Algebras in which every subalgebra is noetherian
classification
🧮 math.RA
keywords
everynoetherianpropertysubalgebraalgebraalgebrasautomorphismsconsequence
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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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