Abstract
New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 229-244 |
| Number of pages | 16 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 40 |
| Issue number | C |
| DOIs | |
| State | Published - Jan 1 1986 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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New results on pole-shifting for parametrized families of systems. / Hautus, M. L.J.; Sontag, Eduardo.
In: Journal of Pure and Applied Algebra, Vol. 40, No. C, 01.01.1986, p. 229-244.Research output: Contribution to journal › Article
TY - JOUR
T1 - New results on pole-shifting for parametrized families of systems
AU - Hautus, M. L.J.
AU - Sontag, Eduardo
PY - 1986/1/1
Y1 - 1986/1/1
N2 - New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.
AB - New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.
UR - http://www.scopus.com/inward/record.url?scp=38249042334&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=38249042334&partnerID=8YFLogxK
U2 - 10.1016/0022-4049(86)90043-5
DO - 10.1016/0022-4049(86)90043-5
M3 - Article
AN - SCOPUS:38249042334
VL - 40
SP - 229
EP - 244
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - C
ER -