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On the ring of locally bounded Nash meromorphic functions
Published online by Cambridge University Press: 17 April 2009
Abstract
We show that the ring of locally bounded Nash meromorphic functions on a connected d-dimensional Nash submanifold of ℝn is a Prüfer domain and every finitely generated ideal in this ring can be generated by d + 1 elements.
Moreover, every finitely generated ideal can be generated by d elements if and only if the Nash manifold is noncompact.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 54 , Issue 3 , December 1996 , pp. 503 - 507
- Copyright
- Copyright © Australian Mathematical Society 1996
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