- #1
Fantini
Gold Member
MHB
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Good afternoon! I wasn't able to get the necessary grade in abstract algebra and now I'm redoing many exercises and I would like some correction. All help is appreciated! (Smile)
Here is the question:
Show that every homomorphism of a field to a ring is one-to-one or null.
Let be a homomorphism from a field to a ring . Assume that . We have that . Suppose that . Since is a field, we will have if and only if and therefore .
Cheers! (Yes)
Here is the question:
Show that every homomorphism of a field to a ring is one-to-one or null.
Let
Cheers! (Yes)