Algebras without noetherian filtrations

DOI10.1090/S0002-9939-02-06972-1zbMath1020.16015arXivmath/0007035OpenAlexW1499466580MaRDI QIDQ4791472

James J. Zhang, J. Toby Stafford

Publication date: 28 January 2003

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

Full work available at URL: https://arxiv.org/abs/math/0007035

zbMATH Keywords

associated graded algebrasNoetherian filtrationsfinitely generated Noetherian PI algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16R99) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (4)

Affine Noetherian algebras, filtrations and presentations ⋮ Generic Flatness and the Jacobson Conjecture ⋮ Homological identities for noncommutative rings ⋮ Residue complexes over noncommutative rings.

Cites Work

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• On Gelfand-Kirillov dimension and related topics
• Morita duality and Noetherian rings
• Dualizing complexes over noncommutative graded algebras
• Rings with Auslander dualizing complexes
• Homological properties of (graded) Noetherian PI rings
• Zariskian filtrations
• zariskian filtrations
• The Restriction of Admissible Modules to Parabolic Subalgebras
• Growth of graded noetherian rings
• Homological identities for noncommutative rings

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