Algebras in which every subalgebra is noetherian
Rings and Algebras
2013-04-25 v2
Abstract
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.
Cite
@article{arxiv.1112.3869,
title = {Algebras in which every subalgebra is noetherian},
author = {D. Rogalski and S. J. Sierra and J. T. Stafford},
journal= {arXiv preprint arXiv:1112.3869},
year = {2013}
}
Comments
5 pages; comments welcome; v2 only minor changes, most suggested by referee