Localization and Catenarity in Strongly Graded Rings

DOI10.1080/00927870600636902zbMath1106.16045OpenAlexW2111482004MaRDI QIDQ5489256

Thomas Guédénon

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600636902

zbMATH Keywords

strongly graded ringslocalizationscatenaritygroup-graded ringsAR propertynoncommutative regular semilocal rings

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Graded rings and modules (associative rings and algebras) (16W50) Localization and associative Noetherian rings (16P50)

Cites Work

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• Localization and ideal theory in Noetherian strongly group-graded rings
• Group-graded rings and modules
• Localization in rings equipped with an action of a solvable Lie algebra
• Modules sans torsion et modules injectifs sur les algèbres de Lie resolubles
• Localization, catenarity and dimensions in rings equipped with a Lie algebra action
• On the ubiquity of Gorenstein rings
• On strongly graded rings and crossed products
• Ore Extensions and Polycyclic Group Rings
• Relative krull dimension and prime ideals in right noetherian rings
• Localization and the AR Property
• Local Rings and Normalizing Sets of Elements

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