vix.ing · top · new · best · stats · spec

Algebras in which every subalgebra is noetherian

2011/12/16 by D. Rogalski, Rogalski, D., S. J. Sierra +3
Mathematics · #16P40 #16S38 #16W50 #16W70 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16P40 #msc:16S38 #msc:16W50 #msc:16W70

paper · pdf · doi:10.48550/arxiv.1112.3869

5 pages; comments welcome; v2 only minor changes, most suggested by referee

arxiv created 2013/04/24 · arxiv updated 2013/04/25

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.

Related