Lectures on Modules and Rings

Front Cover
Springer Science & Business Media, 1999 - Mathematics - 557 pages
1 Review
Textbook writing must be one of the cruelest of self-inflicted tortures. - Carl Faith Math Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who is a great expert in the subject of modules and rings? The answer is simple: I did not learn about it until it was too late! My writing project in ring theory started in 1983 after I taught a year-long course in the subject at Berkeley. My original plan was to write up my lectures and publish them as a graduate text in a couple of years. My hopes of carrying out this plan on schedule were, however, quickly dashed as I began to realize how much material was at hand and how little time I had at my disposal. As the years went by, I added further material to my notes, and used them to teach different versions of the course. Eventually, I came to the realization that writing a single volume would not fully accomplish my original goal of giving a comprehensive treatment of basic ring theory. At the suggestion of Ulrike Schmickler-Hirzebruch, then Mathematics Editor of Springer-Verlag, I completed the first part of my project and published the write up in 1991 as A First Course in Noncommutative Rings, GTM 131, hereafter referred to as First Course (or simply FC).
  

What people are saying - Write a review

Review: Lectures on Modules and Rings

User Review  - Ryan Schwiebert - Goodreads

This book features the clear exposition, excellent examples, and variety of interesting exercises that I've come to expect from Lam's books. I still enjoy this book, and it was definitely ... Read full review

Contents

V
1
VI
2
VII
5
VIII
9
IX
12
X
16
XI
17
XII
21
LXXIX
294
LXXX
297
LXXXI
298
LXXXII
299
LXXXIII
303
LXXXIV
308
LXXXV
314
LXXXVI
317

XIII
23
XIV
30
XV
34
XVI
42
XVII
45
XVIII
48
XIX
51
XX
54
XXI
60
XXIII
64
XXIV
69
XXV
74
XXVI
80
XXVII
83
XXVIII
90
XXIX
96
XXX
99
XXXI
105
XXXII
110
XXXIII
113
XXXIV
121
XXXV
122
XXXVII
127
XXXVIII
129
XXXIX
131
XL
135
XLI
136
XLII
140
XLIII
144
XLIV
147
XLV
153
XLVI
159
XLVII
165
XLIX
173
L
177
LI
182
LII
187
LIII
192
LIV
198
LV
202
LVI
207
LVII
208
LIX
214
LX
219
LXI
221
LXII
228
LXIII
232
LXIV
236
LXV
241
LXVI
246
LXVII
252
LXVIII
253
LXIX
260
LXX
265
LXXI
268
LXXII
272
LXXIII
275
LXXIV
280
LXXV
284
LXXVI
287
LXXVII
288
LXXVIII
290
LXXXVII
320
LXXXVIII
323
LXXXIX
331
XC
334
XCI
339
XCII
342
XCIII
345
XCIV
347
XCV
351
XCVI
354
XCVII
355
XCVIII
357
XCIX
358
C
365
CI
369
CII
374
CIII
380
CIV
383
CV
384
CVI
389
CVII
392
CVIII
394
CIX
401
CX
403
CXI
407
CXII
408
CXIII
412
CXIV
414
CXV
417
CXVI
420
CXVII
422
CXVIII
427
CXIX
431
CXX
434
CXXI
438
CXXII
441
CXXIII
450
CXXIV
453
CXXV
459
CXXVI
461
CXXVIII
470
CXXIX
473
CXXX
478
CXXXI
480
CXXXII
483
CXXXIII
485
CXXXIV
488
CXXXV
490
CXXXVI
496
CXXXVII
501
CXXXVIII
505
CXXXIX
510
CXL
515
CXLI
518
CXLII
522
CXLIII
527
CXLIV
534
CXLV
537
CXLVI
543
CXLVII
549
CXLVIII
553
Copyright

Common terms and phrases

Popular passages

Page 548 - On continuous rings and self-injective rings, Trans. Amer. Math. Soc. 118(1965), 158-173.

References to this book

All Book Search results »

About the author (1999)

Lam-University of California, Berkeley

Bibliographic information