Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493227 | Journal of Algebra | 2005 | 10 Pages |
Abstract
We present a generalisation of the Eakin-Sathaye theorem on reductions to the case of complete, and so of joint, reductions in the sense of Rees. Applications are given. Generalisations are also indicated for work of Lipman, Eakin-Sathaye and Sally-Vasconcelos that fed into or resulted from the original version of the Eakin-Sathaye theorem. Finally, the result is reinterpreted as a “multiplicative” normalisation theorem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Liam O'Carroll,