521: 462: 450: 392: 349: 322: 285: 256: 200: 130: 122: 69: 797: 1373: 605: 542: 314: 1446: 1352: 1049: 958: 920: 864: 750:—; Moser, L. (1954), "Inverse and Complementary Sequences of Natural Numbers", 743: 426: 298: 237: 215: 1019: 1188: 466: 408: 388: 384: 353: 341: 875:. Vol. 86. Berlin, Heidelberg: Springer Berlin Heidelberg. pp. 76–122. 639: 505: 1436: 995: 364: 290: 158: 87: 1224: 337: 1413: 1305:
Casadio, Claudia; Coeke, Bob; Moortgat, Michael; Scott, Philip, eds. (2014),
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MĂĽller-Hoissen, Folkert; Pallo, Jean Marcel; Stasheff, Jim, eds. (2012).
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Lambek, Joachim (1951), "The immersibility of a semigroup into a group",
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was published. On the occasion of Lambek's 90th birthday, a collection
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in fall of 1941. In the spring of 1942, he was released and settled in
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From word to sentence: a computational algebraic approach to grammar
313:, where he entered studies at McGill University, graduating with an 1388:"A Module is Flat if and Only if its Character Module is Injective" 1281:
The Lambek Festschrift: mathematical structures in computer science
1242: 1219:. Progress in Mathematics. Vol. 299. Birkhäuser. p. 18. 586:. Lecture Notes in Mathematics. Vol. 177. Berlin, New York: 429:, especially torsion theories, non-commutative localization, and 367:
celebrating Lambek's contributions to mathematical structures in
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characterizing flatness of a module. His more recent work is in
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Torsion theories, additive semantics, and rings of quotients
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had gathered together a group of researchers interested in
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Lambek retired in 1992 but continued his involvement at
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a year later. In 1950, he completed his doctorate under
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Computational Algebraic Approaches to Natural Language
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to express the free-space electromagnetic equations.
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Associahedra, Tamari Lattices and Related Structures
1200:. Faculty of Science: Meeting of Faculty. Montreal: 906:— (1972), "Bicommutators of nice injectives", 473:, as well as for developing the connections between 373:
Categories and Types in Logic, Language, and Physics
