Catenarity in rings with abelian group action

DOI10.1080/00927870008826907zbMath0958.16029OpenAlexW2014767036MaRDI QIDQ4947092

Thomas Guédénon

Publication date: 23 January 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008826907

zbMATH Keywords

skew group ringsaffine algebrasuniversally catenary ringslocally finite actions

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Other classes of modules and ideals in associative algebras (16D80) Twisted and skew group rings, crossed products (16S35) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Localization and ideal theory in Noetherian strongly group-graded rings
• Catenarity and Gelfand-Kirillov dimension in Ore extensions
• Localization, catenarity and dimensions in rings equipped with a Lie algebra action
• Prime Ideals in Differential Operator Rings. Catenarity
• Prime ideals in skew Laurent polynomial rings

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