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.

• p.8, Exercise 1.3:

  

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• p.15, Example 2.4:

  

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• p.22, Example 3.4:

  

• 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.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.107, Exercise 8.17:

  

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• p.112, bottom:

  

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• p.113, Exercise 9.2:

  

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• p.107, 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.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 6.6:

  

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• p.172, Exercise 6.8:

  

• p.197, second to last paragraph:

  

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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.226, Exercise 4.22:

  

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• p.229, Definition 5.6:

  

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• p.232, middle:

  

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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.260, Exercise 2.20:

  

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• p.267, Exercise 3.15:

  

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• p.269, bottom:

  

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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.295, bottom:

  

• p.326, Exercise 2.10:

  

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• p.333, proof of Proposition 3.7:

  

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• p.341, middle:

  

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• p.347, Exercise 4.6:

  

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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.398, Exercise 1.15:

  

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• p.410, top:

  

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• p.414, Exercise 2.6:

  

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• p.426, middle:

  

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• p.431, Proof of Theorem 4.8:

  

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• p.459, top:

  

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• p.465, bottom:

  

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• p.474, top:

  

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• p.476-7, Proof of Proposition 7.14:

  

• p.495, bottom:

  

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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.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.545, last line:

  

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• p.547, middle:

  

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• p.555, first display:

  

• p.578, 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.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.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.687, middle: