Let w; z 2 Z p 3. We say that w divides z provided there is a q 2 Z p 3 with wq D z. In
Chapter 39, Problem 39.26(choose chapter or problem)
Let w; z 2 Z p 3. We say that w divides z provided there is a q 2 Z p 3 with wq D z. In this case, we call w a factor of z. We call p 2 Z p 3 irreducible if and only if (1) p 6D 1 and p 6D 1 and (2) the only factors of p are 1 and p. Irreducible elements of Z p 3 are much like primes in Z (only we do not consider negative integers to be prime). Determine which of the following elements of Z p 3 are irreducible. a. 1 C 2 p 3. b. 2 C p 3. c. 2. d. 1 C p 3. e. 3. f. 7. g. 1. h. 0.
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