Resumen de Elasticity of Finitely Generated Domains

Florian Kainrath

• Let R be an atomic domain. Then every non unit a of R may be written as a product of irreducibles. Let L(a) resp. l(a) denote the longest resp. shortest length of all such factorizations of a. The elasticity of R is defined as the supremum of all quotients L(a)/l(a), where a runs through all non units of R. In this paper we characterize those finitely generated domains having finite elasticity.