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 .