Finiteness conditions in Krull subrings of a ring of polynomials |
| |
| Authors: | Bronislaw Wajnryb |
| |
| Institution: | (1) Technion-Israel Institute of Technology, Haifa, Israel;(2) The Institute for Advanced Studies, The Hebrew University of Jerusalem, Jerusalem, Israel |
| |
| Abstract: | LetR be a Krull subring of a ring of polynomialskx
1, …, xn] over a fieldk. We prove that ifR is generated by monomials overk thenr is affine. We also construct an example of a non-affine Krull ringR, such thatkx, xy]⊂R⊂kx, y], and a non-Noetherian Krull ringS, such thatkx, xy, z]⊂S⊂kx, y, z]. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
