Question: Let R be a ring with unity and M an R-module. Prove that M is cyclic if and only if M = (R/I) for

Let R be a ring with unity and M an R-module. Prove

Let R be a ring with unity and M an R-module. Prove that M is cyclic if and only if M = (R/I) for some left ideal I of R.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!