Errata for Hungerford's Algebra

• p.75, Exercise II.1.11.(b). \(\mathbb{Z}\) should be \(\mathbb{N}^+\).
• p.187, line 10. \(s_i\in D\) should be \(s_j\in D\).
• p.204, line -6. \(j=0, 1, 2, ..., n\) should be \(j=1, 2, ..., n\).
• p.223, line -10. "\(C\) contains an element of order \(n_2\)" should be "\(C\) contains an element of order \(p^{n_2}\)".
• p.241, line 4. \(K(u_{\sigma_{(1)}}, ..., u_{\sigma_{(n)}})\) should be \(K(u_{\sigma(1)}, ..., u_{\sigma(n)})\)
• p.389, line 6. \(\overline{R}\) should be \(R\).
• p.333, line -11. "\(u=u_1x\)" should be "\(u=u_1 x_1\)".
• p.396, line 5. \((r_{11}-s)b_1+r_{12}\color{red}{,} b_2+\cdots +r_{1n}b_n=0\) should be \((r_{11}-s)b_1+r_{12}b_2+\cdots +r_{1n}b_n=0\)
• p.396, line 7. \(r_{n1}b_1+r_{n2}\color{red}{,} b_2+\cdots +(r_{nn}-s)b_n=0\) should be \(r_{n1}b_1+r_{n2}b_2+\cdots +(r_{nn}-s)b_n=0\)
• p.475, line 1 and 2. Some prime symbol \('\) do not be placed in a proper position.