Algebra"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. |
From inside the book
Serge Lang. Graduate Texts in Mathematics 211 Editorial Board S. Axler F.W. Gehring K.A. Ribet This One POQC - 7A8-514E BOOKS OF RELATED INTEREST BY SERGE LANG Math Talks for.
Serge Lang. BOOKS OF RELATED INTEREST BY SERGE LANG Math Talks for Undergraduates 1999 , ISBN 0-387-98749-5 Linear Algebra , Third Edition 1987 , ISBN 0-387-96412-6 Undergraduate Algebra , Second Edition 1990 , ISBN 0-387-97279 - X ...
... similar or dissimilar methodology now known or hereafter developed is forbidden . The use in this publication of trade names , trademarks , service marks , and similar terms , even if they are not identified as such , is not to be taken ...
... Associated primes 416 3. Primary decomposition 421 4. Nakayama's lemma 424 5. Filtered and graded modules 426 6. The Hilbert polynomial 431 7. Indecomposable modules 439 Chapter XI Real Fields 2. Real fields 1. Ordered fields 3. Real ...
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Contents
I | 5 |
IV | 9 |
V | 15 |
VI | 25 |
VII | 27 |
VIII | 35 |
IX | 38 |
X | 44 |
XCVI | 467 |
C | 470 |
CI | 478 |
CII | 482 |
CIII | 488 |
CIV | 489 |
CV | 493 |
CVI | 505 |
XI | 48 |
XII | 51 |
XIII | 55 |
XIV | 68 |
XV | 85 |
XVIII | 94 |
XIX | 99 |
XX | 109 |
XXI | 113 |
XXII | 119 |
XXIV | 124 |
XXV | 129 |
XXVI | 137 |
XXVII | 141 |
XXVIII | 144 |
XXIX | 148 |
XXX | 157 |
XXXI | 159 |
XXXII | 161 |
XXXIII | 175 |
XXXIV | 182 |
XXXV | 185 |
XXXVI | 188 |
XXXVII | 189 |
XXXVIII | 192 |
XXXIX | 196 |
XL | 202 |
XLI | 207 |
XLII | 225 |
XLVI | 231 |
XLVII | 237 |
XLVIII | 241 |
XLIX | 246 |
L | 249 |
LI | 263 |
LIV | 271 |
LV | 278 |
LVI | 284 |
LVII | 286 |
LVIII | 290 |
LIX | 293 |
LX | 295 |
LXI | 299 |
LXII | 304 |
LXIII | 306 |
LXIV | 310 |
LXV | 314 |
LXVI | 315 |
LXVII | 317 |
LXVIII | 335 |
LXXI | 342 |
LXXII | 348 |
LXXIII | 357 |
LXXIV | 359 |
LXXV | 362 |
LXXVI | 365 |
LXXVII | 379 |
LXXVIII | 380 |
LXXIX | 383 |
LXXX | 390 |
LXXXI | 404 |
LXXXII | 408 |
LXXXIII | 415 |
LXXXVI | 418 |
LXXXVII | 423 |
LXXXVIII | 426 |
LXXXIX | 428 |
XC | 433 |
XCI | 441 |
XCII | 451 |
XCIV | 453 |
XCV | 459 |
CIX | 508 |
CX | 509 |
CXI | 513 |
CXII | 524 |
CXIII | 529 |
CXIV | 533 |
CXV | 538 |
CXVI | 542 |
CXVII | 555 |
CXIX | 558 |
CXX | 563 |
CXXI | 573 |
CXXII | 576 |
CXXIII | 577 |
CXXIV | 579 |
CXXV | 581 |
CXXVI | 583 |
CXXVII | 586 |
CXXVIII | 588 |
CXXIX | 590 |
CXXX | 591 |
CXXXI | 596 |
CXXXII | 603 |
CXXXV | 609 |
CXXXVI | 614 |
CXXXVII | 625 |
CXXXVIII | 627 |
CXXXIX | 631 |
CXL | 634 |
CXLI | 637 |
CXLII | 643 |
CXLIV | 647 |
CXLV | 648 |
CXLVI | 653 |
CXLVII | 656 |
CXLVIII | 659 |
CXLIX | 662 |
CL | 665 |
CLII | 666 |
CLIII | 669 |
CLIV | 673 |
CLV | 675 |
CLVI | 679 |
CLVII | 688 |
CLVIII | 690 |
CLIX | 700 |
CLX | 702 |
CLXI | 704 |
CLXII | 710 |
CLXIII | 712 |
CLXIV | 731 |
CLXVIII | 738 |
CLXIX | 744 |
CLXXI | 747 |
CLXXII | 759 |
CLXXIII | 765 |
CLXXIV | 767 |
CLXXV | 780 |
CLXXVI | 783 |
CLXXVII | 786 |
CLXXVIII | 798 |
CLXXIX | 802 |
CLXXX | 810 |
CLXXXI | 831 |
CLXXXIV | 835 |
CLXXXV | 842 |
CLXXXVI | 846 |
CLXXXVII | 863 |
CLXXXIX | 871 |
CXCI | 891 |
899 | |