Elasticity of Finitely Generated Domains

• Autores: Florian Kainrath
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 1, 2005, págs. 43-64
• Idioma: inglés
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• Resumen

  • 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.