77 962
Assignments Done
Successfully Done
In August 2019

Answer to Question #23478 in Abstract Algebra for Tsit Lam

Question #23478
If k is an uncountable field, show that, for any group G, rad kG is a nil ideal.
Expert's answer
Let α ∈ rad kG. Then α ∈ kH ∩ rad kG ⊆ rad kH for some finitelygenerated subgroup H ⊆ G. Now dimkkH = |H| is countable, and k is uncountable. Therefore, αn = 0 for some n ≥ 1.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question

Privacy policy Terms and Conditions