Journal article
Elasticity of factorizations in integral domains
Journal of pure and applied algebra, Vol.80(3), pp.217-235
1992
DOI: 10.1016/0022-4049(92)90144-5
Abstract
For an atomic integral domain R , define ϱ ( R )= sup { m ⧸ n | x 1 ⋯ x m = y 1 ⋯ y n , each x i , y j ϵ R is irreducible}. We investigate ϱ( R ), with emphasis for Krull domains R . When R is a Krull domain, we determine lower and upper bounds for ϱ( R ); in particular, ϱ ( R )≤ max {| Cl ( R )|⧸ 2, 1}. Moreover, we show that for any real numbers r ≥1 or r =∞, there is a Dedekind domain R with torsion class group such that ϱ( R )= r .
Details
- Title: Subtitle
- Elasticity of factorizations in integral domains
- Creators
- D. D AndersonDavid F Anderson
- Resource Type
- Journal article
- Publication Details
- Journal of pure and applied algebra, Vol.80(3), pp.217-235
- DOI
- 10.1016/0022-4049(92)90144-5
- ISSN
- 0022-4049
- eISSN
- 1873-1376
- Language
- English
- Date published
- 1992
- Academic Unit
- Mathematics
- Record Identifier
- 9983985711302771
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