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Question: injective modules abstract algebra ii let be a domain commutative...

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Injective Modules (Abstract Algebra II)

Let D be a domain (commutative ring with no zero divisors eq 0 ),

F the field of fractions of D  (Fsupset D).

Show that if M is a D-module, then M_F=Fotimes _D M is a divisible D-module and

x ightarrow 1otimes x is an essential monomorphism of M into MF if M is torsion-free.

(Please show details so I may understand the process-Thank you)

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