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. (160 items so far.) The contribution of many readers of both printings is gratefully acknowledged.

Last updated: 12/12/24.

• p.8, Exercise 1.3:

  

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• p.15, Example 2.4:

  

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• p.22, Example 3.4:

  

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• p.27, Exercise 3.10:

  

• p.44, bottom:

  

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• p.45, bottom:

  

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• p.56, Exercise 2.1:

  

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• p.57, Exercise 2.10:

  

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• p.57, Exercise 2.15, second point:

  

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• p.61, middle:

  

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• p.66, middle:

  

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• p.77, bottom:

  

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• p.81, top:

  

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• p.83, footnote:

  

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• p.87, Exercise 6.11:

  

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• p.93, paragraph following Proposition 7.10:

  

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• p.93, proof of Theorem 7.12:

  

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• p.93, footnote:

  

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• p.97, top:

  

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• p.97, Proof of Corollary 8.2:

  

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• p.102, footnote 37:

  

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• p.105, Exercise 8.1:

  

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• p.107, Exercise 8.17:

  

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• p.108, bottom:

  

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• p.109, beginning of section 9.2:

  

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• p.110, bottom:

  

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• p.112, bottom:

  

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• p.113, Exercise 9.2:

  

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• p.113, Exercise 9.3:

  

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• p.113, Exercise 9.3:

  

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• p.115, Exercise 9.17:

  

• p.123, Proposition 1.12:

  

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• p.129, bottom:

  

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• p.132, middle:

  

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• p.144, Exercise 3.9:

  

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• p.146, bottom:

  

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• p.147, Proof of Lemma 4.5:

  

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• p.155, Exercise 4.17:

  

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• p.156, beginning of section 5.

  

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• p.163, Exercise 5.6:

  

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• p.163, Exercise 5.11:

  

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• p.172, Exercise 6.2:

  

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• p.172, Exercise 6.6:

  

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• p.172, Exercise 6.8:

  

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• p.177, middle:

  

• p.192, second paragraph:

  

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• p.197, second to last paragraph:

  

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• p.200, middle:

  

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• p.203, Exercise 2.4:

  

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• p.205, Exercise 2.22:

  

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• p.205, Exercise 2.23:

  

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• p.205, Exercise 2.25:

  

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• p.209, before Proposition 3.5:

  

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• p.212, Corollary 3.13:

  

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• p.214, beginning of section 4.1:

  

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• p.226, Exercise 4.22:

  

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• p.226, footnote:

  

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• p.229, Definition 5.6:

  

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• p.232, middle:

  

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• p.237, Theorem 6.6, point 1:

  

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• p.241, Exercise 6.8:

  

• p.244, first paragraph of 1.1:

  

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• p.244, bottom:

  

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• p.246, middle:

  

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• p.247, top:

  

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• p.250, Exercise 1.7:

  

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• p.250, Exercise 1.9:

  

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• p.256, bottom:

  

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• p.260, Exercise 2.20:

  

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• p.265, first paragraph:

  

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• p.267, Exercise 3.15:

  

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• p.269, bottom:

  

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• p.272, diagram:

  

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• p.276, Exercise 4.6:

  

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• p.277, second-to-last point of Exercise 4.7.

  

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• p.280, Exercise 4.25:

  

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• p.288, Proof of Proposition 5.17:

  

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• p.290, Exercise 5.22:

  

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• p.295, bottom:

  

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• p.302, Exercise 6.19:

  

• p.309-10, proof of Proposition 1.9:

  

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• p.310, bottom:

  

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• p.314, Exercise 1.19:

  

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• p.326, Exercise 2.10:

  

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• p.328, middle:

  

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• p.329, footnote 17:

  

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• p.333, proof of Proposition 3.7:

  

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• p.341, middle:

  

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• p.343, bottom:

  

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• p.347, Exercise 4.6:

  

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• p.366, Lemma 6.14:

  

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• p.367, bottom:

  

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• p.370, top:

  

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• p.371, Exercise 6.21:

  

• p.385, bottom:

  

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• p.386, second paragraph:

  

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• p.387, top:

  

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• p.389, second paragraph:

  

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• p.393, bottom:

  

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• p.398, Exercise 1.15:

  

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• p.398, Exercise 1.16:

  

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• p.410, top:

  

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• p.414, Exercise 2.6:

  

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• p.417, bottom:

  

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• p.426, middle:

  

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• p.431, Proof of Theorem 4.8:

  

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• p.439, Exercise 4.8:

  

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• p.459, top:

  

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• p.465, bottom:

  

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• p.471, bottom:

  

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• p.473, end of first paragraph:

  

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• p.474, top:

  

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• p.476, top:

  

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• p.476, Proof of Lemma 7.13:

  

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• p.476-7, Proof of Proposition 7.14:

  

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• p.480, Exercise 7.2:

  

• p.491, second-to-last paragraph:

  

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• p.495, bottom:

  

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• p.497, Exercise 1.10:

  

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• p.500, Exercise 1.28:

  

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• p.509, bottom half:

  

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• p.522, Exercise 3.15:

  

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• p.522, beginning of section 4:

  

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• p.526, middle:

  

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• p.527, top half:

  

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• p.532, Exercise 4.3:

  

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• p.542, top:

  

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• p.542, middle:

  

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• p.544, Exercise 5.9:

  

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• p.545, last line:

  

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• p.547, middle:

  

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• p.555, first display:

  

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• p.555, Exercise 6.6:

  

• p.578, top:

  

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• p.593, top:

  

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• p.596, proof of Lemma 3.4:

  

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• p.596, first line following the proof of Lemma 3.4:

  

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• p.599, after first display:

  

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• p.599, middle:

  

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• p.604, footnote:

  

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• p.612, end of proof of Proposition 4.10:

  

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• p.614, Exercise 4.5:

  

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• p.639, Exercise 6.4:

  

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• p.641, Exercise 6.13:

  

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• p.643, middle:

  

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• p.644, Proposition 7.3, statement:

  

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• p.644, Proposition 7.3, proof:

  

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• p.645, Remark 7.4:

  

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• p.645, middle:

  

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• p.655, middle:

  

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• p.659, Exercise 7.10:

  

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• p.660, Exercise 7.14:

  

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• p.663, statement of Theorem 8.3:

  

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• p.668, Example 8.8:

  

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• p.674, Theorem 8.12, first bullet:

  

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• p.676, bottom:

  

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• p.687, middle:

  

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• p.695, Exercise 9.1:

  

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• p.697, Exercise 9.9: