Elasticities of Krull domains with finite divisor class group

Abstract

Fix any positive integer b, and consider the set ϒ( Z b) of all values ρ( R), where R is a Krull domain with divisor class group Z b , and ρ( R) denotes the elasticity of R. We focus on the case b=2 p, showing that 2p−1 p ∈ϒ( Z 2p) and ϒ( Z p)⊊ϒ( Z 2p) . We also present a precise description of the set ϒ ⊕ i=1 k Z 2 .