Algebras in which every subalgebra is noetherian

Rogalski, D.; Sierra, S.; Stafford, J.

doi:10.1090/S0002-9939-2014-12052-1

Algebras in which every subalgebra is noetherian
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by D. Rogalski, S. J. Sierra and J. T. Stafford PDF

Proc. Amer. Math. Soc. 142 (2014), 2983-2990 Request permission

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.

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