206: 194: 178: 164: 154: 136: 114: 104: 94: 76: 51: 32: 604: 541: 453:; his earliest works in this field were probably 236:(5 December 1922 – 23 June 2014) was a Canadian 1325:"The immersibility of a semigroup into a group" 944:— (1972), "Localization and completion", 469:, and a work that has been very influential in 1279:; Scott, P. J.; Seely, R. A. G., eds. (2000), 1132:"The recipients of the Jeffery-Williams Prize" 607:Introduction to Higher Order Categorical Logic 8: 1183: 1181: 403:. The second component was published by the 461:. He is noted, among other things, for the 434: 1372: 1056:Wilson, Robin; Gray, Jeremy, eds. (2001). 40: 29: 1403: 1342: 957: 919: 854: 733: 544:Rings of quotients of rings of functions 169:Department of Mathematics and Statistics 46:Joachim Lambek in Philadelphia, May 2008 1262:An appreciation of Jim Lambek at McGill 1123: 798:"The Mathematics of Sentence Structure" 1154: 1152: 510:(3rd ed.). Blaisdell Publishing. 458: 454: 7: 1468:21st-century Canadian mathematicians 1463:20th-century Canadian mathematicians 946:Journal of Pure and Applied Algebra 334:Institute for Mathematical Research 289:. From there he was interned as an 1473:21st-century German mathematicians 675:Casadio, Claudia; — (2008). 646:Undergraduate Texts in Mathematics 483:Curry–Howard–Lambek correspondence 317:mathematics degree in 1945 and an 279:. He came to England in 1938 as a 127:Curry–Howard–Lambek correspondence 27:Canadian mathematician (1922–2014) 25: 1431:Faculty profile of Joachim Lambek 806:The American Mathematical Monthly 753:The American Mathematical Monthly 383:Lambek's PhD thesis investigated 375:was produced in tribute to him. 1330:Canadian Journal of Mathematics 722:Canadian Journal of Mathematics 638:Anglin, W. S.; — (1995). 433:. One of his earliest papers, 405:Canadian Journal of Mathematics 361:McGill's mathematics department 1392:Canadian Mathematical Bulletin 843:Canadian Mathematical Bulletin 603:—; Scott, P. J. (1986). 1: 1370:Mathematics Genealogy Project 1136:Canadian Mathematical Society 507:Lectures on rings and modules 245:Professor of Pure Mathematics 959:10.1016/0022-4049(72)90011-4 921:10.1016/0021-8693(72)90034-8 873:Lecture Notes in Mathematics 996:10.1515/thli.1979.6.1-3.221 548:. McGill University Press. 479:cartesian closed categories 307:McGill Junior Matriculation 1519: 1498:German emigrants to Canada 1285:Cambridge University Press 1166:. Legacy.com. 27 June 2014 1058:Mathematical Conversations 1029:Mathematical Intelligencer 613:Cambridge University Press 485:). His last works were on 1225:10.1007/978-3-0348-0405-9 563:Completions of categories 504:Lambek, Joachim (2009) . 471:computational linguistics 435:Lambek & Moser (1954) 222: 147: 39: 1503:McGill University alumni 1493:Kindertransport refugees 1086:In Praise of Quaternions 325:becoming McGill's first 1265:. LambekFest. Montreal. 984:Theoretical Linguistics 407:. He later returned to 240:. He was Peter Redpath 1405:10.4153/CMB-1964-021-9 1344:10.4153/CJM-1951-005-8 856:10.4153/CMB-1961-032-6 735:10.4153/CJM-1951-005-8 641:The heritage of Thales 275:, where he attended a 251:, where he earned his 141:Jeffery–Williams Prize 475:typed lambda calculus 1433:at McGill University 648:. Berlin, New York: 439:Lambek–Moser theorem 423:Mathematical Reviews 255:degree in 1950 with 229:Joachim "Jim" Lambek 119:Lambek–Moser theorem 1386:Lambek, J. (1964). 