Algebras in which every subalgebra is noetherian

DOI10.1090/S0002-9939-2014-12052-1zbMath1311.16015arXiv1112.3869OpenAlexW2131366942MaRDI QIDQ3190185

Susan J. Sierra, Daniel Rogalski, J. Toby Stafford

Publication date: 16 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3869

zbMATH Keywords

Noetherian algebrasSklyanin algebrasfinitely generated subalgebrastwisted homogeneous coordinate ringsjust infinite dimensional algebrasNoetherian subalgebrassuper-Noetherian rings

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Graded rings and modules (associative rings and algebras) (16W50) Noetherian rings and modules (associative rings and algebras) (16P40) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (3)

Some noncommutative minimal surfaces ⋮ A Morita Cancellation Problem ⋮ Cancellation problem for AS-regular algebras of dimension three

Cites Work

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• Twisted homogeneous coordinate rings
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
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• Artin-Schelter regular algebras of global dimension three
• Projectively simple rings.
• Integral domains with Noetherian subrings
• Noncommutative curves and noncommutative surfaces
• Classifying birationally commutative projective surfaces
• Pairs of Domains Where all Intermediate Domains are Noetherian
• Algebras associated to elliptic curves
• A class of noncommutative projective surfaces

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