Let n > 1 be an integer. We say that [x] ∈ℤ/n is a zero divisor if there exists [y] ∈ ℤ/n − {[0]} such that [x][y] = [0]. We say that [x] is a unit if there exists [y] ∈ ℤ/n such that [x][y] = [1]. 7a) What are all the units in ℤ/12? What are all the zero divisors? b) What are all the units in ℤ/14? What are all the zero divisors? c) What are all the units in ℤ/13? What are all the zero divisors?

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Let n > 1 be an integer. We say that [x] ∈ℤ/n is a zero divisor if there exists [y] ∈ ℤ/n − {[0]} such that [x][y] = [0]. We say that [x] is a unit if there exists [y] ∈ ℤ/n such that [x][y] = [1].

7a) What are all the units in ℤ/12? What are all the zero divisors?

b) What are all the units in ℤ/14? What are all the zero divisors?

c) What are all the units in ℤ/13? What are all the zero divisors?

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