ABSTRACT
In this chapter we study the arithmetic of the monoids and domains discussed in Chapter 2. Most monoids under consideration are v-noetherian and/or locally tame, and thus they are BF-monoids (see Theorem 2.2.9 and Theorem 1.6.7.2). The following invariants are in the center of our interest: the elasticity, the set of distances, the catenary degrees and the tame degrees. The investigation of the structure of sets of lengths is postponed to Chapter 4.
