Answer to Question #22753 in Abstract Algebra for Tsit Lam

Abstract Algebra

Question #22753

Let J be an ideal in any ring R. If the group J/J2 has a finite exponent m, show that (1 + J)^m^n = 1.

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 k-algebra R and any finite field extension K/k, show that rad R is nilpotent iff rad R^K is
2. For any ring R with (Jacobson) radical J, show that the power series ring A = R[[xi : i ∈ I]] can
3. For any ring R with (Jacobson) radical J, show that the power series ring A = R[[xi : i ∈ I]] (in
4. Let R be any ring whose additive group is torsion-free. Show (without using Amitsur’s Theorem) tha
5. Give an example of a ring R with rad R is nonzero but rad R[t] = 0.
6. Given an element a in a commutative ring R, let S be the multiplicative set 1 + aR ⊆ R. Does a ∈
7. Given an element a in a commutative ring R, let S be the multiplicative set 1 + aR ⊆ R. Show that