![SOLVED: Let Z, z be the ring of integers modulo 17, and let Z, z be the group of units of Z17 under multiplication. Which of the following are generators of Z^7? SOLVED: Let Z, z be the ring of integers modulo 17, and let Z, z be the group of units of Z17 under multiplication. Which of the following are generators of Z^7?](https://cdn.numerade.com/ask_images/e8dd6ac65e1d447585a3017e2f547dee.jpg)
SOLVED: Let Z, z be the ring of integers modulo 17, and let Z, z be the group of units of Z17 under multiplication. Which of the following are generators of Z^7?
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![SOLVED: (a) Denote by Z18 the ring whose elements are the integers modulo 18. Determine all nilpotent elements of Z18. Enter them as a comma-separated list. (b) Determine all idempotent elements of SOLVED: (a) Denote by Z18 the ring whose elements are the integers modulo 18. Determine all nilpotent elements of Z18. Enter them as a comma-separated list. (b) Determine all idempotent elements of](https://cdn.numerade.com/ask_images/c274885aaf114ef08c177b6c6e16126a.jpg)
SOLVED: (a) Denote by Z18 the ring whose elements are the integers modulo 18. Determine all nilpotent elements of Z18. Enter them as a comma-separated list. (b) Determine all idempotent elements of
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