Errata for Algebra
by Mark R. Sepanski
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Page 9, Line 23: add “of”
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Page 29, Exercise 1.55a: add “or zero” after “divisor”
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Page 54, Line 27: remove the extra “(”
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Page 56, Exercise 2.63: change “Euclidean” to “Division”
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Page 61, Theorem 2.21: add “(3) |g|=|<g>|”
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Page 65, Exercise 2.102: change π to φ
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Page 76, Exercise 2.130e: remove redundant “∪{e}”. So the
problem should read “Let w∈G\{<r>}. Show
that |w|=2.”
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Page 76, Exercise 2.130f: change “x” to “r”
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Page 83, Line 6: change “3” to “2”
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Page 93, Line 19: the last “cj” needs a prime
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Page 113, Theorem 2.69: skip first paragraph of proof and instead use
Lemma 2.39 in the 3rd paragraph
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Page 132, Line −13: add comma
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Page 164, Exercise 3.118, Line −1: change each “F” to “H”
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Page 168, Exercise 3.129(b): add “and sufficiently small” after “x>0”
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Page 169, Line −9: change “second” to “same”
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Page 206, Theorem 4.18(1), Line 3: change “F” to “F1”
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Page 215, Theorem 4.31(1): add “with identity”
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