All of this can be abbreviated by saying that Z is a [euclidean domain]?. It implies that Z is a [principal ideal domain]? and that whole numbers can be written as products of primes in an essentially unique way. |
All of this can be abbreviated by saying that Z is a [euclidean domain]?. It implies that Z is a [principal ideal domain]? and that whole numbers can be written as products of primes in an essentially unique way. This is the fundamental theorem of arithmetic. |