On the ring of locally bounded Nash meromorphic functions

Wojciech Kucharz, Kamil Rusek
1996 Bulletin of the Australian Mathematical Society  
We show that the ring of locally bounded Nash meromorphic functions on a connected d-dimensional Nash submanifold of R" is a Priifer domain and every finitely generated ideal in this ring can be generated by d -f 1 elements. Moreover, every finitely generated ideal can be generated by d elements if and only if the Nash manifold is noncompact.
doi:10.1017/s0004972700021912 fatcat:mm6q5i4gmfgihoq34vliioawdi