1259:(5 December 1997). 1191:(2 December 2014). 413:Riemann–Silberstein 267:Lambek was born in 1488:Category theorists 1483:Canadian logicians 1439:(80th anniversary) 1042:10.1007/BF03024783 908:Journal of Algebra 881:10.1007/bfb0079385 540:; — (1966). 346:algebraic topology 293:and deported to a 1309:, Springer-Verlag 1234:978-3-0348-0404-2 1202:McGill University 1094:McGill University 1071:978-1-4613-0195-0 890:978-3-540-04605-9 705:978-88-7699-117-2 686:978-88-7699-125-7 659:978-0-387-94544-6 622:978-0-521-35653-4 443:character modules 431:injective modules 249:McGill University 226: 225: 207:Doctoral students 173:McGill University 149:Scientific career 109:McGill University 16:(Redirected from 1510: 1418: 1417: 1407: 1383: 1377: 1376: 1363: 1357: 1356: 1346: 1317: 1311: 1310: 1302: 1296: 1295: 1273: 1267: 1266: 1253: 1247: 1246: 1212: 1206: 1205: 1199: 1185: 1176: 1175: 1173: 1171: 1164:Montreal Gazette 1160:"Joachim Lambek" 1156: 1147: 1146: 1144: 1142: 1128: 1112:Michael K. Brame 1107:Cartesian monoid 1096: 1091: 1075: 1053: 1022: 978: 961: 940: 923: 902: 867: 858: 837: 802: 796:— (1958), 792: 746: 737: 709: 694:— (2008). 690: 671: 634: 610: 599: 582:— (1971). 578: 561:— (1966). 557: 547: 538:Gillman, Leonard 529: 487:pregroup grammar 451:formal languages 369:computer science 329:in mathematics. 295:prison work camp 235: 216:William Schelter 196:Doctoral advisor 190: 83: 62:December 5, 1922 61: 59: 44: 30: 21: 1518: 1517: 1513: 1512: 1511: 1509: 1508: 1507: 1443: 1442: 1437:Lambek festival 1427: 1422: 1421: 1385: 1384: 1380: 1364: 1360: 1319: 1318: 1314: 1304: 1303: 1299: 1275: 1274: 1270: 1255: 1254: 1250: 1235: 1214: 1213: 1209: 1197: 1187: 1186: 1179: 1169: 1167: 1158: 1157: 1150: 1140: 1138: 1130: 1129: 1125: 1120: 1103: 1089: 1078: 1072: 1062:Springer-Verlag 1055: 1025: 981: 943: 905: 891: 870: 840: 819:10.2307/2310058 800: 795: 766:10.2307/2308078 749: 719: 716: 706: 698:. Polimetrica. 693: 687: 679:. Polimetrica. 674: 660: 650:Springer-Verlag 637: 623: 602: 588:Springer-Verlag 581: 567:Springer-Verlag 560: 532: 518: 503: 500: 495: 463:Lambek calculus 399:immersion in a 393:Minkowski space 381: 350:category theory 323:Hans Zassenhaus 286:Kindertransport 265: 257:Hans Zassenhaus 231: 214: 201:Hans Zassenhaus 188: 171: 131:multicategories 123:Lambek calculus 105:Alma mater 90: 85: 81: 72: 63: 57: 55: 47: 35: 28: 23: 22: 15: 12: 11: 5: 1516: 1514: 1506: 1505: 1500: 1495: 1490: 1485: 1480: 1475: 1470: 1465: 1460: 1455: 1445: 1444: 1441: 1440: 1434: 1426: 1425:External links 1423: 1420: 1419: 1398:(2): 237–243. 