Homepage Solution manuals Paolo Aluffi Algebra: Chapter 0 Exercise 3.6.2 (M ≅ M ⊕ M: possible or not? )

Exercise 3.6.2 (M ≅ M ⊕ M: possible or not? )

Prove or disprove that if R is a ring and M is a nonzero R-module, then M is not isomorphic to M M .