Factorization in Integral Domains
This chapter is concerned with the problem of factoring elements of an integral domain. The motivation for this lies in the ring ℤ of integers, where the Fundamental Theorem of Arithmetic states that every integer n > 1 can be written, in an essentially unique way, as a product of prime numbers; for example,
and 2, 3, 5 and 7 are prime numbers. In this chapter, we extend the factorization theory of the ring ℤ and, in particular, the above-mentioned Fundamental Theorem of Arithmetic, ...