(a) Let π,α ∈Z[i] with π prime. Prove that if π -α, then π and α are relatively prime. (b) Let π,α,β ∈Z[i] with π prime.
Posted: Wed Jul 06, 2022 11:57 am
(a) Let π,α ∈Z with π prime. Prove that if π -α, then π and αare relatively prime.(b) Let π,α,β ∈Z with π prime. Prove that if π |αβ, then π |α orπ |β.
Let π, a € Z with □ prime. Prove that if í þ ¤, then î and a are relatively prime. Let π, a, ß € Z with □ prime. Prove that if π | aß, then î | a or π | B.
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