HW2 for MATH 4140

Section 4.1: 18,20
Show that if \(R\cong S\), then \( R[x]\cong S[x]\).
Section 6.1: 5, 13, 17, 20, 33, 36, 38
Section 6.2: 30, 31, 32

HW2 for MATH 5140

First do the Homeworks for MATH 4140, and also sumbit the following
(a) Section 4.1: 22
(b) Section 6.1: 46, 47
(c) Let \(R\) be a noncommutative ring without identity. Describe the ideal generated by \(\{ r_1,r_2,\ldots,r_n\}\) in \(R\).