We show that the twisted homogeneous coordinate rings of elliptic curves by infinite order automorphisms have the curious property that every subalgebra is both finitely generated and noetherian. As a consequence, we show that a localisation of a generic Skylanin algebra has the same property.
|Journal||Proceedings of the american mathematical society|
|Publication status||Published - 16 Dec 2011|
- 16P40, 16S38, 16W50, 16W70