Let show that the map the residue of a b modulo 2 is a
Let . Show that the map the residue of a+ b modulo 2, is a ring homomorphism with . Prove that . Hence, or otherwise, give a maximal ideal of .
Consider the ideal (2)+(x) of . Show that (2)+(x) . Hence explain why (x) is not a maximal ideal of .
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let prove that the map given by where is the residue of a modulo n is a ring homomorphism find the kernel and image
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