Knowledge (XXG)

Ricardo Baeza Rodríguez

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Baeza became a member of the Chilean Academy of Sciences in 1983. He was the 2009 winner of the Chilean
339: 375: 121:, under the joint supervision of Robert W. Berger and Manfred Knebusch. His research interest is in 672: 170: 118: 114: 91: 58: 179: 154: 1002: 971: 613: 598: 929: 887: 949: 907: 758: 433: 389: 1065: 1014: 983: 941: 899: 809:"Miembro de Excelencia: Ricardo Baeza será distinguido por la American Mathematical Society" 605:
of characteristic two. Using this result, they deduced the characteristic two analogue of
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two; it had been previously proved in other characteristics. The theorem states that if
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In 2003, Baeza and Aravire studied quadratic forms and
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over a field of characteristic two. In particular, if
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List of Fellows of the American Mathematical Society
791:, Chilean Academy of Sciences, retrieved 2015-01-12. 87: 77: 69: 64: 52: 47: 36: 1003:"Relations in I n and I n W q in characteristic 2" 735: 659: 582: 458: 414: 363: 328: 277: 212: 1001:Arason, Jón Kr.; Baeza, Ricardo (August 2007). 1089: 736:{\displaystyle I^{n}W_{q}(K)\subset W_{q}(K)} 8: 1135:Fellows of the American Mathematical Society 928:Aravire, Ricardo; Aravire, Roberto (1992). 1096: 1082: 847: 845: 137:. In 2012, he became one of the inaugural 33: 1130:Academic staff of the University of Talca 970:Aravire, Roberto; Baeza, Ricardo (2003). 718: 696: 686: 680: 627: 621: 565: 555: 546: 531: 515: 493: 480: 474: 441: 435: 397: 391: 341: 329:{\displaystyle (\pi (t))\otimes q\cong q} 294: 258: 229: 181: 815:, University of Talca, November 16, 2012 743:, generated by quadratic Pfister forms. 803: 801: 799: 797: 778: 603:function fields of an algebraic variety 378:introduced a modification of Milnor's 145:, the only Chilean to be so honored. 7: 1050: 1048: 965: 963: 923: 921: 881: 879: 784: 782: 755:Quadratic Forms Over Semilocal Rings 660:{\displaystyle I^{n}(K)\subset W(K)} 1145:21st-century Chilean mathematicians 1140:20th-century Chilean mathematicians 117:. He earned his Ph.D. in 1970 from 1068:. You can help Knowledge (XXG) by 612:In 2007, Baeza and Arason found a 278:{\displaystyle F(\pi ):=F/\pi (t)} 14: 430:, then one can construct a group 135:National Prize for Exact Sciences 1052: 426:of quadratic forms over a field 364:{\displaystyle q\otimes F(\pi )} 113:who works as a professor at the 1019:10.1016/j.jalgebra.2007.05.004 730: 724: 708: 702: 654: 648: 639: 633: 577: 571: 543: 537: 508: 505: 499: 453: 447: 409: 403: 358: 352: 311: 308: 302: 296: 272: 266: 255: 249: 240: 234: 207: 201: 192: 186: 1: 988:10.1016/S0021-8693(02)00568-9 837:Mathematics Genealogy Project 143:American Mathematical Society 607:Knebusch's degree conjecture 213:{\displaystyle \pi (t)\in F} 23:, the first or paternal 1166: 1125:Saarland University alumni 1047: 153:In 1990, Baeza proved the 18: 946:10.1080/00927879208824393 934:Communications in Algebra 904:10.1080/00927879008823968 892:Communications in Algebra 97: 43: 459:{\displaystyle k_{n}(F)} 415:{\displaystyle W_{q}(F)} 886:Baeza, Ricardo (1990). 873:, retrieved 2015-01-12. 833:Ricardo Baeza Rodríguez 753:Baeza, Ricardo (2006). 104:Ricardo Baeza Rodríguez 38:Ricardo Baeza Rodríguez 16:Chilean number theorist 737: 661: 584: 460: 416: 365: 330: 279: 222:irreducible polynomial 214: 1060:This article about a 738: 662: 585: 461: 417: 366: 331: 280: 215: 679: 675:, and of the groups 620: 473: 434: 390: 340: 293: 228: 180: 1150:Mathematician stubs 590:for every value of 374:In 1992, Baeza and 119:Saarland University 115:University of Talca 92:University of Talca 59:Saarland University 48:Academic background 1007:Journal of Algebra 976:Journal of Algebra 733: 657: 614:group presentation 599:differential forms 580: 456: 412: 361: 326: 285:the corresponding 275: 210: 1077: 1076: 859:, August 27, 2009 165:is a nonsingular 101: 100: 1157: 1120:Number theorists 1098: 1091: 1084: 1056: 1049: 1041: 1040: 1038:Official website 1023: 1022: 998: 992: 991: 967: 958: 957: 940:(4): 1087–1107. 925: 916: 915: 898:(5): 1337–1348. 883: 874: 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Springer. 754: 747:Publications 668: 611: 596: 591: 427: 422:denotes the 373: 173: 162: 155:norm theorem 152: 132: 103: 102: 88:Institutions 28: 21:Spanish name 468:isomorphism 220:be a monic 73:Mathematics 1109:Categories 819:2015-01-12 773:References 424:Witt group 70:Discipline 54:Alma mater 954:0092-7872 912:0092-7872 857:Nacion.cl 712:⊂ 643:⊂ 520:− 509:→ 356:π 347:⊗ 321:≅ 315:⊗ 300:π 264:π 238:π 196:∈ 184:π 380:k-theory 289:), then 149:Research 19:In this 835:at the 466:and an 169:over a 141:of the 139:fellows 108:Chilean 25:surname 952:  910:  761:  224:(with 176:, and 129:Career 1064:is a 171:field 157:over 106:is a 29:Baeza 1066:stub 950:ISSN 908:ISSN 759:ISBN 382:for 1015:doi 1011:314 984:doi 980:259 942:doi 900:doi 27:is 1111:: 1009:. 1005:. 978:. 974:. 962:^ 948:. 938:20 936:. 932:. 920:^ 906:. 896:18 894:. 890:. 878:^ 855:, 844:^ 811:, 796:^ 781:^ 609:. 594:. 244::= 125:. 1097:e 1090:t 1083:v 1072:. 1021:. 1017:: 990:. 986:: 956:. 944:: 914:. 902:: 861:. 839:. 823:. 767:. 731:) 728:K 725:( 720:q 716:W 709:) 706:K 703:( 698:q 694:W 688:n 684:I 669:n 655:) 652:K 649:( 646:W 640:) 637:K 634:( 629:n 625:I 592:n 578:) 575:F 572:( 567:q 563:W 557:n 553:I 548:/ 544:) 541:F 538:( 533:q 529:W 523:1 517:n 513:I 506:) 503:F 500:( 495:n 491:h 487:: 482:n 478:s 454:) 451:F 448:( 443:n 439:k 428:F 410:) 407:F 404:( 399:q 395:W 359:) 353:( 350:F 344:q 324:q 318:q 312:) 309:) 306:t 303:( 297:( 273:) 270:t 267:( 260:/ 256:] 253:t 250:[ 247:F 241:) 235:( 232:F 208:] 205:t 202:[ 199:F 193:) 190:t 187:( 174:F 163:q 31:.

Index

Spanish name
surname
Alma mater
Saarland University
Number theory
University of Talca
Chilean
mathematician
University of Talca
Saarland University
number theory
National Prize for Exact Sciences
fellows
American Mathematical Society
norm theorem
characteristic
quadratic form
field
irreducible polynomial
field extension
Roberto Aravire
k-theory
quadratic forms
Witt group
isomorphism
differential forms
function fields of an algebraic variety
Knebusch's degree conjecture
group presentation
Pfister forms

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