Let is not an ideal of R. (Hence, in Exercise 7 in Chapter

Chapter 14, Problem 31SE

(choose chapter or problem)

Let

\(R=\left\{\left[\begin{array}{ll} a & b \\ c & d \end{array}\right] \mid a, b, c, d \in Z_{2}\right\} \)

with ordinary matrix addition and multiplication modulo 2. Show that

\(A=\left\{\left[\begin{array}{ll} 1 & 0 \\ 0 & 0 \end{array}\right] r \mid r \in R\right\} \)

is not an ideal of R. (Hence, in Exercise 7 in Chapter 14, the commutativity assumption is necessary.)

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back