Elasticity for integral-valued polynomials (Q1903690)

The elasticity \(\rho (R)\) of an atomic integral domain \(R\) is defined as the supremum of the ratios \(m/n\) taken over all equalities \(u_1 u_2 \dots u_m= v_1 v_2 \dots v_n\) with irreducible \(u_i\), \(v_j\). The authors exhibit large classes of domains with infinite elasticity. This includes in particular \(\text{Int} (D)\), the ring of all \(D\)-valued polynomials for one-dimensional Noetherian domain \(D\) with finite residue fields.