Any help would be greatly appreciated. Please see the attached file. Thank you!
Let R be a ring with identity. Recall that the non-zero R-module M is simple...© BrainMass Inc. brainmass.com October 9, 2019, 9:05 pm ad1c9bdddf
Please see the attachment.
Suppose that is a commutative ring and that is an ideal of . Show that the -module is simple if and only if is a maximal ideal..
" ": Suppose that is simple. I want to show that is a maximal ideal. If not, then we can find ...
This is a proof that the R-module is simple if and only if I is a maximal ideal.