Subrings invariant under endomorphisms
| dc.creator | Kaliman, Shulim | |
| dc.date | 2002-08-09 | |
| dc.date.accessioned | 2026-07-07T04:50:10Z | |
| dc.date.available | 2026-07-07T04:50:10Z | |
| dc.description | Let S and R be the rings of regular functions on affine algebraic varieties over a field of characteristic 0, R be embedded as a subring in S, and F : S --> S be an endomorphism such that F(R) subset R. Suppose that every ideal of height 1 in R generates a proper ideal in S, and the spectrum of R has no selfintersection points. We show that if F is an automorphism so is F|_R : R --> R. When R and S have the same transcendence degree then the fact that F|_R is an automorphisms implies that F is an automorphism. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0208078 | |
| dc.identifier | http://arxiv.org/abs/math/0208078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64695 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14R10 | |
| dc.title | Subrings invariant under endomorphisms | |
| dc.type | text |