Algebras in which every subalgebra is noetherian

Details Algebras in which every subalgebra is noetherian Algebras in which every subalgebra is noetherian

2011-12-16

arxiv.org/abs/1112.3869v1

Mathematics

Rings and Algebras

5 pages; comments welcome

Scientific paper

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.

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