Answer to Question #17274 in Algebra for sanches

Question #17274
Show that any maximal ideal I of R is the annihilator of some simple left R-module, but not conversely.
1
Expert's answer
2012-10-31T08:52:33-0400
Let V = R/m, where mis a maximal left ideal of R containing I. Then IV = 0, soI ⊆ ann(V ). Since ann(V ) is an ideal of R, themaximality of I implies that I = ann(V ).

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