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5. Let R be a ring, n e Zxo and we R be a primitive nth root of unity. (a) Show that w-! is also a primitive nth root of
Posted: Tue Apr 26, 2022 5:40 pm
by answerhappygod
- 5 Let R Be A Ring N E Zxo And We R Be A Primitive Nth Root Of Unity A Show That W Is Also A Primitive Nth Root Of 1 (19.86 KiB) Viewed 34 times
5. Let R be a ring, n e Zxo and we R be a primitive nth root of unity. (a) Show that w-! is also a primitive nth root of unity. (b) If n is even, then show that w2 is a primitive n/2th root of unity. If n is odd, then show that wº is also a primitive nth root of unity. (c) Let k € Z and d= n/ged(n, k). Show that wk is a primitive dth root of unity.