On the rigidity of small domains
| dc.creator | Crachiola, Anthony J. | |
| dc.creator | Makar-Limanov, Leonid | |
| dc.date | 2004-06-21 | |
| dc.date.accessioned | 2026-07-07T05:09:26Z | |
| dc.date.available | 2026-07-07T05:09:26Z | |
| dc.description | Let $K$ be an algebraically closed field of arbitrary characteristic. Let $A$ be an affine domain over $K$ with transcendence degree 1 which is not isomorphic to $K[x]$, and let $B$ be a domain over $K$. We show that the AK invariant distributes over the tensor product of $A$ by $B$. As a consequence, we obtain a generalization of the cancellation theorem of S. Abhyankar, P. Eakin, and W. Heinzer. | |
| dc.identifier | https://arxiv.org/abs/math/0406412 | |
| dc.identifier | http://arxiv.org/abs/math/0406412 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71628 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A50; 14R10 | |
| dc.title | On the rigidity of small domains | |
| dc.type | text |