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.