Older platforms like Slader (now merged into Quizlet) had crowdsourced solutions for D&F. For Chapter 12, be cautious: many are user-generated and contain algebraic errors, especially in the torsion module sections.
While I won't provide the exact solutions (as that would infringe on copyright), I can guide you through some general tips and resources that might help: dummit and foote solutions chapter 12
Modules generalize vector spaces: scalars come from a ring (not necessarily a field). This abstraction is powerful but challenging. The exercises in Chapter 12 test: Older platforms like Slader (now merged into Quizlet)