Answer to Question #23712 in Abstract Algebra for Mohammad

Question #23712

Let R = kG where k is any field and G is any group. Let I be the ideal of R generated by ab − ba for all a, b ∈ R. Show that I = (sum over a∈G) (a − 1)kG.

Expert's answer

Download Answer

Learn more about our help with Assignments: Abstract Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Let R = kG where k is any field and G is any group. Let I be the ideal of R generated by ab − ba f
2. Compute, the decompositions of QG1, QG2, where G1 is the Klein 4-group, and G2 is the quaternion gro
3. Let G = S3. Compute the central idempotents of QG that give this decomposition of QG into its simple
4. Let G = S3. Show that QG ∼ Q × Q ×M2(Q).
5. Let k be a field whose characteristic is prime to the order of a finite group G. Show that the follo
6. Give an example of a pair of finite groups G,G' such that, for some field k, kG ∼ kG' as
7. a man walks right,left, back or front with equal probability.find the probability that after 9 steps

Who Can Help Me with My Assignment

There are three certainties in this world: Death, Taxes and Homework Assignments. No matter where you study, and no matter…
How to Finish Assignments When You Can’t

Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for.…
How to Effectively Study for a Math Test

Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…