Algebras in which every subalgebra is noetherian

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

doi:http://dx.doi.org/10.1090/S0002-9939-2014-12052-1

Algebras in which every subalgebra is noetherian

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

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	Undefined/Unknown
Journal	Proceedings of the american mathematical society
Volume	142
DOIs	https://doi.org/10.1090/S0002-9939-2014-12052-1
Publication status	Published - 16 Dec 2011

Keywords

math.RA
16P40, 16S38, 16W50, 16W70

Access to Document

http://dx.doi.org/10.1090/S0002-9939-2014-12052-1

Algebras in which every subalgebra is noetherian
First published in Proc. Amer. Math. Soc. in 142 (2014), published by the American Mathematical Society
Final published version, 168 KB

http://www.ams.org/journals/proc/2014-142-09/S0002-9939-2014-12052-1/

Cite this

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title = "Algebras in which every subalgebra is noetherian",

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AU - J. Sierra, S.

AU - Stafford, J. T.

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AB - 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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KW - 16P40, 16S38, 16W50, 16W70

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DO - http://dx.doi.org/10.1090/S0002-9939-2014-12052-1

M3 - Article

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JO - Proceedings of the american mathematical society

JF - Proceedings of the american mathematical society

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