Answer to Question #107113 in Abstract Algebra for Sanjana

Question

In following statements identify if they are true then give proof or if they are false then give counter example or if they are partially true then give example for each case in which it is true and false.
1. Minimal Modules exist in Artinian Modules ?
2. A Minimal Sub-Module is always Simple ?
3. A Finitely Generated Module need not be Noetherian ?
4. An Artinian Module need not be Finitely Generated ?

Answer 1

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