Given , natural mapping from , where be the remainder if is divided by . Show that is homomorphism! And determine . Is monomorphism?
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Originally Posted by GTK X Hunter Given , natural mapping from , where be the remainder if is divided by . Show that is homomorphism! And determine . Is monomorphism? rtp . , by definition. Now, expand to get the other side of the equality. What do you think the kernel of such a mapping should be? Remember, the kernel is everything that is mapped to zero. What is for ? What does this tell you about surjectivity?
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