- #1
Punkyc7
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I am having a hard time using or applying the theorem .
Anyways
Prove that there is no homomorphism from Z[itex]_{8}[/itex][itex]\oplus[/itex]Z[itex]_{2}[/itex] onto Z[itex]_{4}[/itex][itex]\oplus[/itex]Z[itex]_{4}[/itex]
Im guessing its the First Isomorphsim Theorem because its in the chapter. But I am not sure how to use it.
Anyways
Prove that there is no homomorphism from Z[itex]_{8}[/itex][itex]\oplus[/itex]Z[itex]_{2}[/itex] onto Z[itex]_{4}[/itex][itex]\oplus[/itex]Z[itex]_{4}[/itex]
Im guessing its the First Isomorphsim Theorem because its in the chapter. But I am not sure how to use it.