Errata for 'Algebra: Chapter 0', second (2016) printing
This is the errata for the second (2016) printing of Chapter 0. If
you are looking for the errata for the first (2009) printing, click
here.
Highlighted in red are the needed changes, embedded
in text matching the published version and identified by page and position
on the page (e.g., `p.10, top'). A bold reference indicates an
error in the published version which may be more confusing, such as a
missing hypothesis in an exercise.
This list is bound to grow forever. (98 items so far.)
The contribution of many readers of both printings is gratefully acknowledged.
Last updated: 8/8/22.
Chapter I
- p.8, Exercise 1.3:
- p.15, Example 2.4:
- p.22, Example 3.4:
Chapter II
- p.57, Exercise 2.10:
- p.57, Exercise 2.15, second point:
- p.61, middle:
- p.66, middle:
- p.77, bottom:
- p.81, top:
- p.87, Exercise 6.11:
- p.93, paragraph following Proposition 7.10:
- p.93, proof of Theorem 7.12:
- p.93, footnote:
- p.97, top:
- p.97, Proof of Corollary 8.2:
- p.102, footnote 37:
- p.107, Exercise 8.17:
- p.112, bottom:
- p.113, Exercise 9.2:
- p.107, Exercise 9.3:
- p.115, Exercise 9.17:
Chapter III
- p.123, Proposition 1.12:
- p.129, bottom:
- p.132, middle:
- p.144, Exercise 3.9:
- p.146, bottom:
- p.155, Exercise 4.17:
- p.156, beginning of section 5.
- p.163, Exercise 5.6:
- p.163, Exercise 5.11:
- p.172, Exercise 6.6:
- p.172, Exercise 6.8:
Chapter IV
- p.197, second to last paragraph:
- p.203, Exercise 2.4:
- p.205, Exercise 2.22:
- p.205, Exercise 2.23:
- p.205, Exercise 2.25:
- p.209, before Proposition 3.5:
- p.212, Corollary 3.13:
- p.226, Exercise 4.22:
- p.229, Definition 5.6:
- p.232, middle:
- p.241, Exercise 6.8:
Chapter V
- p.244, first paragraph of 1.1:
- p.244, bottom:
- p.246, middle:
- p.260, Exercise 2.20:
- p.267, Exercise 3.15:
- p.269, bottom:
- p.280, Exercise 4.25:
- p.288, Proof of Proposition 5.17:
- p.295, bottom:
Chapter VI
- p.326, Exercise 2.10:
- p.333, proof of Proposition 3.7:
- p.341, middle:
- p.347, Exercise 4.6:
- p.367, bottom:
- p.370, top:
- p.371, Exercise 6.21:
Chapter VII
- p.385, bottom:
- p.386, second paragraph:
- p.387, top:
- p.389, second paragraph:
- p.398, Exercise 1.15:
- p.410, top:
- p.414, Exercise 2.6:
- p.426, middle:
- p.431, Proof of Theorem 4.8:
- p.459, top:
- p.465, bottom:
- p.474, top:
- p.476-7, Proof of Proposition 7.14:
Chapter VIII
- p.495, bottom:
- p.500, Exercise 1.28:
- p.509, bottom half:
- p.522, Exercise 3.15:
- p.526, middle:
- p.527, top half:
- p.532, Exercise 4.3:
- p.542, top:
- p.542, middle:
- p.545, last line:
- p.547, middle:
- p.555, first display:
Chapter IX
- p.578, top:
- p.596, proof of Lemma 3.4:
- p.596, first line following the proof of Lemma 3.4:
- p.639, Exercise 6.4:
- p.641, Exercise 6.13:
- p.643, middle:
- p.644, Proposition 7.3, statement:
- p.644, Proposition 7.3, proof:
- p.645, Remark 7.4:
- p.645, middle:
- p.655, middle:
- p.660, Exercise 7.14:
- p.663, statement of Theorem 8.3:
- p.668, Example 8.8:
- p.674, Theorem 8.12, first bullet:
- p.687, middle: