Answer to Question #17651 in Abstract Algebra for Hym@n B@ss

Question #17651
Show that for any ring R, soc(R) is an ideal of R.
1
Expert's answer
2012-11-19T07:48:30-0500
For any minimal left ideal I ⊆ R and any r ∈ R, Ir is a homomorphic image of RI,so Ir is either 0 or another minimal left ideal. Since soc(RR)=(sum) I, we see that soc(RR) is an ideal.

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 first!

Leave a comment

Ask Your question

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS
paypal