1378: 1366:Joachim Lambek 1358: 1312: 1297: 1268: 1248: 1233: 1207: 1177: 1148: 1122: 1121: 1119: 1116: 1115: 1114: 1109: 1102: 1099: 1098: 1097: 1076: 1070: 1023: 990:(2): 221–234, 979: 952:(4): 343–370, 941: 903: 889: 868: 849:(3): 295–302, 838: 813:(3): 154–170, 793: 760:(7): 454–458, 747: 715: 712: 711: 710: 704: 691: 685: 672: 658: 635: 621: 600: 579: 558: 530: 516: 499: 496: 494: 493:Selected works 491: 380: 379:Scholarly work 377: 264: 261: 224: 223: 220: 219: 211:Israel Kleiner 208: 204: 203: 198: 192: 191: 182: 176: 175: 166: 162: 161: 156: 152: 151: 145: 144: 138: 134: 133: 116: 115:Known for 112: 111: 106: 102: 101: 96: 92: 91: 86: 84:(aged 91) 78: 74: 73: 64: 53: 49: 48: 45: 37: 36: 34:Joachim Lambek 33: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1515: 1504: 1501: 1499: 1496: 1494: 1491: 1489: 1486: 1484: 1481: 1479: 1476: 1474: 1471: 1469: 1466: 1464: 1461: 1459: 1456: 1454: 1451: 1450: 1448: 1438: 1435: 1432: 1429: 1428: 1424: 1415: 1411: 1406: 1401: 1397: 1393: 1389: 1382: 1379: 1375: 1371: 1367: 1362: 1359: 1354: 1350: 1345: 1340: 1336: 1332: 1331: 1326: 1322: 1316: 1313: 1308: 1301: 1298: 1294: 1290: 1286: 1282: 1278: 1277:Barr, Michael 1272: 1269: 1264: 1263: 1258: 1257:Barr, Michael 1252: 1249: 1244: 1240: 1236: 1230: 1226: 1222: 1218: 1211: 1208: 1203: 1196: 1195: 1190: 1189:Darmon, Henri 1184: 1182: 1178: 1165: 1161: 1155: 1153: 1149: 1137: 1133: 1127: 1124: 1117: 1113: 1110: 1108: 1105: 1104: 1100: 1095: 1088: 1087: 1082: 1081:Barr, Michael 1077: 1073: 1067: 1063: 1059: 1054:Reprinted in 1051: 1047: 1043: 1039: 1035: 1031: 1030: 1024: 1021: 1017: 1013: 1009: 1005: 1001: 997: 993: 989: 985: 980: 977: 973: 969: 965: 960: 955: 951: 947: 942: 939: 935: 931: 927: 922: 917: 913: 909: 904: 900: 896: 892: 886: 882: 878: 874: 869: 866: 862: 857: 852: 848: 844: 839: 836: 832: 828: 824: 820: 816: 812: 808: 807: 799: 794: 791: 787: 783: 779: 775: 771: 767: 763: 759: 755: 754: 748: 745: 741: 736: 731: 727: 723: 718: 717: 713: 707: 701: 697: 692: 688: 682: 678: 673: 669: 665: 661: 655: 651: 647: 643: 642: 636: 632: 628: 624: 618: 614: 609: 608: 601: 597: 593: 589: 585: 580: 576: 572: 568: 564: 559: 555: 551: 546: 545: 539: 535: 531: 527: 523: 519: 517:9780821849002 513: 509: 508: 502: 501: 497: 492: 490: 488: 484: 480: 476: 472: 468: 464: 460: 459:Lambek (1979) 456: 455:Lambek (1958) 452: 448: 444: 440: 437:, proved the 436: 432: 428: 427:module theory 424: 419: 417: 414: 410: 409:biquaternions 406: 402: 398: 395:, as well as 394: 391:algebra over 390: 386: 385:vector fields 378: 376: 374: 370: 366: 362: 357: 355: 351: 347: 343: 339: 335: 330: 328: 324: 320: 316: 312: 308: 304: 300: 299:New Brunswick 296: 292: 288: 287: 282: 278: 274: 270: 262: 260: 258: 254: 250: 246: 243: 239: 238:mathematician 234: 230: 221: 217: 212: 209: 205: 202: 199: 197: 193: 186: 183: 181: 177: 174: 170: 167: 163: 160: 157: 153: 150: 146: 142: 139: 135: 132: 128: 124: 120: 117: 113: 110: 107: 103: 100: 97: 93: 89: 80:June 23, 2014 79: 75: 71: 67: 54: 50: 43: 38: 31: 19: 1395: 1391: 1381: 1361: 1334: 1328: 1320: 1315: 1306: 1300: 1280: 1271: 1261: 1251: 1216: 1210: 1204:. p. 2. 1193: 1168:. Retrieved 1163: 1139:. Retrieved 1135: 1126: 1085: 1057: 1033: 1027: 987: 983: 949: 945: 911: 907: 872: 846: 842: 810: 804: 757: 751: 725: 721: 695: 676: 640: 606: 583: 562: 543: 506: 467:logical form 420: 389:biquaternion 382: 372: 363:. In 2000 a 358: 354:Bill Lawvere 352:, including 342:Beno Eckmann 331: 284: 266: 259:as advisor. 228: 227: 184: 165:Institutions 148: 82:(2014-06-23) 1478:Algebraists 1458:2014 deaths 1453:1922 births 1036:(4): 7–15. 534:Fine, N. J. 365:festschrift 291:enemy alien 159:Mathematics 95:Citizenship 1447:Categories 1321:Lambek, J. 1243:2012942603 1170:31 October 1141:1 November 1118:References 387:using the 338:ETH Zurich 58:1922-12-05 1414:0008-4395 1353:124979541 1337:: 34–43. 1079:—; 1050:120099630 1004:0301-4428 968:0022-4049 930:0021-8693 914:: 60–73, 899:0075-8434 865:121506469 827:0002-9890 774:0002-9890 744:124979541 728:: 34–43, 447:pregroups 397:semigroup 277:Gymnasium 263:Biography 1323:(1951). 1101:See also 1083:(2013), 1020:62697835 714:Articles 416:bivector 340:, where 311:Montreal 242:Emeritus 99:Canadian 88:MontrĂ©al 1368:at the 1293:1770227 1012:0589163 976:0320047 938:0301052 835:1480361 790:0062777 782:2308078 668:1369087 631:0856915 596:0284459 575:0209330 554:0200747 526:0206032 315:honours 283:on the 281:refugee 273:Germany 269:Leipzig 70:Germany 66:Leipzig 1412:  1351:  1291:  1241:  1231:  1068:  1048:  1018:  1010:  1002:  974:  966:  936:  928:  897:  887:  863:  833:  825:  788:  780:  772:  742:  702:  683:  666:  656:  629:  619:  594:  573:  552:  524:  514:  303:Canada 218:(1972) 213:(1967) 189:(1950) 187:  180:Thesis 155:Fields 143:(1988) 137:Awards 18:Lambek 1349:S2CID 1198:(PDF) 1090:(PDF) 1046:S2CID 1016:S2CID 861:S2CID 831:JSTOR 801:(PDF) 778:JSTOR 740:S2CID 498:Books 481:(see 401:group 1410:ISSN 1239:LCCN 1229:ISBN 1172:2018 1143:2018 1066:ISBN 1000:ISSN 964:ISSN 926:ISSN 895:ISSN 885:ISBN 823:ISSN 770:ISSN 700:ISBN 681:ISBN 654:ISBN 617:ISBN 512:ISBN 477:and 457:and 449:and 348:and 233:FRSC 77:Died 52:Born 1400:doi 1339:doi 1221:doi 1038:doi 992:doi 954:doi 916:doi 877:doi 851:doi 815:doi 762:doi 730:doi 336:at 327:PhD 319:MSc 297:in 253:PhD 247:at 1449:: 1408:. 1394:. 1390:. 1347:. 1333:. 1327:. 1289:MR 1287:, 1283:, 1237:. 1227:. 1180:^ 1162:. 1151:^ 1134:. 1092:, 1064:. 1060:. 1044:. 1034:17 1032:. 1014:, 1008:MR 1006:, 998:, 986:, 972:MR 970:, 962:, 948:, 934:MR 932:, 924:, 912:21 910:, 893:. 883:. 859:, 845:, 829:, 821:, 811:65 809:, 803:, 786:MR 784:, 776:, 768:, 758:61 756:, 738:, 724:, 664:MR 662:. 652:. 644:. 627:MR 625:. 615:. 611:. 592:MR 590:. 571:MR 569:. 550:MR 536:; 522:MR 520:. 489:. 301:, 271:, 129:, 125:, 121:, 68:, 1416:. 1402:: 1396:7 1355:. 1341:: 1335:3 1245:. 1223:: 1174:. 1145:. 1074:. 1052:. 1040:: 994:: 988:6 956:: 950:2 918:: 901:. 879:: 853:: 847:4 817:: 764:: 732:: 726:3 708:. 689:. 670:. 633:. 598:. 577:. 556:. 528:. 60:) 56:( 20:)

Index

Lambek

Leipzig
Germany
Montréal
Canadian
McGill University
Lambek–Moser theorem
Lambek calculus
Curry–Howard–Lambek correspondence
multicategories
Jeffery–Williams Prize
Mathematics
Department of Mathematics and Statistics
McGill University
Thesis
Doctoral advisor
Hans Zassenhaus
Israel Kleiner
William Schelter
FRSC
mathematician
Emeritus
Professor of Pure Mathematics
McGill University
PhD
Hans Zassenhaus
Leipzig
Germany
Gymnasium

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