Answer to Question #23256 in Abstract Algebra for Melvin Henriksen

Question #23256
Show that R is prime ring iff it is simple.
1
Expert's answer
2013-01-31T08:25:09-0500
R is prime ring then R/p is semiprime andright artinian, so it is semisimple. Since R/p is in fact prime, it canhave only one simple component. Therefore, R/p is simple, then so does R.

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!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS