Results 1 -
1 of
1
Linear Equivalence of Ideal Topologies
"... It is proved that whenever P is a prime ideal in a commutative Noetherian ring such that the P-adic and the P-symbolic topologies are equivalent, then the two topologies are equivalent linearly. Several explicit examples are calculated, in particular for all prime ideals corresponding to non-torsion ..."
Abstract
-
Cited by 6 (0 self)
- Add to MetaCart
It is proved that whenever P is a prime ideal in a commutative Noetherian ring such that the P-adic and the P-symbolic topologies are equivalent, then the two topologies are equivalent linearly. Several explicit examples are calculated, in particular for all prime ideals corresponding to non-torsion points on nonsingular elliptic cubic curves.
