chapter  22
12 Pages

On Factorization in Krull Domains with Divisor Class Group Z2k

ByGroup Z2k Karl M. Kattchee

A common way of measuring the extent to which a Krull domain R fails to be a unique factorization domain is by means of the elasticity ρ(R), which is defined by

ρ(R) = sup{m n

: a1 · · · am = b1 · · · bn, for some irreducibles ai, bj ∈ R}.