Elasticities of Krull domains with finite divisor class group

✍ Scribed by K. Kattchee

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 230 KB
• Volume: 384
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2004.01.007

✦ Synopsis

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 = 2p, 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 k i=1 Z 2 .