Answer to Question #25239 in Abstract Algebra for Hym@n B@ss

Question #25239

Let I be a nil left ideal of a ring R. Show that the set of matrices in Mn(R) whose kth column consists of elements of I and whose other columns are zero is a nil left ideal of Mn(R).

Expert's answer

Answer in progress...

Learn more about our help with Assignments: Abstract Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. For any ring R, show that Nil*Mn(R) = Mn(Nil*R).
2. Let R[T] be a polynomial ring over R, and let N = R ∩ rad R[T]. Show that N is a semiprime ideal o
3. When writing an equation in function form like. -5y-30x=20 I get -5y=-30x+20 how do I get the -5 fac
4. a hemispherical dome of a building contains 56 4/7 m3 of air . Find the radius of the dome
5. a) For the quadratic x^2-cx+d, with c, d integers and roots alpha & alpha-hat which are not inte
6. Show that any ideal (resp. subring) can be realized as the kernel (resp. the image) of a ring homomo
7. Last year, General hospital discharged a total of 19,231 patients. Its occupancy rate was 83%. Tot