Chapter 0 Prerequisites
نویسنده
چکیده
0.1.3 Unique Factorization Theorem If a is an integer, not 0 or ±1, then (1) a can be written as a product p1 · · · pn of primes. (2) If a = p1 · · · pn = q1 · · · qm, where the pi and qj are prime, then n = m and, after renumbering, pi = ±qi for all i. [We allow negative primes, so that, for example, −17 is prime. This is consistent with the general definition of prime element in an integral domain; see Section 2.6.]
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