ELASTICITY FOR INTEGRAL-VALUED POLYNOMIALS

Authors
CAHEN PJ CHABERT JL
Citation
Pj. Cahen et Jl. Chabert, ELASTICITY FOR INTEGRAL-VALUED POLYNOMIALS, Journal of pure and applied algebra, 103(3), 1995, pp. 303-311
Citations number
15
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
103
Issue
3
Year of publication
1995
Pages
303 - 311
Database
ISI
SICI code
0022-4049(1995)103:3<303:EFIP>2.0.ZU;2-0
Abstract
The elasticity of a domain is the upper bound of the ratios of lengths of two decompositions in irreducible factors of nonzero nonunit eleme nts. We show that for a large class of Noetherian domains, including a ny domain contained in a number field (but not a field), the elasticit y of the ring of integral-valued polynomials is infinite.